Edit Profile Tenenbaum, Gérald Compute Distance To: Compute Author ID: tenenbaum.gerald 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 Co-Authors 60 single-authored 24 de la Bretèche, Régis 14 Hall, Richard R. 7 Erdős, Pál 7 Mendès France, Michel 6 Wu, Jie 5 Fouvry, Etienne 5 Hildebrand, Adolf J. 5 Tucsnak, Marius 4 Dartyge, Cécile 3 Dress, François 3 Hanrot, Guillaume 3 Maier, Helmut 3 Stef, André 2 Alladi, Krishnaswami 2 Balazard, Michel 2 Balog, Antal 2 Deshouillers, Jean-Marc 2 Ford, Kevin B. 2 Martin, Bruno 2 Montgomery, Hugh Lowell 2 Nair, Mohan 2 Nathanson, Melvyn Bernard 2 Pomerance, Carl Bernard 2 Raouj, Abdelaziz 2 Rivat, Joël 2 Robert, Olivier 1 Allouche, Jean-Paul Simon 1 Alon, Noga M. 1 Ammari, Kais 1 Bingham, Nicholas Hugh 1 Blomer, Valentin 1 Cilleruelo, Javier 1 de Konick, J.-M. 1 de Roton, Anne 1 Debruyne, Gregory 1 Delange, Hubert 1 Drappeau, Sary 1 Dupain, Yves 1 Elliott, Peter D. T. A. 1 Garcia, Stephan Ramon 1 Goldston, Daniel Alan 1 Granville, Andrew James 1 Grigor’ev, Dmitriĭ Yur’evich 1 Ivić, Aleksandar P. 1 Iwaniec, Henryk 1 Kahane, Jean-Pierre 1 Kerner, S. 1 Komornik, Vilmos 1 Krantz, Steven George 1 Lachand, Armand 1 Lamzouri, Youness 1 Lau, Yuk-Kam 1 Li, Yali 1 Marie-Jeanne, F. 1 Martin, Greg 1 Meyer, Jacques 1 Nicolas, Jean-Louis 1 Ramdani, Karim 1 Ruzsa, Imre Z. 1 Saffari, Bahman 1 Sárközy, András 1 Shapiro, Harold Seymour 1 Shoemaker, Amy L. 1 Stewart, Cameron L. 1 Stoll, Thomas 1 Szabados, Jozsef 1 Takahashi, Takéo 1 Toulmonde, Vincent 1 Yokota, Hisashi 1 Zimmermann, Paul 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 all top 5 Fields 168 Number theory (11-XX) 7 Probability theory and stochastic processes (60-XX) 6 Combinatorics (05-XX) 6 Systems theory; control (93-XX) 5 Sequences, series, summability (40-XX) 4 Partial differential equations (35-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Measure and integration (28-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Algebraic geometry (14-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications 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 0880.11001Tenenbaum, Gérald 202 1995 Introduction to analytic and probabilistic number theory. Zbl 0788.11001Tenenbaum, G. 131 1990 Introduction to analytic and probabilistic number theory. Transl. from the 2nd French ed. by C.B.Thomas. Zbl 0831.11001Tenenbaum, Gérald 121 1995 Integers without large prime factors. Zbl 0797.11070Hildebrand, Adolf; Tenenbaum, Gérald 79 1993 On integers free of large prime factors. Zbl 0601.10028Hildebrand, Adolf; Tenenbaum, Gérald 43 1986 Divisors. Zbl 0653.10001Hall, Richard R.; Tenenbaum, Gérald 36 1988 A spectral approach for the exact observability of infinite-dimensional systems with skew-adjoint generator. Zbl 1140.93395Ramdani, 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 0745.11042Fouvry, E.; Tenenbaum, G. 30 1991 On densities of certain sequences of integers. Zbl 0694.10040Erdős, 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 1336.11001Tenenbaum, Gérald 29 2015 New blow-up rates for fast controls of Schrödinger and heat equations. Zbl 1127.93016Tenenbaum, G.; Tucsnak, M. 28 2007 Short sums of certain arithmetic functions. Zbl 0917.11048Nair, Mohan; Tenenbaum, Gérald 24 1998 Dimension des courbes planes, papiers plies et suites de Rudin-Shapiro. Zbl 0468.10033Mendès France, Michel; Tenenbaum, G. 24 1981 Statistical properties of friable integers. Zbl 1152.11040de la Bretèche, Régis; Tenenbaum, Gérald 22 2005 