Gérald Tenenbaum

4.8k total citations · 2 hit papers
129 papers, 2.2k citations indexed

About

Gérald Tenenbaum is a scholar working on Algebra and Number Theory, Mathematical Physics and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Gérald Tenenbaum has authored 129 papers receiving a total of 2.2k indexed citations (citations by other indexed papers that have themselves been cited), including 85 papers in Algebra and Number Theory, 38 papers in Mathematical Physics and 33 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Gérald Tenenbaum's work include Analytic Number Theory Research (78 papers), Limits and Structures in Graph Theory (30 papers) and Advanced Mathematical Identities (23 papers). Gérald Tenenbaum is often cited by papers focused on Analytic Number Theory Research (78 papers), Limits and Structures in Graph Theory (30 papers) and Advanced Mathematical Identities (23 papers). Gérald Tenenbaum collaborates with scholars based in France, United States and United Kingdom. Gérald Tenenbaum's co-authors include Helmut Maier, Adolf Hildebrand, Marius Tucsnak, Étienne Fouvry, Régis de la Bretèche, Paul Erdős, R. R. Hall, Michel Mendès France, Jie Wu and Jie Wu and has published in prestigious journals such as Communications in Mathematical Physics, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

Gérald Tenenbaum

117 papers receiving 2.0k citations

Hit Papers

On the normal concentration of divisors, 2 2009 2026 2014 2020 2009 2015 100 200 300 400
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. On the normal concentration of divisors, 2
    2009 460 citations Gérald Tenenbaum et al. Mathematical Proceedings of the Cambridge Philosophical Society profile →
  2. Introduction to Analytic and Probabilistic Number Theory
    2015 305 citations Gérald Tenenbaum profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Gérald Tenenbaum France 23 1.2k 624 617 539 382 129 2.2k
Steven Roman United States 18 651 0.5× 221 0.4× 332 0.5× 539 1.0× 445 1.2× 41 2.0k
A. M. Vershik Russia 28 413 0.3× 1.5k 2.5× 962 1.6× 601 1.1× 443 1.2× 172 2.7k
Adriano M. Garsia United States 31 970 0.8× 1.1k 1.8× 1.1k 1.8× 1.4k 2.6× 522 1.4× 98 2.7k
Jean Dieudonné United States 27 742 0.6× 986 1.6× 1.1k 1.8× 588 1.1× 397 1.0× 113 2.7k
Wolfgang M. Schmidt United States 28 766 0.6× 1.2k 1.9× 1.2k 1.9× 264 0.5× 476 1.2× 146 2.4k
Ivan Niven United States 18 502 0.4× 402 0.6× 593 1.0× 321 0.6× 261 0.7× 66 2.2k
Emil Artin United States 12 471 0.4× 459 0.7× 751 1.2× 421 0.8× 253 0.7× 25 1.6k
Louis Comtet France 5 1.2k 1.0× 301 0.5× 363 0.6× 1.1k 2.1× 648 1.7× 7 2.4k
Morris Newman United States 22 702 0.6× 361 0.6× 568 0.9× 525 1.0× 262 0.7× 169 1.9k
Igor R. Shafarevich Russia 18 454 0.4× 625 1.0× 1.2k 1.9× 206 0.4× 218 0.6× 61 1.9k

Countries citing papers authored by Gérald Tenenbaum

Since Specialization
Citations

This map shows the geographic impact of Gérald Tenenbaum's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Gérald Tenenbaum with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Gérald Tenenbaum more than expected).

Fields of papers citing papers by Gérald Tenenbaum

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Gérald Tenenbaum. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Gérald Tenenbaum. The network helps show where Gérald Tenenbaum may publish in the future.

Co-authorship network of co-authors of Gérald Tenenbaum

This figure shows the co-authorship network connecting the top 25 collaborators of Gérald Tenenbaum. A scholar is included among the top collaborators of Gérald Tenenbaum based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Gérald Tenenbaum. Gérald Tenenbaum is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Tenenbaum, Gérald, et al.. (2021). Effective Erdős–Wintner Theorems. Proceedings of the Steklov Institute of Mathematics. 314(1). 264–278.
2.
Bretèche, Régis de la, et al.. (2021). Small Gal sums and applications. arXiv (Cornell University). 4 indexed citations
3.
Bretèche, Régis de la & Gérald Tenenbaum. (2020). On strong and almost sure local limit theorems for a probabilistic model\n of the Dickman distribution. arXiv (Cornell University). 2 indexed citations
4.
Tenenbaum, Gérald. (2015). Fonctions multiplicatives, sommes d’exponentielles, et loi des grands nombres. Indagationes Mathematicae. 27(2). 590–600. 3 indexed citations
5.
Balog, Antal, et al.. (2012). Friable values of binary forms. Commentarii Mathematici Helvetici. 87(3). 639–667. 8 indexed citations
6.
Lau, Yuk-Kam, Gérald Tenenbaum, & Jie Wu. (2012). On mean values of random multiplicative functions. Proceedings of the American Mathematical Society. 141(2). 409–420. 18 indexed citations
7.
Tenenbaum, Gérald & Michel Mendès France. (2000). The Prime Numbers and Their Distribution. 32 indexed citations
8.
Tenenbaum, Gérald. (1997). Les nombres premiers. Presses Universitaires de France eBooks. 2 indexed citations
9.
Tenenbaum, Gérald & Jie Wu. (1996). Exercices corrigés de théorie analytique et probabiliste des nombres. 9 indexed citations
10.
Hildebrand, Adolf & Gérald Tenenbaum. (1994). On some tauberian theorems related to the prime number theorem. Compositio Mathematica. 90(3). 315–349. 4 indexed citations
11.
Tenenbaum, Gérald. (1993). Cribler les entiers sans grand facteur premier. Philosophical Transactions of the Royal Society of London Series A Physical and Engineering Sciences. 345(1676). 377–384. 12 indexed citations
12.
Pomerance, Carl, et al.. (1992). Grandes déviations pour certaines fonctions arithmétiques. Journal of Number Theory. 40(2). 146–164. 4 indexed citations
13.
Hall, R. R. & Gérald Tenenbaum. (1991). Effective mean value estimates for complex multiplicative functions. Mathematical Proceedings of the Cambridge Philosophical Society. 110(2). 337–351. 16 indexed citations
14.
Tenenbaum, Gérald. (1991). Une inégalitéde Hilbert pour les diviseurs. Indagationes Mathematicae. 2(1). 105–114. 5 indexed citations
15.
Tenenbaum, Gérald, et al.. (1990). Length and denominators of egyptian fractions, III. Journal of Number Theory. 35(2). 150–156.
16.
Erdős, Paul & Gérald Tenenbaum. (1989). Sur les fonctions arithmétiques liées aux diviseurs consécutifs. Journal of Number Theory. 31(3). 285–311. 8 indexed citations
17.
Hildebrand, Adolf & Gérald Tenenbaum. (1986). On integers free of large prime factors. Transactions of the American Mathematical Society. 296(1). 265–290. 73 indexed citations
18.
Hall, R. R. & Gérald Tenenbaum. (1986). The average orders of Hooley’s $\Delta _r$-functions, II. Compositio Mathematica. 60(2). 163–186. 5 indexed citations
19.
Tenenbaum, Gérald. (1984). Sur la probabilité qu'un entier possède un diviseur dans un intervalle donné. Compositio Mathematica. 51(2). 243–263. 31 indexed citations
20.
Tenenbaum, Gérald. (1982). Sur la densité divisorielle d'une suite d'entiers. Journal of Number Theory. 15(3). 331–346. 1 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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