2024

174. J.-M. De Koninck and R. Jakimczuk, Summing the largest prime factor over integer sequences, Revista de la Union Matematica Argentina 67 (2024), no. 1, 27-35.

175. J.-M. De Koninck and W. Verreault, On the tower factorization of integers, American Mathematical Monthly 131 (2024), Issue 6, 511-518.

176. J.-M. De Koninck and W. Verreault, Arithmetic functions at factorial arguments, Publications de l'Institut Mathématique (Matematicki institut SANU, Beograd), Issue: (N.S.) 115 (129), 2024, 45-78.

177. J.-M. De Koninck, Hans Schmidt Ramiliarimanana and A Arthur Bonkli Razafindrasoanaivolala,   Integers with a sum of co-divisors yielding a square, Research in Number theory 10 (2024), Issue 2, June, Article 30.

2023

171. J.-M. De Koninck and I. Kátai, Spacings between selected prime divisors of an integer, Bulletin Australian Mathematical Society, Vol. 107 (2023), Issue 3, 403-415.

172. J.-M. De Koninck and A Arthur Bonkli Razafindrasoanaivolala, On the quotient of the logarithms of the middle divisors of an integer, Afrika Matematika 34, no. 2 (2023),
1-15.

173. J.-M. De Koninck and I. Kátai, Creating normal numbers using the prime divisors of consecutive integers, Uniform Distribution Theory 18 (2023), no. 2, 1–18.

2022

168. J.-M. De Koninck and I. Kátai, On the consecutive prime divisors of an integer, Funct. Approx. Comment. Math. 66 (2022), no. 1, 7–33.

169. J.-M. De Koninck and I. Kátai, Consecutive neighbour spacings between the prime divisors of an integer, Colloquium Mathematicum 170 (2022), 289-305.

170. J.-M. De Koninck, I. Kátai, and B.M. Phong, Expanding on results of Wirsing and Klurman, Ann. Univ. Sci. Budapest. Sect. Comput. 53 (2022), 137-143

2021

167. J.-M. De Koninck and I. Kátai, On key applications of the Turan-Kubilius inequality, Lithuanian Mathematical journal, 61 (2021), Issue 3, July, 312-322.

166. J.-M. De Koninck, I. Kátai and B.M. Phong, Almost-additive and almost-multiplicative functions with regularity properties, Publicationes Mathematicae Debrecen, 99 (2021), no. 1-2, 151-160.

165. J.-M. De Koninck and I. Kátai, On an open question regarding generalized number systems in Euclidean spaces, Ann. Univ. Sci. Budapest. Sect. Comput. 52 (2021), 93-96.

164. J.-M. De Koninck, I. Kátai and B.M. Phong, On the variations of completely multi-plicative functions at consecutive arguments, Publicationes Mathematicae Debrecen, 98 (2021), 1-2, 219-230.

163. J.-M. De Koninck, N. Doyon, and W. Verreault, Repetitions of multinomial coefficients and a generalization of Singmaster's conjecture, Integers 21 (2021), Article #A34.

162. J.-M. De Koninck, A front row seat to the work of Aleksandar Ivić, Bulletin de l'Académie serbe des sciences et des arts 46 (2021), 13-43.

2020

161. J.-M. De Koninck and I. Kátai, Exponential sums running over particular subsets of positive integers, Annales Univ. Sci. Budapest 51 (2020), 51-57.

160. J.-M. De Koninck, I. Kátai, and B.M. Phong, Characterising some triplets of completely multiplicative functions, Annales Univ. Sci. Budapest 50 (2020), 101-112.

159. J.-M. De Koninck and I. Kátai, Digit patterns in real numbers created from permutations, Annales Univ. Sci. Budapest 50 (2020), 93-100.

158. J.-M. De Koninck and Arthur A Razafindrasoanaivolala, On the middle divisors of an integer, Annales Univ. Sci. Budapest 50 (2020), 113-126.

157. J.-M. De Koninck, N. Doyon, W. Verreault, and A Arthur Bonkli Razafindrasoanaivolala, Bounds for the counting function of the Jordan-Polya numbers, Archivum Mathematicum 56 (2020), 135-146.

