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Tenenbaum, Gérald

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Author ID: tenenbaum.gerald Recent zbMATH articles by "Tenenbaum, Gérald"
Published as: Tenenbaum, G.; Tenenbaum, Gerald; Tenenbaum, Gérald
Homepage: http://www.iecl.univ-lorraine.fr/~Gerald.Tenenbaum/
External Links: MGP · Math-Net.Ru · Wikidata · ResearchGate · dblp · GND
Documents Indexed: 179 Publications since 1976, including 11 Books
all top 5

Serials

11 Mathematical Proceedings of the Cambridge Philosophical Society
10 Acta Arithmetica
8 Journal of the London Mathematical Society. Second Series
7 Journal of Number Theory
6 Annales de l’Institut Fourier
6 Compositio Mathematica
6 Proceedings of the London Mathematical Society. Third Series
6 The Ramanujan Journal
5 Indagationes Mathematicae. New Series
5 The Quarterly Journal of Mathematics
4 Bulletin de la Société Mathématique de France
4 Journal für die Reine und Angewandte Mathematik
4 Mathematika
4 Proceedings of the American Mathematical Society
4 L’Enseignement Mathématique. 2e Série
3 Inventiones Mathematicae
3 Acta Mathematica Hungarica
2 Journal d’Analyse Mathématique
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Bulletin of the London Mathematical Society
2 Commentarii Mathematici Helvetici
2 Functiones et Approximatio. Commentarii Mathematici
2 Transactions of the American Mathematical Society
2 Journal de Théorie des Nombres de Bordeaux
2 Cambridge Tracts in Mathematics
2 Cours Spécialisés (Paris)
1 Advances in Applied Probability
1 Communications in Mathematical Physics
1 Discrete Mathematics
1 Periodica Mathematica Hungarica
1 Acta Mathematica
1 The Annals of Probability
1 Bulletin des Sciences Mathématiques. Deuxième Série
1 Duke Mathematical Journal
1 Gazette des Mathématiciens
1 Journal of Differential Equations
1 Journal of Functional Analysis
1 Mathematische Zeitschrift
1 Monatshefte für Mathematik
1 The Quarterly Journal of Mathematics. Oxford Second Series
1 Theoretical Computer Science
1 Tokyo Journal of Mathematics
1 Statistics & Probability Letters
1 Journal of Complexity
1 Revista Matemática Iberoamericana
1 Publicacions Matemàtiques
1 Aequationes Mathematicae
1 Notices of the American Mathematical Society
1 Philosophical Transactions of the Royal Society of London. Series A
1 Experimental Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Journal of the Institute of Mathematics of Jussieu
1 Cambridge Studies in Advanced Mathematics
1 Graduate Studies in Mathematics
1 Proceedings of the Steklov Institute of Mathematics
1 Publications Mathématiques d’Orsay
1 Student Mathematical Library
1 Developments in Mathematics
1 Evolution Equations and Control Theory

Publications by Year

Citations contained in zbMATH

140 Publications have been cited 1,497 times in 938 Documents Cited by Year
Introduction to analytic and probabilistic number theory. 2ème éd. Zbl 0880.11001
Tenenbaum, Gérald
202
1995
Introduction to analytic and probabilistic number theory. Zbl 0788.11001
Tenenbaum, G.
131
1990
Introduction to analytic and probabilistic number theory. Transl. from the 2nd French ed. by C.B.Thomas. Zbl 0831.11001
Tenenbaum, Gérald
121
1995
Integers without large prime factors. Zbl 0797.11070
Hildebrand, Adolf; Tenenbaum, Gérald
79
1993
On integers free of large prime factors. Zbl 0601.10028
Hildebrand, Adolf; Tenenbaum, Gérald
43
1986
Divisors. Zbl 0653.10001
Hall, Richard R.; Tenenbaum, Gérald
36
1988
A spectral approach for the exact observability of infinite-dimensional systems with skew-adjoint generator. Zbl 1140.93395
Ramdani, K.; Takahashi, T.; Tenenbaum, G.; Tucsnak, M.
30
2005
Entiers sans grand facteur premier en progressions arithmetiques. (Integers free of large primefactors in arithmetic progressions). Zbl 0745.11042
Fouvry, E.; Tenenbaum, G.
30
1991
On densities of certain sequences of integers. Zbl 0694.10040
Erdős, Paul; Tenenbaum, G.
30
1989
Introduction to analytic and probabilistic number theory. Transl. from the 3rd French edition by Patrick D. F. Ion. 3rd expanded ed. Zbl 1336.11001
Tenenbaum, Gérald
29
2015
New blow-up rates for fast controls of Schrödinger and heat equations. Zbl 1127.93016
Tenenbaum, G.; Tucsnak, M.
28
2007
Short sums of certain arithmetic functions. Zbl 0917.11048
Nair, Mohan; Tenenbaum, Gérald
24
1998
Dimension des courbes planes, papiers plies et suites de Rudin-Shapiro. Zbl 0468.10033
Mendès France, Michel; Tenenbaum, G.
24
1981
Statistical properties of friable integers. Zbl 1152.11040
de la Bretèche, Régis; Tenenbaum, Gérald
22
2005
Trigonometric series with arithmetical coefficients. Zbl 1171.11319
de la Bretèche, R.; Tenenbaum, G.