Trigonometric series with arithmetical coefficients. Zbl 1171.11319de la Bretèche, R.; Tenenbaum, G. 22 2004 Sums of digits of multiples of integers. Zbl 1110.11025Dartyge, Cécile; Tenenbaum, Gérald 20 2005 On the number of prime factors of an integer. Zbl 0655.10036Hildebrand, Adolf; Tenenbaum, Gérald 19 1988 On the set of divisors of an integer. Zbl 0536.10039Maier, H.; Tenenbaum, G. 19 1984 Statistical distribution of integers without large prime factors in arithmetic progressions. Zbl 0858.11049Fouvry, E.; Tenenbaum, G. 18 1996 Averages of certain multiplicative functions over smooth integers. Zbl 1195.11132Tenenbaum, Gérald; Wu, Jie 17 2003 Sur la probabilité qu’un entier possède un diviseur dans un intervalle donné. Zbl 0541.10038Tenenbaum, G. 17 1984 Sur une question d’Erdős et Schinzel. II. (On a question of Erdős and Schinzel. II). Zbl 0699.10063Tenenbaum, G. 16 1990 Sur un problème de crible et ses applications. (On a sieve method and its applications). Zbl 0599.10037Tenenbaum, Gérald 16 1986 On the null-controllability of diffusion equations. Zbl 1236.93025Tenenbaum, Gérald; Tucsnak, Marius 15 2011 Lois de répartition des diviseurs 1. Zbl 0408.10035Deshouillers, Jean-Marc; Dress, Francois; Tenenbaum, Gerald 15 1979 Riesz and Valiron means and fractional moments. Zbl 0585.40006Bingham, N. H.; Tenenbaum, G. 14 1986 On a class of differential-difference equations arising in number theory. Zbl 0797.11072Hildebrand, Adolf; Tenenbaum, Gérald 13 1993 Fast and strongly localized observation for the Schrödinger equation. Zbl 1158.93013Tenenbaum, G.; Tucsnak, M. 12 2009 The prime numbers and their distribution. Transl. from the French by Philip G. Spain. Zbl 0942.11001Tenenbaum, Gérald; Mendès France, Michel 12 2000 On the nonderivability of periodic functions associated with certain summation formulas. Zbl 0869.11019Tenenbaum, Gérald 12 1997 Local densities over integers free of large prime factors. Zbl 0604.10024Ivić, Aleksandar; Tenenbaum, Gérald 12 1986 Congruences of sums of digits of polynomial values. Zbl 1153.11307Dartyge, Cécile; Tenenbaum, Gérald 11 2006 Friable integers: Turán-Kubilius inequality and applications. Zbl 1182.11045de la Bretèche, R.; Tenenbaum, G. 11 2005 Polynomial values free of large prime factors. Zbl 0980.11041Dartyge, Cécile; Martin, Greg; Tenenbaum, Gérald 11 2001 Sieve of Eratosthenes and Kubilius model. Zbl 0936.11052Tenenbaum, Gérald 10 1999 Sur la concentration moyenne des diviseurs. (On the mean concentration of divisors). Zbl 0581.10020Tenenbaum, Gérald 10 1985 On mean values of random multiplicative functions. Zbl 1294.11167Lau, Yuk-Kam; Tenenbaum, Gérald; Wu, Jie 9 2013 Erdős-Turán constants. Zbl 1145.11318Rivat, J.; Tenenbaum, G. 9 2005 Sieving integers without large prime factors. Zbl 0795.11042Tenenbaum, G. 9 1993 Effective mean value estimates for complex multiplicative functions. Zbl 0741.11039Hall, R. R.; Tenenbaum, G. 8 1991 Facteurs premiers de sommes d’entiers. (Prime factors of sums of integers). Zbl 0678.10030Tenenbaum, Gérald 8 1989 On the normal concentration of divisors. Zbl 0576.10034Maier, 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 0437.10020Erdős, Paul; Tenenbaum, G. 8 1981 Lois de répartition des diviseurs. 