156. J.-M. De Koninck and I. Kátai, Further generalisations of a classical theorem of Daboussi, Colloquium Mathematicum 162 (2020), no. 1, 109-119.

155. J.-M. De Koninck and P. Letendre, New upper bounds for the number of divisors function, Colloquium Math. 162 (2020), 23-52.

2019

154. J.-M. De Koninck, N. Doyon, V. Ouellet, The limit distribution of the middle prime factors of an integer, Integers 19 (2019), Article #A56, 23 pages.

153. J.-M. De Koninck, I. Kátai and Bui Minh Phong, On some consequences of recently proved conjectures, Annales Univ. Sci. Budapest, Sect. Comp. 49 (2019), 123-128.

152. J.-M. De Koninck and I. Kátai, On the divisors of shifted primes, Turkish Journal of Mathematics 43 (2019), no. 2, 998-1004.

151. J.-M. De Koninck and F. Luca, Consecutive integers with close kernels, Canadian Mathematical Bulletin 62 (2019) (3), 469-473.

150. J.-M. De Koninck, I. Kátai and B.M. Phong, Three new conjectures related to the values of arithmetic functions at consecutive integers, Annales Univ. Sci. Budapest,
Sect. Comp. 49 (2019), 425-427.

149. J.-M. De Koninck and I. Kátai, Distribution of arithmetic functions on particular subsets of integers, Lithuanian Mathematical Journal 59 (2019), Issue 1, 24-38.

148. J.-M. De Koninck and I. Kátai, Partitioning the set of primes to create r-dimensional sequences which are uniformly distributed modulo [0; 1)r, Uniform Distribution Theory, 14 (2019), no.1, 11-18.

147. J.-M. De Koninck and I. Kátai, On the values of the Euler function around shifted primes, Annales mathématiques du Québec 43 (2019), Issue 1, 37-50.

2018

146. J.-M. De Koninck and M. Moineau, Consecutive integers divisible by a power of their largest prime factor, Journal of Integer Sequences 21 (2018), no. 9, Article 18.9.3, 16 pp.

145. J.-M. De Koninck and I. Kátai, On properties of sharp normal numbers and of non-Liouville numbers, Annales mathématiques du Québec 42 (2018), Issue 1, 31-47.

144. J.-M. De Koninck, N. Doyon, F. Laniel, On the proximity of multiplicative functions to the number of distinct prime factors function, Math. Slovaca 68 (2018), No. 3, 1{14.

143. J.-M. De Koninck and I. Kátai, Distinguishing between sharp and non-sharp normal numbers, Math. Pannon. 26 (2017/2018), no. 1, 3-14.

2017

142. J.-M. De Koninck and I. Kátai, On the k-fold iterates of the sum of divisors function, Colloquium Mathematicum 147 (2017), no.2, 247-255.

141. J.-M. De Koninck and I. Kátai, On the distribution of the number of prime factors of the k-fold iterate of various arithmetic functions, Annales Univ. Sci. Budapest, Sect. Computatorica 46 (2017), 27-38.

140. J.-M. De Koninck and I. Kátai, Normal numbers in generalized number systems in Euclidean spaces, Annales Univ. Sci. Budapest, Sect. Computatorica 46 (2017), 15-25.

139. J.-M. De Koninck and I. Kátai, On the distribution of the difference of some arithmetic functions, Bulletin of the Hellenic Mathematical Society 61 (2017), 1-10.

138. J.-M. De Koninck and I. Kátai, On the number of prime factors of the k-fold iterate of the Euler function at consecutive arguments, Analytic and probabilistic methods in number theory : proceedings of the second international conference in honour of J. Kubilius, Palanga, Lithuania, 23-27 September 1996, Antanas Laurincikas, editor, 2017, pp.29-44.

2016

137. J.-M. De Koninck and I. Kátai, Iterates of the sum of the unitary divisors of an integer, Annales Univ. Budapest, Sect. Computatorica 45 (2016), 101-110.