22
2004
Sums of digits of multiples of integers. Zbl 1110.11025
Dartyge, Cécile; Tenenbaum, Gérald
20
2005
On the number of prime factors of an integer. Zbl 0655.10036
Hildebrand, Adolf; Tenenbaum, Gérald
19
1988
On the set of divisors of an integer. Zbl 0536.10039
Maier, H.; Tenenbaum, G.
19
1984
Statistical distribution of integers without large prime factors in arithmetic progressions. Zbl 0858.11049
Fouvry, E.; Tenenbaum, G.
18
1996
Averages of certain multiplicative functions over smooth integers. Zbl 1195.11132
Tenenbaum, Gérald; Wu, Jie
17
2003
Sur la probabilité qu’un entier possède un diviseur dans un intervalle donné. Zbl 0541.10038
Tenenbaum, G.
17
1984
Sur une question d’Erdős et Schinzel. II. (On a question of Erdős and Schinzel. II). Zbl 0699.10063
Tenenbaum, G.
16
1990
Sur un problème de crible et ses applications. (On a sieve method and its applications). Zbl 0599.10037
Tenenbaum, Gérald
16
1986
On the null-controllability of diffusion equations. Zbl 1236.93025
Tenenbaum, Gérald; Tucsnak, Marius
15
2011
Lois de répartition des diviseurs 1. Zbl 0408.10035
Deshouillers, Jean-Marc; Dress, Francois; Tenenbaum, Gerald
15
1979
Riesz and Valiron means and fractional moments. Zbl 0585.40006
Bingham, N. H.; Tenenbaum, G.
14
1986
On a class of differential-difference equations arising in number theory. Zbl 0797.11072
Hildebrand, Adolf; Tenenbaum, Gérald
13
1993
Fast and strongly localized observation for the Schrödinger equation. Zbl 1158.93013
Tenenbaum, G.; Tucsnak, M.
12
2009
The prime numbers and their distribution. Transl. from the French by Philip G. Spain. Zbl 0942.11001
Tenenbaum, Gérald; Mendès France, Michel
12
2000
On the nonderivability of periodic functions associated with certain summation formulas. Zbl 0869.11019
Tenenbaum, Gérald
12
1997
Local densities over integers free of large prime factors. Zbl 0604.10024
Ivić, Aleksandar; Tenenbaum, Gérald
12
1986
Congruences of sums of digits of polynomial values. Zbl 1153.11307
Dartyge, Cécile; Tenenbaum, Gérald
11
2006
Friable integers: Turán-Kubilius inequality and applications. Zbl 1182.11045
de la Bretèche, R.; Tenenbaum, G.
11
2005
Polynomial values free of large prime factors. Zbl 0980.11041
Dartyge, Cécile; Martin, Greg; Tenenbaum, Gérald
11
2001
Sieve of Eratosthenes and Kubilius model. Zbl 0936.11052
Tenenbaum, Gérald
10
1999
Sur la concentration moyenne des diviseurs. (On the mean concentration of divisors). Zbl 0581.10020
Tenenbaum, Gérald
10
1985
On mean values of random multiplicative functions. Zbl 1294.11167
Lau, Yuk-Kam; Tenenbaum, Gérald; Wu, Jie
9
2013
Erdős-Turán constants. Zbl 1145.11318
Rivat, J.; Tenenbaum, G.
9
2005
Sieving integers without large prime factors. Zbl 0795.11042
Tenenbaum, G.
9
1993
Effective mean value estimates for complex multiplicative functions. Zbl 0741.11039
Hall, R. R.; Tenenbaum, G.
8
1991
Facteurs premiers de sommes d’entiers. (Prime factors of sums of integers). Zbl 0678.10030
Tenenbaum, Gérald
8
1989
On the normal concentration of divisors. Zbl 0576.10034
Maier, H.; Tenenbaum, G.
8
1985
Sur la structure de la suite des diviseurs d’un entier. (On the structure of the séquence of divisors of an integer). Zbl 0437.10020
Erdős, Paul; Tenenbaum, G.
8
1981
Lois de répartition des diviseurs. 2. Zbl 0437.10028
Tenenbaum, Gerald
8
1980
Averages of certain multiplicative functions over friable integers. II. Zbl 1195.11129
Hanrot, Guillaume; Tenenbaum, Gérald; Wu, Jie
7
2008
On a sieve problem and its applications. II: Corrigendum and study of the divisor graph. Zbl 0852.11048
Tenenbaum, Gérald
7
1995
On arithmetic functions related to consecutive divisors. Zbl 0676.10030
Erdős, Paul; Tenenbaum, G.
7
1989
On consecutive Farey arcs. Zbl 0553.10011
Hall, R. R.; Tenenbaum, G.
7
1984
Sur l’équirepartition modulo 1 de certaines fonctions de diviseurs. Zbl 0504.10029
Dupain, Y.; Hall, R. R.; Tenenbaum, G.