2. Zbl 0437.10028Tenenbaum, Gerald 8 1980 Averages of certain multiplicative functions over friable integers. II. Zbl 1195.11129Hanrot, Guillaume; Tenenbaum, Gérald; Wu, Jie 7 2008 On a sieve problem and its applications. II: Corrigendum and study of the divisor graph. Zbl 0852.11048Tenenbaum, Gérald 7 1995 On arithmetic functions related to consecutive divisors. Zbl 0676.10030Erdős, Paul; Tenenbaum, G. 7 1989 On consecutive Farey arcs. Zbl 0553.10011Hall, R. R.; Tenenbaum, G. 7 1984 Sur l’équirepartition modulo 1 de certaines fonctions de diviseurs. Zbl 0504.10029Dupain, Y.; Hall, R. R.; Tenenbaum, G. 7 1982 Lois de répartition des diviseurs. 5. Zbl 0422.10050Tenenbaum, Gerald 7 1979 Effective means for complex multiplicative functions. Zbl 1426.11113Tenenbaum, Gérald 6 2017 Asymptotic behaviour of the kernel of an integer. Zbl 1295.11103Robert, Olivier; Tenenbaum, Gérald 6 2013 On Manin’s conjecture for certain Châtelet surfaces. Zbl 1295.11029de la Bretèche, Régis; Tenenbaum, Gérald 6 2013 Mean values of arithmetic functions of binary forms. Zbl 1284.11126de la Bretèche, Régis; Tenenbaum, Gérald 6 2012 Products of ratios of consecutive integers. Zbl 1155.11343de 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 0664.10024Tenenbaum, Gérald 6 1988 Sur les diviseurs consecutifs d’un entier. (On consecutive divisors of an integer). Zbl 0526.10036Erdős, Paul; Tenenbaum, G. 6 1983 Friable values of binary forms. Zbl 1268.11136Balog, Antal; Blomer, Valentin; Dartyge, Cécile; Tenenbaum, Gérald 5 2012 Divisors. Reprint of the 1988 hardback ed. Zbl 1156.11002Hall, Richard R.; Tenenbaum, Gérald 5 2008 A sharp geometric condition for the boundary exponential stabilizability of a square plate by moment feedbacks only. Zbl 1237.93146Ammari, K.; Tucsnak, M.; Tenenbaum, G. 5 2007 A rate estimate in Billingsley’s theorem for the size distribution of large prime factors. Zbl 1004.11050Tenenbaum, Gérald 5 2000 Inverse theorems and the number of sums and products. Zbl 0947.11008Nathanson, Melvyn B.; Tenenbaum, Gérald 5 1999 On the distribution of values of Euler’s function. Zbl 0893.11037Balazard, Michel; Tenenbaum, Gérald 5 1998 Un problème de probabilité conditionnelle en arithmétique. (A problem of conditional probability in arithmetic). Zbl 0636.10038Tenenbaum, Gérald 5 1987 Sur une somme liee à la fonction de Moebius. Zbl 0497.10003Dress, F.; Iwaniec, H.; Tenenbaum, G. 5 1983 Lois de répartition des diviseurs. 4. Zbl 0403.10029Tenenbaum, Gerald 5 1979 Localized oscillations over the divisors. Zbl 1258.11086de la Bretèche, R.; Tenenbaum, G. 4 2012 On the friable Turán-Kubilius inequality. Zbl 1214.11109Martin, B.; Tenenbaum, G. 4 2010 Local distribution laws of the \(k\)th divisor of an integer. Zbl 1015.11047de la Bretèche, Régis; Tenenbaum, Gérald 4 2002 Answers to exercises in analytic and probabilistic number theory. With the collaboration of Jie Wu. Zbl 0873.11002Tenenbaum, Gérald 4 1996 Systems of points, divisors and fractal structures. Zbl 0787.11040Mendès France, Michel; Tenenbaum, Gérald 4 1993 Une inégalité de Hilbert pour les diviseurs. (A Hilbert inequality for divisors). Zbl 0728.11045Tenenbaum, G. 4 1991 On arithmetic functions involving consecutive divisors. Zbl 0718.11041Balog, A.; Erdős, Paul; Tenenbaum, G. 4 1990 Sur une question d’Erdős et Schinzel. (On a question of Erdős and Schinzel). Zbl 0713.11069Tenenbaum, Gérald 4 1990 Sur un problème extrémal en arithmétique. (On an extremal problem in arithmetic). Zbl 0622.10030Tenenbaum, Gérald 4 1987 On the average and normal orders of Hooley’s Delta-function. Zbl 0489.10046Hall, R. R.; Tenenbaum, G. 4 1982 On ultrafriable integers. Zbl 1391.11129Tenenbaum, Gérald 3 2015 A refinement of the \(abc\) conjecture. Zbl 