135. J.-M. De Koninck and I. Kátai, On the k-fold iterates of the Euler totient function at shifted primes, Annales Univ. Budapest Sect. Computatorica 45 (2016), 89-99.

134 J.-M. De Koninck and I. Kátai, On convoluted sums, Annales Univ. Budapest, Sect. Computatorica 45 (2016), 75-87.

133. J.-M. De Koninck, I. Kátai and B.M. Phong, On strong normality, Uniform Distribution Theory 11 (2016), no. 1, 59-78. 

132. J.-M. De Koninck and I. Kátai, The index of composition of the iterates of the Euler function, Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis 32 (2016), no. 2, 303-311.

131. J.-M. De Koninck and I. Kátai, Shifted values of the largest prime factor function and its average value in short intervals, Colloquium Mathematicum143 (2016), no. 1, 39-62.

2015

130. J.-M. De Koninck and I. Kátai, Prime factorization and normal numbers, Researches in Mathematics and Mechanics 20 no. 2 (2015), 69-80.

129. J.-M. De Koninck and I. Kátai, On the uniform distribution of certain sequences involving the Euler totient function and the sum of divisors function, Ann. Univ. Sci. Budapest. Sect. Comput. 44 (2015), 79-91.

128. J.-M. De Koninck and I. Kátai, The number of large prime factors of integers and normal numbers, Publications mathématiques de Besançon, Année 2015, 5-12.

126. J.-M. De Koninck, N. Doyon and P. Letendre, On the proximity of additive and multiplicative functions, Functiones et Approximatio, 52 (2015), no. 2, 327-344.

125. J.-M. De Koninck and V. Ouellet, On the n-th element of a set of positive integers, Annales Univ. Sci. Budapest Sect. Comput. 44 (2015), 153-164.

124. J.-M. De Koninck and I. Kátai, On a property of non Liouville numbers, Acta Cybernetica, 22 (2015), no. 2, 335-347.

123. J.-M. De Koninck and N. Doyon, Additive and multiplicative functions with similar global behavior, in Contemporary Mathematics, Vol. 655, AMS, 2015, pp. 58-75.

122. J.-M. De Koninck and I. Kátai, Multidimensional sequences uniformly distributed modulo 1 created from normal numbers; in Contemporary Mathematics, Vol. 655, AMS, 2015, pp. 77-82.

121. J.-M. De Koninck and I. Kátai, About an unsolved problems involving normal numbers, Annales Univ. Sci. Budapest Sect. Comput. 44 (2015), 227-232.

 

2014

120. M. E. Cloutier, J.-M. De Koninck and N. Doyon, On the powerful and squarefree parts of an integer, Journal of Integer Sequences, Vol. 17 (2014), No.6 (August), Article 14.8.6, 28 pages.

119. J.-M. De Koninck and I. Kátai, Complex roots of unity and normal numbers, Journal of Numbers, Vol. 2014 (June), Article ID 437814, 4 pages.

118. J.-M. De Koninck and I. Kátai, Normal numbers generated using the smallest prime factor function, Annales mathématiques du Quéebec 38 (2014), No.2 (Dec), 133-144.

117. J.-M. De Koninck and F. Luca, Arithmetic functions monotonic at consecutive arguments, Studia Scientiarum Mathematicarum Hungarica, 51 (2014), No.2 (June),
155-164.

116. J.-M. De Koninck and I. Kátai, The number of prime factors function on shifted primes and normal numbers, Topics in Mathematical Analysis and Applications, Series: Springer Optimization and Its Applications, Rassias, Themistocles M., Tóth, László (Eds.) Springer, Volume 94, 2014, 315-326.

115. J.-M. De Koninck and I. Kátai, Constructing normal numbers using residues of selective prime factors of integers, Annales Univ. Sci. Budapest., Sect. Comp. 42 (2014), 127-133.

114. J.-M. De Koninck and I. Kátai, Normal numbers and the middle prime factor of an integer, Colloquium Mathematicum 135 (2014), No.1 (Jan), 69-77.