7
1982
Lois de répartition des diviseurs. 5. Zbl 0422.10050
Tenenbaum, Gerald
7
1979
Effective means for complex multiplicative functions. Zbl 1426.11113
Tenenbaum, Gérald
6
2017
Asymptotic behaviour of the kernel of an integer. Zbl 1295.11103
Robert, Olivier; Tenenbaum, Gérald
6
2013
On Manin’s conjecture for certain Châtelet surfaces. Zbl 1295.11029
de la Bretèche, Régis; Tenenbaum, Gérald
6
2013
Mean values of arithmetic functions of binary forms. Zbl 1284.11126
de la Bretèche, Régis; Tenenbaum, Gérald
6
2012
Products of ratios of consecutive integers. Zbl 1155.11343
de la Bretèche, Régis; Pomerance, Carl; Tenenbaum, Gérald
6
2005
La méthode du col en théorie analytique des nombres. (The saddle point method in analytic number theory). Zbl 0664.10024
Tenenbaum, Gérald
6
1988
Sur les diviseurs consecutifs d’un entier. (On consecutive divisors of an integer). Zbl 0526.10036
Erdős, Paul; Tenenbaum, G.
6
1983
Friable values of binary forms. Zbl 1268.11136
Balog, Antal; Blomer, Valentin; Dartyge, Cécile; Tenenbaum, Gérald
5
2012
Divisors. Reprint of the 1988 hardback ed. Zbl 1156.11002
Hall, Richard R.; Tenenbaum, Gérald
5
2008
A sharp geometric condition for the boundary exponential stabilizability of a square plate by moment feedbacks only. Zbl 1237.93146
Ammari, K.; Tucsnak, M.; Tenenbaum, G.
5
2007
A rate estimate in Billingsley’s theorem for the size distribution of large prime factors. Zbl 1004.11050
Tenenbaum, Gérald
5
2000
Inverse theorems and the number of sums and products. Zbl 0947.11008
Nathanson, Melvyn B.; Tenenbaum, Gérald
5
1999
On the distribution of values of Euler’s function. Zbl 0893.11037
Balazard, Michel; Tenenbaum, Gérald
5
1998
Un problème de probabilité conditionnelle en arithmétique. (A problem of conditional probability in arithmetic). Zbl 0636.10038
Tenenbaum, Gérald
5
1987
Sur une somme liee à la fonction de Moebius. Zbl 0497.10003
Dress, F.; Iwaniec, H.; Tenenbaum, G.
5
1983
Lois de répartition des diviseurs. 4. Zbl 0403.10029
Tenenbaum, Gerald
5
1979
Localized oscillations over the divisors. Zbl 1258.11086
de la Bretèche, R.; Tenenbaum, G.
4
2012
On the friable Turán-Kubilius inequality. Zbl 1214.11109
Martin, B.; Tenenbaum, G.
4
2010
Local distribution laws of the \(k\)th divisor of an integer. Zbl 1015.11047
de la Bretèche, Régis; Tenenbaum, Gérald
4
2002
Answers to exercises in analytic and probabilistic number theory. With the collaboration of Jie Wu. Zbl 0873.11002
Tenenbaum, Gérald
4
1996
Systems of points, divisors and fractal structures. Zbl 0787.11040
Mendès France, Michel; Tenenbaum, Gérald
4
1993
Une inégalité de Hilbert pour les diviseurs. (A Hilbert inequality for divisors). Zbl 0728.11045
Tenenbaum, G.
4
1991
On arithmetic functions involving consecutive divisors. Zbl 0718.11041
Balog, A.; Erdős, Paul; Tenenbaum, G.
4
1990
Sur une question d’Erdős et Schinzel. (On a question of Erdős and Schinzel). Zbl 0713.11069
Tenenbaum, Gérald
4
1990
Sur un problème extrémal en arithmétique. (On an extremal problem in arithmetic). Zbl 0622.10030
Tenenbaum, Gérald
4
1987
On the average and normal orders of Hooley’s Delta-function. Zbl 0489.10046
Hall, R. R.; Tenenbaum, G.
4
1982
On ultrafriable integers. Zbl 1391.11129
Tenenbaum, Gérald
3
2015
A refinement of the \(abc\) conjecture. Zbl 1357.11044
Robert, Olivier; Stewart, Cameron L.; Tenenbaum, Gérald
3
2014
Some of Erdős’ unconventional problems in number theory, thirty-four years later. Zbl 1321.11001
Tenenbaum, Gérald
3
2013
On the friable Turán-Kubilius inequality. Zbl 1348.11068
de la Bretèche, Régis; Tenenbaum, Gérald
3
2012
Friable Turan-Kubilius constants: a numerical study. Zbl 1276.11152
Hanrot, Guillaume; Martin, Bruno; Tenenbaum, Gérald
3
2010
On the local behavior of the distribution of Euler’s totient function. Zbl 1184.11044
Tenenbaum, Gérald; Toulmonde, Vincent
3
2006
Density results on floating-point invertible numbers. Zbl 1064.68003
Hanrot, G.; Rivat, J.; Tenenbaum, G.; Zimmermann, P.
3
2003
Addendum to the paper of E. Manstavičius and M. N. Timofeev “A functional limit theorem related to natural divisors”. Zbl 0926.60032
Tenenbaum, G.