1357.11044Robert, Olivier; Stewart, Cameron L.; Tenenbaum, Gérald 3 2014 Some of Erdős’ unconventional problems in number theory, thirty-four years later. Zbl 1321.11001Tenenbaum, Gérald 3 2013 On the friable Turán-Kubilius inequality. Zbl 1348.11068de la Bretèche, Régis; Tenenbaum, Gérald 3 2012 Friable Turan-Kubilius constants: a numerical study. Zbl 1276.11152Hanrot, Guillaume; Martin, Bruno; Tenenbaum, Gérald 3 2010 On the local behavior of the distribution of Euler’s totient function. Zbl 1184.11044Tenenbaum, Gérald; Toulmonde, Vincent 3 2006 Density results on floating-point invertible numbers. Zbl 1064.68003Hanrot, 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 0926.60032Tenenbaum, G. 3 1997 L’ensemble exceptionnel dans la conjecture de Szpiro. (Exceptional set in Szpiro’s conjecture). Zbl 0770.11030Fouvry, E.; Nair, M.; Tenenbaum, G. 3 1992 The average orders of Hooley’s \(\Delta _ r\)-functions. Zbl 0552.10027Hall, R. R.; Tenenbaum, G. 3 1984 Sur la proximite des diviseurs. Zbl 0463.10029Hall, R. R.; Tenenbaum, G. 3 1981 Sur le procédé de sommation de Borel et la répartition du nombre des facteurs premiers des entiers. Zbl 0464.10035Tenenbaum, Gerald 3 1980 Gál-type sums and applications. Zbl 07094285de la Bretèche, Régis; Tenenbaum, Gérald 2 2019 Power partitions and saddle-point method. Zbl 1416.05034Tenenbaum, Gérald; Wu, Jie; Li, Ya-Li 2 2019 Multiplicative functions, exponential sums and the law of large numbers. Zbl 1338.11090Tenenbaum, Gérald 2 2016 On the friable Turán-Kubilius inequality. Zbl 1346.11050de la Bretèche, Régis; Tenenbaum, Gérald 2 2016 Pointwise differentiability of an integral associated with Bernoulli functions. Zbl 1378.26001de la Bretèche, R.; Tenenbaum, G. 2 2015 A note on the sifted mean-values of certain arithmetic functions. Zbl 1397.11142Lachand, A.; Tenenbaum, G. 2 2015 On the concentration of certain additive functions. Zbl 1279.11094de la Bretèche, R.; Tenenbaum, G. 2 2012 An overlapping theorem with applications. Zbl 1165.60304Cilleruelo, Javier; Tenenbaum, Gérald 2 2007 Remarks on the mean values of multiplicative functions. Zbl 1137.11064Tenenbaum, Gérald 2 2007 On the mean quadratic deviation of the divisors of a normal integer. II. Zbl 1098.11048Tenenbaum, Gérald 2 2005 Sur certaines équations fonctionnelles arithmétiques. (On certain arithmetical functional equations). Zbl 0968.11033de la Bretèche, Régis; Tenenbaum, Gérald 2 2000 On the mean quadratic deviation of the divisors of a normal integer. Zbl 0983.11051Raouj, A.; Tenenbaum, G. 2 1999 Gál-type sums and applications. Zbl 07094285de la Bretèche, Régis; Tenenbaum, Gérald 2 2019 Power partitions and saddle-point method. Zbl 1416.05034Tenenbaum, Gérald; Wu, Jie; Li, Ya-Li 2 2019 A remark on Sarnak’s conjecture. Zbl 1446.11176de la Bretèche, Régis; Tenenbaum, Gérald 1 2019 A note on the local conjoint laws of the function number of prime factors. Zbl 1441.11246Tenenbaum, Gérald 1 2018 Effective means for complex multiplicative functions. Zbl 1426.11113Tenenbaum, Gérald 6 2017 Generalized Mertens sums. Zbl 1426.11098Tenenbaum, Gérald 1 2017 A new approach to the theory of friable integers. Zbl 1380.11090de la Bretèche, Régis; Tenenbaum, Gérald 1 2017 Multiplicative functions, exponential sums and the law of large numbers. Zbl 1338.11090Tenenbaum, Gérald 2 2016 On the friable Turán-Kubilius inequality. Zbl 1346.11050de 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 1336.11001Tenenbaum, Gérald 29 2015 