113. J.-M. De Koninck and I. Kátai, Exponential sums involving arithmetic functions and shifted primes, Journal of Combinatorics and Number Theory, 6 (2014), no. 2, 77-84.

2013

112. J.-M. De Koninck, N. Doyon, F. Luca, Consecutive integers divisible by the square of their largest prime factors, Journal of Combinatorics and Number Theory, 5 (2013), No.2 (June), 81-93.

111. J.-M. De Koninck and F. Luca, On the middle prime factor of an integer, Journal of Integer Sequences, Vol. 16 (2013), No.5 (June), Article 13.5.5, 10 pages.

110. J.-M. De Koninck and I. Kátai, The uniform distribution mod 1 of sequences involving the largest prime factor function, Siauliai Math. Semin., 8 (16) (2013), (Jan), 117-129.

109. J.-M. De Koninck and I. Kátai, Prime-like sequences leading to the construction of normal numbers, Funct. Approx. Comment. Math. 49 (2013), No.2 (Dec), 291-302.

108. J.-M. De Koninck and I. Kátai, Using large prime divisors to construct normal numbers, Annales Univ. Sci. Budapest, Sect. Comput. 39 (2013), (July), 45-62.

107. J.-M. De Koninck and I. Kátai, Construction of normal numbers using the distribution of the k-th largest prime factor, Bull. Australian Mathematical Society 88 (2013), No. 1 (August), 158-168.

106. J.-M. De Koninck and I. Kátai, Exponential sums involving the k-th largest prime factor function, Journal of Integer Sequences, 16 (2013), No.2 (Feb), Article 13.2.16,13 pages.



 

2012

105. J.-M. De Koninck and I. Kátai, The distribution of additive functions in short intervals on the set of shifted integers having a fixed number of prime factors, Annales Univ. Sci. Budapest, Sect. Comput. 38 (2012), (July), 57-70.

104. J.-M. De Koninck and I. Kátai, On the distribution of the values of additive functions over integers with a fixed number of distinct prime factors, Albanian Journal of Mathematics 6 (2012), No.2, 75-86.

103. K.A. Broughan, J.-M. De Koninck, I. Kátai and F. Luca, On integers for which the sum of divisors is the square of the squarefree core, Journal of Integer Sequences 15 (2012), No.7 (Sept), Article 12.7.5, 12 pages.

102. J.-M. De Koninck and I. Kátai, Construction of normal numbers by classified prime divisors of integers II, Funct. Approx. Comment. Math. 49 (2013), No. 1 (Sept), 7-27.

101. J.-M. De Koninck and I. Kátai, Distribution of consecutive digits in the q-ary expansions of some subsequences of integers II, Analytic and probabilistic methods in number theory, 101-110, TEV, Vilnius, July 2012.

100. J.-M. De Koninck and I. Kátai, Some new methods for constructing normal numbers, Annales des Sciences Mathématiques du Québec 36 (2012), No.2 (Dec), 349-359.

99. J.-M. De Koninck and I. Kátai, Exponential sums and arithmetic functions at polynomial values, Lithuanian Mathematical Journal, Vol. 52 (2012), No.2 (April), 138-144.

98. J.-M. De Koninck and I. Kátai, Normal numbers created from primes and polynomials, Uniform Distribution Theory 7 (2012), No.2 (July), 1-20.

97. J.-M. De Koninck, I. Diouf and N. Doyon, On the truncated kernel function, Journal of Integers Sequences, vol. 15 (2012), No.3 (Mar), Article 12.3.2, 17 pages.

 

2011

96. J.-M. De Koninck and I. Kátai, On a problem on normal numbers raised by Igor Shparlinski, Bulletin of the Australian Mathematical Society 84 (2011), No.2 (Oct),
337-349.

95. J.-M. De Koninck and N. Doyon, On the distance between smooth numbers, Integers 11 (2011), #A25 (April), 1-22.

94. J.-M. De Koninck and I. Kátai, Arithmetic functions and their coprimality, Functiones et Approximatio 45 (2011), No.1 (Sept), 55-66.

93. J.-M. De Koninck and I. Kátai, Construction of normal numbers by classified prime divisors of integers, Functiones et Approximatio 45 (2011), No.2 (Dec), 231-253.