3
1997
L’ensemble exceptionnel dans la conjecture de Szpiro. (Exceptional set in Szpiro’s conjecture). Zbl 0770.11030
Fouvry, E.; Nair, M.; Tenenbaum, G.
3
1992
The average orders of Hooley’s \(\Delta _ r\)-functions. Zbl 0552.10027
Hall, R. R.; Tenenbaum, G.
3
1984
Sur la proximite des diviseurs. Zbl 0463.10029
Hall, R. R.; Tenenbaum, G.
3
1981
Sur le procédé de sommation de Borel et la répartition du nombre des facteurs premiers des entiers. Zbl 0464.10035
Tenenbaum, Gerald
3
1980
Gál-type sums and applications. Zbl 07094285
de la Bretèche, Régis; Tenenbaum, Gérald
2
2019
Power partitions and saddle-point method. Zbl 1416.05034
Tenenbaum, Gérald; Wu, Jie; Li, Ya-Li
2
2019
Multiplicative functions, exponential sums and the law of large numbers. Zbl 1338.11090
Tenenbaum, Gérald
2
2016
On the friable Turán-Kubilius inequality. Zbl 1346.11050
de la Bretèche, Régis; Tenenbaum, Gérald
2
2016
Pointwise differentiability of an integral associated with Bernoulli functions. Zbl 1378.26001
de la Bretèche, R.; Tenenbaum, G.
2
2015
A note on the sifted mean-values of certain arithmetic functions. Zbl 1397.11142
Lachand, A.; Tenenbaum, G.
2
2015
On the concentration of certain additive functions. Zbl 1279.11094
de la Bretèche, R.; Tenenbaum, G.
2
2012
An overlapping theorem with applications. Zbl 1165.60304
Cilleruelo, Javier; Tenenbaum, Gérald
2
2007
Remarks on the mean values of multiplicative functions. Zbl 1137.11064
Tenenbaum, Gérald
2
2007
On the mean quadratic deviation of the divisors of a normal integer. II. Zbl 1098.11048
Tenenbaum, Gérald
2
2005
Sur certaines équations fonctionnelles arithmétiques. (On certain arithmetical functional equations). Zbl 0968.11033
de la Bretèche, Régis; Tenenbaum, Gérald
2
2000
On the mean quadratic deviation of the divisors of a normal integer. Zbl 0983.11051
Raouj, A.; Tenenbaum, G.
2
1999
Gál-type sums and applications. Zbl 07094285
de la Bretèche, Régis; Tenenbaum, Gérald
2
2019
Power partitions and saddle-point method. Zbl 1416.05034
Tenenbaum, Gérald; Wu, Jie; Li, Ya-Li
2
2019
A remark on Sarnak’s conjecture. Zbl 1446.11176
de la Bretèche, Régis; Tenenbaum, Gérald
1
2019
A note on the local conjoint laws of the function number of prime factors. Zbl 1441.11246
Tenenbaum, Gérald
1
2018
Effective means for complex multiplicative functions. Zbl 1426.11113
Tenenbaum, Gérald
6
2017
Generalized Mertens sums. Zbl 1426.11098
Tenenbaum, Gérald
1
2017
A new approach to the theory of friable integers. Zbl 1380.11090
de la Bretèche, Régis; Tenenbaum, Gérald
1
2017
Multiplicative functions, exponential sums and the law of large numbers. Zbl 1338.11090
Tenenbaum, Gérald
2
2016
On the friable Turán-Kubilius inequality. Zbl 1346.11050
de la Bretèche, Régis; Tenenbaum, Gérald
2
2016
Introduction to analytic and probabilistic number theory. Transl. from the 3rd French edition by Patrick D. F. Ion. 3rd expanded ed. Zbl 1336.11001
Tenenbaum, Gérald
29
2015
On ultrafriable integers. Zbl 1391.11129
Tenenbaum, Gérald
3
2015
Pointwise differentiability of an integral associated with Bernoulli functions. Zbl 1378.26001
de la Bretèche, R.; Tenenbaum, G.
2
2015
A note on the sifted mean-values of certain arithmetic functions. Zbl 1397.11142
Lachand, A.; Tenenbaum, G.
2
2015
A refinement of the \(abc\) conjecture. Zbl 1357.11044
Robert, Olivier; Stewart, Cameron L.; Tenenbaum, Gérald
3
2014
On mean values of random multiplicative functions. Zbl 1294.11167
Lau, Yuk-Kam; Tenenbaum, Gérald; Wu, Jie
9
2013
Asymptotic behaviour of the kernel of an integer. Zbl 1295.11103
Robert, Olivier; Tenenbaum, Gérald
6
2013
On Manin’s conjecture for certain Châtelet surfaces. Zbl 1295.11029
de la Bretèche, Régis; Tenenbaum, Gérald
6
2013
Some of Erdős’ unconventional problems in number theory, thirty-four years later. Zbl 1321.11001
Tenenbaum, Gérald
3
2013
Mean values of arithmetic functions of binary forms. Zbl 1284.11126
de la Bretèche, Régis; Tenenbaum, Gérald
6
2012
Friable values of binary forms. Zbl 1268.11136
Balog, Antal; Blomer, Valentin; Dartyge, Cécile; Tenenbaum, Gérald
5
2012
Localized oscillations over the divisors. Zbl 1258.11086
de la Bretèche, R.; Tenenbaum, G.