On ultrafriable integers. Zbl 1391.11129Tenenbaum, Gérald 3 2015 Pointwise differentiability of an integral associated with Bernoulli functions. Zbl 1378.26001de la Bretèche, R.; Tenenbaum, G. 2 2015 A note on the sifted mean-values of certain arithmetic functions. Zbl 1397.11142Lachand, A.; Tenenbaum, G. 2 2015 A refinement of the \(abc\) conjecture. Zbl 1357.11044Robert, Olivier; Stewart, Cameron L.; Tenenbaum, Gérald 3 2014 On mean values of random multiplicative functions. Zbl 1294.11167Lau, Yuk-Kam; Tenenbaum, Gérald; Wu, Jie 9 2013 Asymptotic behaviour of the kernel of an integer. Zbl 1295.11103Robert, Olivier; Tenenbaum, Gérald 6 2013 On Manin’s conjecture for certain Châtelet surfaces. Zbl 1295.11029de la Bretèche, Régis; Tenenbaum, Gérald 6 2013 Some of Erdős’ unconventional problems in number theory, thirty-four years later. Zbl 1321.11001Tenenbaum, Gérald 3 2013 Mean values of arithmetic functions of binary forms. Zbl 1284.11126de la Bretèche, Régis; Tenenbaum, Gérald 6 2012 Friable values of binary forms. Zbl 1268.11136Balog, Antal; Blomer, Valentin; Dartyge, Cécile; Tenenbaum, Gérald 5 2012 Localized oscillations over the divisors. Zbl 1258.11086de la Bretèche, R.; Tenenbaum, G. 4 2012 On the friable Turán-Kubilius inequality. Zbl 1348.11068de la Bretèche, Régis; Tenenbaum, Gérald 3 2012 On the concentration of certain additive functions. Zbl 1279.11094de la Bretèche, R.; Tenenbaum, G. 2 2012 On the null-controllability of diffusion equations. Zbl 1236.93025Tenenbaum, Gérald; Tucsnak, Marius 15 2011 Quadratic measures of the proximity of divisors. Zbl 1218.11087Raouj, A.; Stef, A.; Tenenbaum, G. 1 2011 On the friable Turán-Kubilius inequality. Zbl 1214.11109Martin, B.; Tenenbaum, G. 4 2010 Friable Turan-Kubilius constants: a numerical study. Zbl 1276.11152Hanrot, Guillaume; Martin, Bruno; Tenenbaum, Gérald 3 2010 A low complexity probabilistic test for integer multiplication. Zbl 1196.68104Grigoriev, Dima; Tenenbaum, Gérald 1 2010 Fast and strongly localized observation for the Schrödinger equation. Zbl 1158.93013Tenenbaum, G.; Tucsnak, M. 12 2009 Law of iterated logarithm with additive weights. Zbl 1187.60021Tenenbaum, Gérald 1 2009 On the normal concentration of divisors. II. Zbl 1239.11105Maier, Helmut; Tenenbaum, Gérald 1 2009 Averages of certain multiplicative functions over friable integers. II. Zbl 1195.11129Hanrot, Guillaume; Tenenbaum, Gérald; Wu, Jie 7 2008 Divisors. Reprint of the 1988 hardback ed. Zbl 1156.11002Hall, Richard R.; Tenenbaum, Gérald 5 2008 Averages of certain multiplicative functions over smooth integers. IV. Zbl 1182.11042Tenenbaum, Gérald; Wu, Jie 1 2008 Averages of certain multiplicative functions over smooth integers. III. Zbl 1168.11043Tenenbaum, Gérald; Wu, Jie 1 2008 Localized large sums of random variables. Zbl 1133.60322Ford, Kevin; Tenenbaum, Gérald 1 2008 New blow-up rates for fast controls of Schrödinger and heat equations. Zbl 1127.93016Tenenbaum, G.; Tucsnak, M. 28 2007 A sharp geometric condition for the boundary exponential stabilizability of a square plate by moment feedbacks only. Zbl 1237.93146Ammari, K.; Tucsnak, M.; Tenenbaum, G. 5 2007 An overlapping theorem with applications. Zbl 1165.60304Cilleruelo, Javier; Tenenbaum, Gérald 2 2007 Remarks on the mean values of multiplicative functions. Zbl 1137.11064Tenenbaum, Gérald 2 2007 Friable exponential sums with rational arguments. Zbl 1230.11098de la Bretèche, Régis; Tenenbaum, Gérald 1 2007 Congruences of sums of