92. J.-M. De Koninck and I. Kátai, On the asymptotic value of the irrational factor,
Annales des Sciences Mathématiques du Québec 35 (2011), No. 1 (June), 117-121.

91. J.-M. De Koninck, N. Doyon and I. Kátai, Arithmetic functions evaluated at polynomial values, Ann. Univ. Sci. Budapest Sect. Comput. 34 (2011), (July), 95-114.

90. J.-M. De Koninck, N. Doyon and F. Luca, Powerful values of quadratic polynomials, Journal of Integer Sequences, Vol. 14 (2011), No.3 (May), Article 11.3.3, 11 pages

89. J.-M. De Koninck and I. Kátai, On the local distribution of the number of prime factors of (n; 'k(n)), Advances and Applications in Mathematical Sciences 9 (2011),
No.1 (Jan), 71-83.

88. J.-M. De Koninck and I. Kátai, Exponential sums involving the largest prime factor function, Acta Arithmetica 146 (2011), (May), 233-245.





 

2010

87. J.-M. De Koninck and I. Kátai, On a theorem of Daboussi related to the set of Gaussian integers II, Mathematica Pannonica 21 (2010), No.2 (June), 207-213.

86. J.-M. De Koninck and F. Luca, On sums of powers of prime factors of an integer,
Annales Univ. Sci. Budapest. Sect. Comp. 32 (2010), (July), 13-21.

85. J.-M. De Koninck and I. Kátai, On the coprimality of some arithmetic functions,
Publications de l'Institut Mathématique 87 (2010), (Feb), 121-128.

84. J.-M. De Koninck and I. Kátai, Some Remarks on a paper of L. Tóth, Journal of
Integer Sequences 13 (2010), no.1 (Jan), Article 10.1.2, 26 pages.

 

2009

83. J.-M. De Koninck and N. Doyon, Esthetic numbers, Annales des Sciences mathématiques du Québec33 (2009), no.2 (Dec), 155-164.

82. J.-M. De Koninck and F. Luca, The product of exponents in the factorization of consecutive integers, Mathematika 55 (2009), no.1-2 (Dec), 59-65.

81. J.-M. De Koninck and F. Luca, On the index of composition of the Euler function,
Journal of Australian Mathematics, 86 (2009), No.2 (April), 155-167.

80. J.-M. De Koninck, J. Friedlander and F. Luca, On Strings of Consecutive Integers with a Distinct Number of Prime Factors, Proc. Amer. Math. Soc. 137 (2009), no. 5
(May), 1585-1592.

 

2008

79. J.-M. De Koninck, N. Doyon and I. Kátai, Counting the number of twin Niven numbers, Ramanujan J. 17 (2008), no. 1 (Oct), 89-105.

78. J.-M. De Koninck and F. Luca, On the difference of arithmetic functions at consecutive arguments, Anatomy of Integers, CRM Proceedings and Lecture Notes, AMS, Vol 46 (June) (2008), 179-189.

77. J.-M. De Koninck, N. Doyon and P. Letendre, On the distribution of the number of digits needed to write the factorization of an integer, Annales Universitatis Budapestinensis Sectio Computatorica 28 (June) (2008), 197-212.

76. J.-M. De Koninck and F. Luca, Positive integers n such that ((n)) = (n), Journal of Integer Sequences 11 (2008), no.1 (Jan), Article 08.1.5, 14 pp.

75. J.-M. De Koninck and F. Luca, Integers divisible by sums of powers of their prime factors, J. Number Theory 128, no.3 (March), (2008), 557-563.


 

2007

74. J.-M. De Koninck and I. Kátai, On an estimate of Kanold, Int. J. Math. Anal. 5/8
(2007), no. 1-12, 9-18.

73. J.-M. De Koninck and N. Doyon, On the set of Wieferich primes and of its complement, Annales Univ. Sci. Budapestinensis Sectio Computatorica 27 (2007), 3-13.