4
2012
On the friable Turán-Kubilius inequality. Zbl 1348.11068
de la Bretèche, Régis; Tenenbaum, Gérald
3
2012
On the concentration of certain additive functions. Zbl 1279.11094
de la Bretèche, R.; Tenenbaum, G.
2
2012
On the null-controllability of diffusion equations. Zbl 1236.93025
Tenenbaum, Gérald; Tucsnak, Marius
15
2011
Quadratic measures of the proximity of divisors. Zbl 1218.11087
Raouj, A.; Stef, A.; Tenenbaum, G.
1
2011
On the friable Turán-Kubilius inequality. Zbl 1214.11109
Martin, B.; Tenenbaum, G.
4
2010
Friable Turan-Kubilius constants: a numerical study. Zbl 1276.11152
Hanrot, Guillaume; Martin, Bruno; Tenenbaum, Gérald
3
2010
A low complexity probabilistic test for integer multiplication. Zbl 1196.68104
Grigoriev, Dima; Tenenbaum, Gérald
1
2010
Fast and strongly localized observation for the Schrödinger equation. Zbl 1158.93013
Tenenbaum, G.; Tucsnak, M.
12
2009
Law of iterated logarithm with additive weights. Zbl 1187.60021
Tenenbaum, Gérald
1
2009
On the normal concentration of divisors. II. Zbl 1239.11105
Maier, Helmut; Tenenbaum, Gérald
1
2009
Averages of certain multiplicative functions over friable integers. II. Zbl 1195.11129
Hanrot, Guillaume; Tenenbaum, Gérald; Wu, Jie
7
2008
Divisors. Reprint of the 1988 hardback ed. Zbl 1156.11002
Hall, Richard R.; Tenenbaum, Gérald
5
2008
Averages of certain multiplicative functions over smooth integers. IV. Zbl 1182.11042
Tenenbaum, Gérald; Wu, Jie
1
2008
Averages of certain multiplicative functions over smooth integers. III. Zbl 1168.11043
Tenenbaum, Gérald; Wu, Jie
1
2008
Localized large sums of random variables. Zbl 1133.60322
Ford, Kevin; Tenenbaum, Gérald
1
2008
New blow-up rates for fast controls of Schrödinger and heat equations. Zbl 1127.93016
Tenenbaum, G.; Tucsnak, M.
28
2007
A sharp geometric condition for the boundary exponential stabilizability of a square plate by moment feedbacks only. Zbl 1237.93146
Ammari, K.; Tucsnak, M.; Tenenbaum, G.
5
2007
An overlapping theorem with applications. Zbl 1165.60304
Cilleruelo, Javier; Tenenbaum, Gérald
2
2007
Remarks on the mean values of multiplicative functions. Zbl 1137.11064
Tenenbaum, Gérald
2
2007
Friable exponential sums with rational arguments. Zbl 1230.11098
de la Bretèche, Régis; Tenenbaum, Gérald
1
2007
Congruences of sums of digits of polynomial values. Zbl 1153.11307
Dartyge, Cécile; Tenenbaum, Gérald
11
2006
On the local behavior of the distribution of Euler’s totient function. Zbl 1184.11044
Tenenbaum, Gérald; Toulmonde, Vincent
3
2006
Integers with a large friable component. Zbl 1170.11032
Tenenbaum, Gérald
1
2006
A spectral approach for the exact observability of infinite-dimensional systems with skew-adjoint generator. Zbl 1140.93395
Ramdani, K.; Takahashi, T.; Tenenbaum, G.; Tucsnak, M.
30
2005
Statistical properties of friable integers. Zbl 1152.11040
de la Bretèche, Régis; Tenenbaum, Gérald
22
2005
Sums of digits of multiples of integers. Zbl 1110.11025
Dartyge, Cécile; Tenenbaum, Gérald
20
2005
Friable integers: Turán-Kubilius inequality and applications. Zbl 1182.11045
de la Bretèche, R.; Tenenbaum, G.
11
2005
Erdős-Turán constants. Zbl 1145.11318
Rivat, J.; Tenenbaum, G.
9
2005
Products of ratios of consecutive integers. Zbl 1155.11343
de la Bretèche, Régis; Pomerance, Carl; Tenenbaum, Gérald
6
2005
On the mean quadratic deviation of the divisors of a normal integer. II. Zbl 1098.11048
Tenenbaum, Gérald
2
2005
Trigonometric series with arithmetical coefficients. Zbl 1171.11319
de la Bretèche, R.; Tenenbaum, G.
22
2004
Averages of certain multiplicative functions over smooth integers. Zbl 1195.11132
Tenenbaum, Gérald; Wu, Jie
17
2003
Density results on floating-point invertible numbers. Zbl 1064.68003
Hanrot, G.; Rivat, J.; Tenenbaum, G.; Zimmermann, P.