digits of polynomial values. Zbl 1153.11307Dartyge, Cécile; Tenenbaum, Gérald 11 2006 On the local behavior of the distribution of Euler’s totient function. Zbl 1184.11044Tenenbaum, Gérald; Toulmonde, Vincent 3 2006 Integers with a large friable component. Zbl 1170.11032Tenenbaum, Gérald 1 2006 A spectral approach for the exact observability of infinite-dimensional systems with skew-adjoint generator. Zbl 1140.93395Ramdani, K.; Takahashi, T.; Tenenbaum, G.; Tucsnak, M. 30 2005 Statistical properties of friable integers. Zbl 1152.11040de la Bretèche, Régis; Tenenbaum, Gérald 22 2005 Sums of digits of multiples of integers. Zbl 1110.11025Dartyge, Cécile; Tenenbaum, Gérald 20 2005 Friable integers: Turán-Kubilius inequality and applications. Zbl 1182.11045de la Bretèche, R.; Tenenbaum, G. 11 2005 Erdős-Turán constants. Zbl 1145.11318Rivat, J.; Tenenbaum, G. 9 2005 Products of ratios of consecutive integers. Zbl 1155.11343de la Bretèche, Régis; Pomerance, Carl; Tenenbaum, Gérald 6 2005 On the mean quadratic deviation of the divisors of a normal integer. II. Zbl 1098.11048Tenenbaum, Gérald 2 2005 Trigonometric series with arithmetical coefficients. Zbl 1171.11319de la Bretèche, R.; Tenenbaum, G. 22 2004 Averages of certain multiplicative functions over smooth integers. Zbl 1195.11132Tenenbaum, Gérald; Wu, Jie 17 2003 Density results on floating-point invertible numbers. Zbl 1064.68003Hanrot, G.; Rivat, J.; Tenenbaum, G.; Zimmermann, P. 3 2003 Local distribution laws of the \(k\)th divisor of an integer. Zbl 1015.11047de la Bretèche, Régis; Tenenbaum, Gérald 4 2002 Polynomial values free of large prime factors. Zbl 0980.11041Dartyge, Cécile; Martin, Greg; Tenenbaum, Gérald 11 2001 Effective Laplace inversion. Zbl 1020.60008Stef, André; Tenenbaum, Gérald 1 2001 The prime numbers and their distribution. Transl. from the French by Philip G. Spain. Zbl 0942.11001Tenenbaum, Gérald; Mendès France, Michel 12 2000 A rate estimate in Billingsley’s theorem for the size distribution of large prime factors. Zbl 1004.11050Tenenbaum, Gérald 5 2000 Sur certaines équations fonctionnelles arithmétiques. (On certain arithmetical functional equations). Zbl 0968.11033de la Bretèche, Régis; Tenenbaum, Gérald 2 2000 Sieve of Eratosthenes and Kubilius model. Zbl 0936.11052Tenenbaum, Gérald 10 1999 Inverse theorems and the number of sums and products. Zbl 0947.11008Nathanson, Melvyn B.; Tenenbaum, Gérald 5 1999 On the mean quadratic deviation of the divisors of a normal integer. Zbl 0983.11051Raouj, A.; Tenenbaum, G. 2 1999 Sets of multiples of finite sequences. Zbl 1012.11086Erdős, P.; Tenenbaum, G. 1 1999 Short sums of certain arithmetic functions. Zbl 0917.11048Nair, Mohan; Tenenbaum, Gérald 24 1998 On the distribution of values of Euler’s function. Zbl 0893.11037Balazard, Michel; Tenenbaum, Gérald 5 1998 A concentration property with respect to the Euler function. Zbl 0963.11042Marie-Jeanne, F.; Tenenbaum, G. 1 1998 Lexicographic integers. Zbl 0917.11049Stef, André; Tenenbaum, Gérald 1 1998 On the nonderivability of periodic functions associated with certain summation formulas. Zbl 0869.11019Tenenbaum, Gérald 12 1997 Addendum to the paper of E. Manstavičius and M. N. Timofeev “A functional limit theorem related to natural divisors”. Zbl 0926.60032Tenenbaum, G. 3 1997 The prime numbers. Zbl 0867.11002Tenenbaum, Gérald; Mendès France, Michel 1 1997 Statistical distribution of integers without large prime factors in arithmetic progressions. Zbl 0858.11049Fouvry, E.; Tenenbaum, G. 18 1996 Answers to exercises in analytic and probabilistic number theory. With the collaboration of Jie Wu. Zbl 0873.11002Tenenbaum, Gérald 4 1996 On block Behrend sequences. Zbl 0859.11055Tenenbaum, G. 2 1996 Uniform distribution on divisors and Behrend sequences. Zbl 0862.11054Tenenbaum, Gérald 2 1996 A note on Behrend sequences. Zbl 0872.11015Ruzsa, I. Z.; Tenenbaum, G. 1 1996 Introduction to analytic and probabilistic number theory. 