72. J.-M. De Koninck and I. Kátai, Distribution of arithmetic functions on certain subsets of integers, Rocky Mountain Journal of Mathematics 37 (2007), no. 5, 1459-1482.

71. J.-M. De Koninck, N. Doyon et F. Luca, Sur la quantité de nombres économiques, Acta Arithmetica 127 (2007), 125-143.

70. J.-M. De Koninck and F. Luca, On the composition of the Euler function and the sum of the divisors function, Colloquium Mathematicum 108 (2007), 31-51.

69. J.-M. De Koninck, I. Kátai and M.V. Subbarao, On the index of composition of integers from various sets, Archiv der Mathematik 88 (2007), 524-536.

68. J.-M. De Koninck and F. Luca, Positive integers divisible by the product of their non zero digits, Portugaliae Mathematica, 64, no.1 (2007), 75-85.

67. J.-M. De Koninck and F. Luca, Partial sums of powers of prime factors, Journal of
Integer Sequences 10 (2007), Article 07.1.6.

66. J.-M. De Koninck and I. Kátai, Sums of reciprocals of additive functions running over short intervals, Colloquium Mathematicum 107 (2007), 317-326.

2006

65. J.-M. De Koninck, I. Kátai and M.V. Subbarao, A consequence of a Theorem of Filaseta, Annales des Sciences mathématiques du Québec 30 (2006), 55-62.

64. J.-M. De Koninck and F. Luca, Counting the number of economical numbers, Publicationes Mathematicae Debrecen 68 (2006), 97-113.

63. J.-M. De Koninck, F. Luca and A. Sankaranarayanan, Positive integers n whose Euler function is a power of their kernel function, Rocky Mountain Journal of Mathematics 36, no.1 (2006), 81-96.

62. J.-M. De Koninck and I. Kátai, On the local distribution of certain arithmetic functions, Lietuvos Matematikos Rinkinys 46 (2006), 315-331.

61. J.-M. De Koninck and F. Luca, Integers divisible by the sum of their prime factors, Mathematika 52 (2005), no. 1-2, 69-77 (2006).

2005

60. J.-M. De Koninck, F. Luca and L. Szalay, A Schinzel Hyptohesis H type of result for economical numbers, Annales des Sciences mathématiques du Québec 29 (2005), no.1, 35-39.

59. J.-M. De Koninck and I. Kátai, On the average of d(n)!(n) and similar functions on short intervals, Annales Univ. Sci. Budapestinensis, Sect. Comp. 25 (2005), 131-142.

58. J.-M. De Koninck and F. Luca, On strings of consecutive economical numbers of arbitrary length, Integers 5 (2005), #A5.

57. J.-M. De Koninck and F. Luca, Integers representable as the sum of powers of their prime factors, Functiones et Approximatio 23 (2005), 57-72.

56. J.-M. De Koninck and I. Kátai, On the mean value of the index of composition of an integer, Monatshefte für Mathematik 145 (2005), no. 2, 131-144.

55. J.-M. De Koninck, F. Luca and I.E. Shparlinski, Powerful Numbers in Short Intervals, Bulletin of the Australian Math. Soc. 71, No. 1 (2005), 11-16.

54. J.-M. De Koninck and I. Kátai, On the distribution modulo 1 of the values of F(n) +  (n), Publicationes Mathematicae Debrecen 66 (2005), 121-128.

2004

53. J.-M. De Koninck and I. Kátai, On the multiplicative group generated by shifted binary quadratic forms, Ann. Univ. Sci. Budapest Sect. Comput. 47 (2004), 17-28.

51. J.-M. De Koninck, Computational problems and queries in number theory, Annales Rolando Eötvos Nominatae 23 (2004), 149-161.

52. J.-M. De Koninck et F. Luca, Sur la proximité des nombres puissants, Acta Arithmetica 114 (2004), 149-157.

2003

50. J.-M. De Koninck and F. Luca, On the difference of values of the kernel function at consecutive integers, International Journal of Mathematics and Mathematical Sciences 67 (2003), 4249-4262.