3
2003
Local distribution laws of the \(k\)th divisor of an integer. Zbl 1015.11047
de la Bretèche, Régis; Tenenbaum, Gérald
4
2002
Polynomial values free of large prime factors. Zbl 0980.11041
Dartyge, Cécile; Martin, Greg; Tenenbaum, Gérald
11
2001
Effective Laplace inversion. Zbl 1020.60008
Stef, André; Tenenbaum, Gérald
1
2001
The prime numbers and their distribution. Transl. from the French by Philip G. Spain. Zbl 0942.11001
Tenenbaum, Gérald; Mendès France, Michel
12
2000
A rate estimate in Billingsley’s theorem for the size distribution of large prime factors. Zbl 1004.11050
Tenenbaum, Gérald
5
2000
Sur certaines équations fonctionnelles arithmétiques. (On certain arithmetical functional equations). Zbl 0968.11033
de la Bretèche, Régis; Tenenbaum, Gérald
2
2000
Sieve of Eratosthenes and Kubilius model. Zbl 0936.11052
Tenenbaum, Gérald
10
1999
Inverse theorems and the number of sums and products. Zbl 0947.11008
Nathanson, Melvyn B.; Tenenbaum, Gérald
5
1999
On the mean quadratic deviation of the divisors of a normal integer. Zbl 0983.11051
Raouj, A.; Tenenbaum, G.
2
1999
Sets of multiples of finite sequences. Zbl 1012.11086
Erdős, P.; Tenenbaum, G.
1
1999
Short sums of certain arithmetic functions. Zbl 0917.11048
Nair, Mohan; Tenenbaum, Gérald
24
1998
On the distribution of values of Euler’s function. Zbl 0893.11037
Balazard, Michel; Tenenbaum, Gérald
5
1998
A concentration property with respect to the Euler function. Zbl 0963.11042
Marie-Jeanne, F.; Tenenbaum, G.
1
1998
Lexicographic integers. Zbl 0917.11049
Stef, André; Tenenbaum, Gérald
1
1998
On the nonderivability of periodic functions associated with certain summation formulas. Zbl 0869.11019
Tenenbaum, Gérald
12
1997
Addendum to the paper of E. Manstavičius and M. N. Timofeev “A functional limit theorem related to natural divisors”. Zbl 0926.60032
Tenenbaum, G.
3
1997
The prime numbers. Zbl 0867.11002
Tenenbaum, Gérald; Mendès France, Michel
1
1997
Statistical distribution of integers without large prime factors in arithmetic progressions. Zbl 0858.11049
Fouvry, E.; Tenenbaum, G.
18
1996
Answers to exercises in analytic and probabilistic number theory. With the collaboration of Jie Wu. Zbl 0873.11002
Tenenbaum, Gérald
4
1996
On block Behrend sequences. Zbl 0859.11055
Tenenbaum, G.
2
1996
Uniform distribution on divisors and Behrend sequences. Zbl 0862.11054
Tenenbaum, Gérald
2
1996
A note on Behrend sequences. Zbl 0872.11015
Ruzsa, I. Z.; Tenenbaum, G.
1
1996
Introduction to analytic and probabilistic number theory. 2ème éd. Zbl 0880.11001
Tenenbaum, Gérald
202
1995
Introduction to analytic and probabilistic number theory. Transl. from the 2nd French ed. by C.B.Thomas. Zbl 0831.11001
Tenenbaum, Gérald
121
1995
On a sieve problem and its applications. II: Corrigendum and study of the divisor graph. Zbl 0852.11048
Tenenbaum, Gérald
7
1995
On the densities of sets of multiples. Zbl 0814.11043
Erdős, Paul; Hall, R. R.; Tenenbaum, G.
2
1994
Phase transitions and divisors. Zbl 0859.11056
Mendès France, M.; Tenenbaum, G.
1
1994
On some Tauberian theorems related to the prime number theorem. Zbl 0804.11052
Hildebrand, A.; Tenenbaum, G.
1
1994
Integers without large prime factors. Zbl 0797.11070
Hildebrand, Adolf; Tenenbaum, Gérald
79
1993
On a class of differential-difference equations arising in number theory. Zbl 0797.11072
Hildebrand, Adolf; Tenenbaum, Gérald
13
1993
Sieving integers without large prime factors. Zbl 0795.11042
Tenenbaum, G.
9
1993
Systems of points, divisors and fractal structures. Zbl 0787.11040
Mendès France, Michel; Tenenbaum, Gérald
4
1993
A one-dimensional model with phase transition. Zbl 0781.58021
Mendès France, Michel; Tenenbaum, Gérald
2
1993
L’ensemble exceptionnel dans la conjecture de Szpiro. (Exceptional set in Szpiro’s conjecture). Zbl 0770.11030
Fouvry, E.; Nair, M.; Tenenbaum, G.
3
1992
On Behrend sequences. Zbl 0780.11041
Hall, R. R.; Tenenbaum, G.
2
1992
A theorem on Dirichlet series. Zbl 0765.30002
Delange, Hubert; Tenenbaum, Gérald
2
1992
Grandes déviations pour certaines fonctions arithmétiques. (Large deviations for certain arithmetic functions). Zbl 0745.11041
Balazard, M.; Nicolas, J.-L.; Pomerance, C.; Tenenbaum, G.
