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Gérald Tenenbaum

Gérald Tenenbaum

D-Index & Metrics

Mathematics

D-Index
31
Citations
7007
World Ranking
3274
National Ranking
197

Overview

Gérald Tenenbaum is affiliated with the University of Lorraine in France. Their research predominantly lies within the field of Mathematics, with extensive contributions to subfields including Algebra and Number Theory, Discrete Mathematics and Combinatorics, Applied Mathematics, Mathematical Physics, and Geometry and Topology. The breadth of their work demonstrates engagement across both pure and applied domains of mathematical sciences.

The scientist's research topics encompass a diverse range of advanced mathematical areas. These include:

  • Analytic Number Theory Research
  • Limits and Structures in Graph Theory
  • Advanced Mathematical Identities
  • Functional Equations Stability Results
  • Coding Theory and Cryptography
  • Algebraic Geometry and Number Theory
  • Mathematical Dynamics and Fractals

Gérald Tenenbaum has published a significant number of papers, frequently appearing in venues such as arXiv (Cornell University), Acta Arithmetica, Journal de Théorie des Nombres de Bordeaux, Mathematika, and The Quarterly Journal of Mathematics. The selection of recent papers includes:

  • Correction to: Moyennes effectives de fonctions multiplicatives complexes, 2020, The Ramanujan Journal
  • Normal largest gap between prime factors, 2020, Journal de Théorie des Nombres de Bordeaux

Among frequent collaborators, Régis de la Bretèche stands out, having coauthored twenty publications with Gérald Tenenbaum. Other repeated coauthors include Johann Verwee, Marc Munsch, François Dress, and Andreas Weingartner.

The research contributions address complex problems related to number theory and its various intersections. The work on multiplicative functions, prime factor gaps, and probabilistic models relevant to number theory reflects the scientist's sustained activity in both theoretical insights and methodological advances.

Best Publications

  • Introduction to Analytic and Probabilistic Number Theory

    Gérald Tenenbaum

  • On the normal concentration of divisors, 2

    Helmut Maier;Gérald Tenenbaum

  • Introduction à la théorie analytique et probabiliste des nombres

    Gérald Tenenbaum

  • Integers without large prime factors

    Adolf Hildebrand;Gerald Tenenbaum

  • On integers free of large prime factors

    Adolf Hildebrand;Gérald Tenenbaum

  • Sur Les Densités de Certaines Suites D'Entiers

    P. Erdös;G. Tenenbaum

  • The prime numbers and their distribution

    Gérald Tenenbaum

  • ENTIERS SANS GRAND FACTEUR PREMIER EN PROGRESSIONS ARITHMETIQUES

    E. Fouvry;G. Tenenbaum

  • A spectral approach for the exact observability of infinite dimensional systems with skew-adjoint generator.

    Karim Ramdani;Takeo Takahashi;Gérald Tenenbaum;Marius Tucsnak

  • New blow-up rates for fast controls of Schrödinger and heat equations

    Gerald Tenenbaum;Marius Tucsnak

  • Divisors

    Unknown

  • Short sums of certain arithmetic functions

    Mohan Nair;Gérald Tenenbaum

  • Sur la probabilité qu'un entier possède un diviseur dans un intervalle donné

    G. Tenenbaum

  • On the null-controllability of diffusion equations

    Gérald Tenenbaum;Marius Tucsnak

  • Dimension des courbes planes, papiers plies et suites de Rudin-Shapiro

    G. Tenenbaum

  • On the set of divisors of an integer

    H. Maier;G. Tenenbaum

  • On the number of prime factors of an integer

    Adolf Hildebrand;Gérald Tenenbaum

  • Sur un problème de crible et ses applications

    Gérald Tenenbaum

  • Répartition Statistique Des Entiers Sans Grand Facteur Premier Dans Les Progressions Arithmétiques

    E. Fouvry;G. Tenenbaum

  • Lois de répartition des diviseurs, 1

    Jean-Marc Deshouillers;François Dress;Gérald Tenenbaum

  • Propriétés statistiques des entiers friables

    Régis De La Bretèche;Gérald Tenenbaum

Frequent Co-Authors

Marius Tucsnak
Marius Tucsnak University of Bordeaux
Paul Erdös
Paul Erdös Hungarian Academy of Sciences
Carl Pomerance
Carl Pomerance Dartmouth College
Hugh L. Montgomery
Hugh L. Montgomery University of Michigan–Ann Arbor
Vilmos Komornik
Vilmos Komornik University of Strasbourg
N. H. Bingham
N. H. Bingham Imperial College London

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