49. N. Bassily, J.-M. De Koninck and I. Kátai, On a theorem of Daboussi related to the set of Gaussian integers, Mathematica Pannonica 14 (2003), 267-272.

48. J.-M. De Koninck and N. Doyon, Large and small gaps between consecutive Niven numbers, Journal of Integer Sequences Vol. 6 (2003), Article 03.2.5.

47. J.-M. De Koninck and N. Doyon, On a thin set of integers involving the largest prime factor function, International Journal of Mathematics and Mathematical Sciences 19 (2003), 1185-1192.

46. J.-M. De Koninck et N. Doyon, À propos de l'indice de composition des nombres, Monatshefte für Mathematik 139 (2003), 151-167.

45. J.-M. De Koninck, N. Doyon and I. Kátai, On the counting function for the Niven numbers, Acta Arithmetica 106 (2003), 265-275.

44. J.-M. De Koninck and N. Doyon, On the number of Niven numbers up to x, The
Fibonacci Quarterly 41, Nov. 2003, 431-440.




 

2002

43. J.-M. De Koninck, Ces mathématiques qui nous font grandir !, Bull. Assoc. Math. Québec 42 (2002), 17-26.

42. J.-M. De Koninck, On the solutions of 2(n) = 2(n +l), Ann. Univ. Sci. Budapest
Sect. Comput. 21 (2002), 127-133.

41. J.-M. De Koninck et G. Tenenbaum, Sur la loi de répartition du k-ième facteur premier d'un entier, Math. Proc. Cambridge Philo. Soc. 133 (2002), no. 2, 191-204.

40. J.-M. De Koninck and I. Kátai, On the frequency of k-deficient numbers, Publicationes Mathematicae Debrecen 61 (2002), 595-602.

2001

39. J.-M. De Koninck and N. Doyon, On a very thin sequence of integers, Annales Rolando Eötvös Nominatae 20 (2001), 157-177.

38. J.-M. De Koninck and J. Sweeney, On the unimodal character of the frequency function of the largest prime factor, Colloquium Mathematicum 88, no. 2, (2001), 159-174.

2000

37. J.-M. De Koninck et B. Hodgson, Ces nombres qui nous fascinent, dans Mathématiques d'hier et d'aujourd'hui, Collection Astroïde, 69-90, MODULO, 2000.

1999

36. J.-M. De Koninck and J. Grah, Arithmetic functions and weighted averages, Colloquium Mathematicum 79 (1999), 249-272.

1998

35. J.-M. De Koninck and A. Ivić, On a Sum of Divisors Problem, Publ. Inst. Math.
Belgrade 64 (78) (1998), 9-20.

1997

34. J.-M. De Koninck, I. Kátai and B.M. Phong, A new characteristic of the identity function, J. of Number Theory 63 (1997), 325-338.

1996

33. J.-M. De Koninck and A. Ivić, Arithmetic functions defined on sets of primes of positive density, Mathematica Balkanica, 10 (1996), 1-15.

32. J.-M. De Koninck et J. Grah, Moyennes sur certains ensembles de diviseurs d'un entier, L'Enseignement mathématique 42 (1996), 97-123.

1995

31. J.-M. De Koninck and I. Kátai, On the distribution of subsets of primes in the prime factorization of integers, Acta Arithmetica, 72 (1995), 169-200.

30. J.-M. De Koninck and A. Ivić, Arithmetic characterization of regularly varying functions, Ricerche di Matematica, 44 (1995), 41-64.

1994

29. J.-M. De Koninck, On the largest prime divisors of an integer, Proceedings of the Conference on Extreme Value Theory and Applications, Vol. 1, Gaithersburg Maryland,
1994, 447-462.

1993

28. J.-M. De Koninck, Sur les plus grands facteurs premiers d'un entier​​​​​​​, Monatschefte für Mathematik, 116 (1993), 13-37.

1992

27. J.-M. De Koninck, I. Kátai and A. Mercier, On the normal growth of prime factors of integers, J. Can. Math., 44 (1992), 1121-1154.

1991

26. J.-M. De Koninck, I. Kátai and A. Mercier, Additive functions monotonic on the set of primes II, J. Can. Math. 43 (1991), 705-720.