2ème éd. Zbl 0880.11001Tenenbaum, Gérald 202 1995 Introduction to analytic and probabilistic number theory. Transl. from the 2nd French ed. by C.B.Thomas. Zbl 0831.11001Tenenbaum, Gérald 121 1995 On a sieve problem and its applications. II: Corrigendum and study of the divisor graph. Zbl 0852.11048Tenenbaum, Gérald 7 1995 On the densities of sets of multiples. Zbl 0814.11043Erdős, Paul; Hall, R. R.; Tenenbaum, G. 2 1994 Phase transitions and divisors. Zbl 0859.11056Mendès France, M.; Tenenbaum, G. 1 1994 On some Tauberian theorems related to the prime number theorem. Zbl 0804.11052Hildebrand, A.; Tenenbaum, G. 1 1994 Integers without large prime factors. Zbl 0797.11070Hildebrand, Adolf; Tenenbaum, Gérald 79 1993 On a class of differential-difference equations arising in number theory. Zbl 0797.11072Hildebrand, Adolf; Tenenbaum, Gérald 13 1993 Sieving integers without large prime factors. Zbl 0795.11042Tenenbaum, G. 9 1993 Systems of points, divisors and fractal structures. Zbl 0787.11040Mendès France, Michel; Tenenbaum, Gérald 4 1993 A one-dimensional model with phase transition. Zbl 0781.58021Mendès France, Michel; Tenenbaum, Gérald 2 1993 L’ensemble exceptionnel dans la conjecture de Szpiro. (Exceptional set in Szpiro’s conjecture). Zbl 0770.11030Fouvry, E.; Nair, M.; Tenenbaum, G. 3 1992 On Behrend sequences. Zbl 0780.11041Hall, R. R.; Tenenbaum, G. 2 1992 A theorem on Dirichlet series. Zbl 0765.30002Delange, Hubert; Tenenbaum, Gérald 2 1992 Grandes déviations pour certaines fonctions arithmétiques. (Large deviations for certain arithmetic functions). Zbl 0745.11041Balazard, 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 0745.11042Fouvry, E.; Tenenbaum, G. 30 1991 Effective mean value estimates for complex multiplicative functions. Zbl 0741.11039Hall, R. R.; Tenenbaum, G. 8 1991 Une inégalité de Hilbert pour les diviseurs. (A Hilbert inequality for divisors). Zbl 0728.11045Tenenbaum, G. 4 1991 Introduction to analytic and probabilistic number theory. Zbl 0788.11001Tenenbaum, G. 131 1990 Sur une question d’Erdős et Schinzel. II. (On a question of Erdős and Schinzel. II). Zbl 0699.10063Tenenbaum, G. 16 1990 On arithmetic functions involving consecutive divisors. Zbl 0718.11041Balog, A.; Erdős, Paul; Tenenbaum, G. 4 1990 Sur une question d’Erdős et Schinzel. (On a question of Erdős and Schinzel). Zbl 0713.11069Tenenbaum, Gérald 4 1990 Sur un problème d’Erdős et Alladi. (On a problem of Erdős and Alladi). Zbl 0721.11035Tenenbaum, Gérald 1 1990 Diviseurs de Titchmarsh des entiers sans grand facteur premier. (Titchmarsh divisors of integers without large prime factors). Zbl 0708.11043Fouvry, E.; Tenenbaum, G. 1 1990 ...and 40 more Documents all cited Publications top 5 cited Publications 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. 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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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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