2
1992
Entiers sans grand facteur premier en progressions arithmetiques. (Integers free of large primefactors in arithmetic progressions). Zbl 0745.11042
Fouvry, E.; Tenenbaum, G.
30
1991
Effective mean value estimates for complex multiplicative functions. Zbl 0741.11039
Hall, R. R.; Tenenbaum, G.
8
1991
Une inégalité de Hilbert pour les diviseurs. (A Hilbert inequality for divisors). Zbl 0728.11045
Tenenbaum, G.
4
1991
Introduction to analytic and probabilistic number theory. Zbl 0788.11001
Tenenbaum, G.
131
1990
Sur une question d’Erdős et Schinzel. II. (On a question of Erdős and Schinzel. II). Zbl 0699.10063
Tenenbaum, G.
16
1990
On arithmetic functions involving consecutive divisors. Zbl 0718.11041
Balog, A.; Erdős, Paul; Tenenbaum, G.
4
1990
Sur une question d’Erdős et Schinzel. (On a question of Erdős and Schinzel). Zbl 0713.11069
Tenenbaum, Gérald
4
1990
Sur un problème d’Erdős et Alladi. (On a problem of Erdős and Alladi). Zbl 0721.11035
Tenenbaum, Gérald
1
1990
Diviseurs de Titchmarsh des entiers sans grand facteur premier. (Titchmarsh divisors of integers without large prime factors). Zbl 0708.11043
Fouvry, E.; Tenenbaum, G.
1
1990
...and 40 more Documents
all top 5

Cited by 920 Authors