25. J.-M. De Koninck, I. Kátai and A. Mercier, Additive functions monotonic on the set of primes​​​​​​​, Acta Arith. 57 (1991), 41-68.

1990

24. J.-M. De Koninck and A. Ivić, On the average prime factor of an integer and some related problems, Ricerche di Matematica 39 (1990), 131-140.

23. J.-M. De Koninck and A. Ivić, Random sums related to prime divisors of an integer, Publi. Inst. Math. (Belgrade) 62 (1990), 7-24.

22. J.-M. De Koninck, I. Kátai and A. Mercier, Continuity module of the distribution of additive functions related to the largest prime factors of integers, Archiv der Math. 55 (1990), 450-461.

21. J.-M. De Koninck et A. Mercier, Fonctions arithmétiques tronquées, Acta Math. Hung. 56 (1990), 211-224.
 

1989

20. J.-M. De Koninck, I. Kátai and A. Mercier, Additive functions and the largest prime factor of integers, J. Number Theory 33 (1989), 293-310.

19. J.-M. De Koninck and A. Ivić, The average prime divisor of an integer in short intervals, Archiv der Math. 52 (1989), 440-448.

18. J.-M. De Koninck et A. Mercier, Les fonctions arithmétiques et le plus grand facteur premier, Acta Arith. 52 (1989), 25-48.

 

1988

17. J.-M. De Koninck and R. Sitaramachandrarao, Sums involving the largest prime divisor of an integer II, Indian J. Pure and Applied Math. 19 (1988), 990-1004.

16. J.-M. De Koninck and J. Galambos, Some randomly selected arithmetical sums, Acta Math. Hung. 52 (1988), 37-43.

1987

15. J.-M. De Koninck and J. Galambos, The intermediate prime divisors of integers, Proc. Amer. Math. Soc. 101 (1987), 213-216.

14. J.-M. De Koninck and R. Sitaramachandrarao, Sums involving the largest prime divisor of an integer, Acta Arith. 48 (1987), 1-8.

1986

13. J.-M. De Koninck and A. Ivić, On the distance between consecutive divisors of an integer, Bull. Can. Math. 29 (1986), 208-217.

1984

12. J.-M. De Koninck and A. Ivić, The distribution of the average prime divisor of an integer, Archiv der Math. 43 (1984), 37-43.

11. J.-M. De Koninck et A. Ivić, Somme de réciproques de grandes fonctions additives,
Publ. Inst. Math. Belgrade 49 (1984), 41-48.

1981

10. J.-M. De Koninck, P. Erdős and A. Ivić, Reciprocals of certain large additive functions, Bull. Can. Math. 24 (1981), 225-231.

1980

9. J.-M. De Koninck and A. Ivić, Sums of reciprocals of certain additive functions,
Manuscripta Math. 30 (1980), 329-341.

1978

8. J.-M. De Koninck and A. Ivić, An asymptotic formula for reciprocals of logarithms of certain multiplicative functions, Bull. Can. Math. 21 (1978), 409-413.

7. J.-M. De Koninck and D. Hensley, Sums taken over n  x with prime factors  y of z(n), and their derivatives with respect to z, J. Indian Math. Soc. 42 (1978), 353-365.

1977

6. J.-M. De Koninck, Some remarks on additive functions, J. Nat. Sc. Math. 17 (1977),
31-41.

5. J.-M. De Koninck et A. Mercier, Remarque sur un article de T.M. Apostol, Bull. Can.
Math. 20 (1977), 77-88.

1974

4. J.-M. De Koninck and J. Galambos, Sums of reciprocals of additive functions, Acta
Arith. 25 (1974), 159-164.

3. J.-M. De Koninck, Note on a function similar to n!, Math. Mag. 47 (1974), 226.

2. J.-M. De Koninck, Sums of quotients of additive functions, Proc. Amer. Math. Soc.
44 (1974), 35-38.
 

1972

1. J.-M. De Koninck, On a class of arithmetical functions​​​​​​​, Duke Math. J., 39 (1972),
807-818.