71 Tenenbaum, Gérald
38 Shparlinski, Igor E.
32 Luca, Florian
22 de la Bretèche, Régis
22 Wu, Jie
16 Banks, William D.
14 Maier, Helmut
13 Granville, Andrew James
12 Hall, Richard R.
12 Pomerance, Carl Bernard
11 Ford, Kevin B.
11 Pollack, Paul
11 Sanna, Carlo
10 Tucsnak, Marius
10 Weingartner, Andreas J.
9 Harper, Adam J.
8 Balazard, Michel
8 Drappeau, Sary
8 Konyagin, Sergeĭ Vladimirovich
8 Lau, Yuk-Kam
8 Mendès France, Michel
8 Rassias, Michael Th.
8 Rivat, Joël
8 Soundararajan, Kannan
8 Zaharescu, Alexandru
7 Dartyge, Cécile
7 Hwang, Hsien-Kuei
7 Mauduit, Christian
7 Moree, Pieter
7 Saias, Eric
7 Stoll, Thomas
6 Bingham, Nicholas Hugh
6 Fouvry, Etienne
6 Friedlander, John Benjamin
6 Hildebrand, Adolf J.
6 Lissy, Pierre
6 Manstavičius, Eugenijus
6 Radziwiłł, Maksym
6 Sárközy, András
6 Tao, Terence
6 Vallée, Brigitte
6 Weber, Michel Jean Georges
5 Allouche, Jean-Paul Simon
5 Ammari, Kais
5 Browning, Timothy Daniel
5 De Koninck, Jean-Marie
5 Debruyne, Gregory
5 Ervedoza, Sylvain
5 Ghosal, Sanjoy Kr
5 Harman, Glyn
5 Liu, Jianya
5 Mačiulis, Algirdas
5 Martinez, Patrick
5 Matomäki, Kaisa Sofia
5 Micu, Sorin
5 Nicolas, Jean-Louis
5 Royer, Emmanuel
5 Thompson, Lola
5 Veselić, Ivan
5 Vindas, Jasson
5 Wang, Yingnan
4 Bareikis, Gintautas
4 Cannarsa, Piermarco
4 Chang, Mei-Chu
4 Drmota, Michael
4 Elsholtz, Christian
4 Erdős, Pál
4 Korolëv, Maksim Aleksandrovich
4 Laurent, Camille
4 Léautaud, Matthieu
4 Loughran, Daniel
4 Martin, Bruno
4 Raouj, Abdelaziz
4 Robbiano, Luc
4 Robert, Olivier
4 Shao, Xuancheng
4 Sofos, Efthymios
4 Stănică, Pantelimon
4 Takahashi, Takéo
4 Tautenhahn, Martin
4 Vancostenoble, Judith
4 Wang, Zhiwei
3 Akbary, Amir
3 Alkan, Emre
3 Bourgain, Jean
3 Brüdern, Jörg
3 Cîndea, Nicolae
3 Dekking, Frederik Michel
3 Elliott, Peter D. T. A.
3 Essouabri, Driss
3 Feng, Bin
3 Giuliano, Rita
3 Heyman, Randell
3 Hofer, Roswitha
3 Kahane, Jean-Pierre
3 Komornik, Vilmos
3 Lagarias, Jeffrey C.
3 Laurinčikas, Antanas
3 Le Rousseau, Jérôme H.
3 Lebowitz-Lockard, Noah
...and 820 more Authors
all top 5

Cited in 210 Serials

125 Journal of Number Theory
30 Proceedings of the American Mathematical Society
30 The Ramanujan Journal
29 Journal de Théorie des Nombres de Bordeaux
29 International Journal of Number Theory
20 Journal of Mathematical Analysis and Applications
18 Annales de l’Institut Fourier
17 Mathematical Proceedings of the Cambridge Philosophical Society
17 Indagationes Mathematicae. New Series
15 Monatshefte für Mathematik
14 Theoretical Computer Science
13 Mathematics of Computation
13 Functiones et Approximatio. Commentarii Mathematici
13 Transactions of the American Mathematical Society
12 Lithuanian Mathematical Journal
12 Acta Arithmetica
12 Advances in Mathematics
12 Acta Mathematica Hungarica
11 Mathematische Zeitschrift
10 Duke Mathematical Journal
10 Mathematika
9 Compositio Mathematica
9 Journal of Differential Equations
8 Discrete Mathematics
8 Rocky Mountain Journal of Mathematics
8 Archiv der Mathematik
8 Journal of Functional Analysis
7 Israel Journal of Mathematics
7 Periodica Mathematica Hungarica
7 Inventiones Mathematicae
7 Manuscripta Mathematica
7 Michigan Mathematical Journal
7 Journal of the Australian Mathematical Society
6 Bulletin de la Société Mathématique de France
6 Mathematische Annalen
6 SIAM Journal on Control and Optimization
6 Journal of the American Mathematical Society
6 Forum Mathematicum
6 Journal of the European Mathematical Society (JEMS)
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Proceedings of the Steklov Institute of Mathematics
5 Journal of Combinatorial Theory. Series A
5 Proceedings of the Edinburgh Mathematical Society. Series II
5 Statistics & Probability Letters
5 Journal of Theoretical Probability
5 MCSS. Mathematics of Control, Signals, and Systems
5 Bulletin of the American Mathematical Society. New Series
5 Experimental Mathematics
5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
5 Annals of Mathematics. Second Series
5 Frontiers of Mathematics in China
4 Information Processing Letters
4 Journal d’Analyse Mathématique
4 The Mathematical Intelligencer
4 Acta Mathematica
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Journal für die Reine und Angewandte Mathematik
4 Advances in Applied Mathematics
4 Geometric and Functional Analysis. GAFA
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 Finite Fields and their Applications
4 Journal of Integer Sequences
4 Integers
4 Algebra & Number Theory
4 Science China. Mathematics
4 Mathematical Control and Related Fields
4 Evolution Equations and Control Theory
3 American Mathematical Monthly
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 Bulletin of the London Mathematical Society
3 Systems & Control Letters
3 Algorithmica
3 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
3 The Annals of Applied Probability
3 Aequationes Mathematicae
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Linear Algebra and its Applications
2 Advances in Applied Probability
2 Bulletin of the Australian Mathematical Society
2 Computers & Mathematics with Applications
2 Journal of Statistical Physics
2 Mathematical Notes
2 Physics Reports
2 The Annals of Probability
2 Journal of Algebra
2 Journal of Computational and Applied Mathematics
2 Numerische Mathematik
2 Pacific Journal of Mathematics
2 Proceedings of the Japan Academy. Series A
2 Proceedings of the London Mathematical Society. Third Series
2 Topology and its Applications
2 European Journal of Combinatorics
2 Acta Applicandae Mathematicae
2 Journal of Symbolic Computation
2 Probability Theory and Related Fields
2 Journal of Complexity
2 Applied Mathematics Letters
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Bulletin des Sciences Mathématiques
...and 110 more Serials
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Cited in 50 Fields

732 Number theory (11-XX)
75 Probability theory and stochastic processes (60-XX)
70 Systems theory; control (93-XX)
66 Partial differential equations (35-XX)
45 Computer science (68-XX)
41 Combinatorics (05-XX)
38 Sequences, series, summability (40-XX)
33 Algebraic geometry (14-XX)
28 Dynamical systems and ergodic theory (37-XX)
27 Functions of a complex variable (30-XX)
19 Operator theory (47-XX)
18 Measure and integration (28-XX)
16 Numerical analysis (65-XX)
14 Functional analysis (46-XX)
14 Information and communication theory, circuits (94-XX)
13 Real functions (26-XX)
13 Harmonic analysis on Euclidean spaces (42-XX)
12 Group theory and generalizations (20-XX)
9 Special functions (33-XX)
8 Field theory and polynomials (12-XX)
8 Approximations and expansions (41-XX)
8 Statistics (62-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 History and biography (01-XX)
7 Mechanics of deformable solids (74-XX)
6 Ordinary differential equations (34-XX)
6 Convex and discrete geometry (52-XX)
6 Differential geometry (53-XX)
6 Global analysis, analysis on manifolds (58-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Integral transforms, operational calculus (44-XX)
5 Quantum theory (81-XX)
4 Difference and functional equations (39-XX)
4 Geometry (51-XX)
4 General topology (54-XX)
2 General and overarching topics; collections (00-XX)
2 Mathematical logic and foundations (03-XX)
2 Commutative algebra (13-XX)
2 Topological groups, Lie groups (22-XX)
2 Mechanics of particles and systems (70-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Biology and other natural sciences (92-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral equations (45-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Manifolds and cell complexes (57-XX)
1 Fluid mechanics (76-XX)
1 Relativity and gravitational theory (83-XX)
1 Mathematics education (97-XX)

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