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Mathematics

D-Index
68
Citations
26196
World Ranking
300
National Ranking
167

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2009 - SIAM Fellow For contributions to the theory of partitions and combinatorics.
  • 2003 - Member of the National Academy of Sciences
  • 1997 - Fellow of the American Academy of Arts and Sciences
  • 1982 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

George E. Andrews is affiliated with Pennsylvania State University in the United States. Their work primarily spans the field of Mathematics, with significant contributions in subfields such as Algebra and Number Theory, Discrete Mathematics and Combinatorics, Applied Mathematics, Mathematical Physics, and Geometry and Topology.

The research topics covered by Andrews include:

  • Advanced Mathematical Identities
  • Advanced Combinatorial Mathematics
  • Analytic Number Theory Research
  • Mathematical functions and polynomials
  • Algebraic structures and combinatorial models
  • Advanced Algebra and Geometry
  • Functional Equations Stability Results

Andrews has a substantial record of recent scholarly publications. Notable recent papers include:

  • "MacMahon's partition analysis XIII: Schmidt type partitions and modular forms" (2021), published in the Journal of Number Theory
  • "The Ramanujan-Dyson identities and George Beck's congruence conjectures" (2020), published in the International Journal of Number Theory
  • "On the Number of Even Parts in All Partitions of n into Distinct Parts" (2020), published in the Annals of Combinatorics
  • "Extensions of MacMahon's sums of divisors" (2024), published in Research in the Mathematical Sciences
  • "Sequences in overpartitions" (2023), published in The Ramanujan Journal

Their frequent co-authors include:

  • Mohamed El Bachraoui
  • Tewodros Amdeberhan
  • Shane Chern
  • Roberto Tauraso
  • Zhitai Li

Andrews regularly publishes in several venues, with notable numbers of publications in the following journals:

  • arXiv (Cornell University)
  • Journal of Combinatorial Theory Series A
  • The Ramanujan Journal
  • International Journal of Number Theory
  • Research in Number Theory

In addition to journal articles, Andrews has contributed to book publications, including the title Analytic and Combinatorial Number Theory: The Legacy of Ramanujan (2023), published by World Scientific.

Throughout their career, Andrews has received several professional recognitions including:

  • Fellow of the American Mathematical Society (2013)
  • SIAM Fellow (2009) for contributions to the theory of partitions and combinatorics
  • Member of the National Academy of Sciences (2003)
  • Fellow of the American Academy of Arts and Sciences (1997)
  • Fellow of John Simon Guggenheim Memorial Foundation (1982)

Best Publications

  • The theory of partitions

    George E. Andrews

  • The lost notebook and other unpublished papers

    Srinivasa Ramanujan Aiyangar;George E. Andrews

  • Number Theory

    Henri Cohen;Kalman Gyory;George Andrews

  • Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities

    George E. Andrews;R. J. Baxter;P. J. Forrester

  • Ramanujan's Lost Notebook: Part II

    George E. Andrews;Bruce C. Berndt

  • q-series : their development and application in analysis, number theory, combinatorics, physics, and computer algebra

    George E. Andrews

  • Dyson's crank of a partition

    George E. Andrews;F. G. Garvan;F. G. Garvan;F. G. Garvan

  • Classical orthogonal polynomials

    George E. Andrews;Richard Askey

  • Applications of Basic Hypergeometric Functions

    George E. Andrews

  • MULTIPLE SERIES ROGERS-RAMANUJAN TYPE IDENTITIES

    George E. Andrews

  • Problems and Prospects for Basic Hypergeometric Functions

    George E. Andrews

  • An Introduction to Ramanujan's “Lost” Notebook

    George E. Andrews

  • Ramanujan's lost notebook. VII, The sixth order mock theta functions

    George E Andrews;Dean Hickerson

  • An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli

    George E. Andrews

  • Generalized Frobenius partitions

    George E. Andrews

  • The fifth and seventh order mock theta functions

    George E. Andrews

  • The number of smallest parts in the partitions of n

    George E. Andrews

  • Partitions and indefinite quadratic forms.

    George E. Andrews;Freeman J. Dyson;Dean Hickerson

  • A LOWER BOUND FOR THE VOLUME OF STRICTLY CONVEX BODIES WITH MANY BOUNDARY LATTICE POINTS

    George E. Andrews

  • Plane partitions (III): The weak Macdonald conjecture

    George E. Andrews

  • ENUMERATIVE COMBINATORICS, VOLUME 2 (Cambridge Studies in Advanced Mathematics 62)

    George E. Andrews

Frequent Co-Authors

Bruce C. Berndt
Bruce C. Berndt University of Illinois at Urbana-Champaign
Richard Askey
Richard Askey University of Wisconsin–Madison
Ken Ono
Ken Ono University of Virginia
Doron Zeilberger
Doron Zeilberger Rutgers, The State University of New Jersey
Christian Krattenthaler
Christian Krattenthaler University of Vienna
Aviezri S. Fraenkel
Aviezri S. Fraenkel Weizmann Institute of Science
Li Guo
Li Guo Rutgers, The State University of New Jersey
Kathrin Bringmann
Kathrin Bringmann University of Cologne
Herbert S. Wilf
Herbert S. Wilf University of Pennsylvania
Helmut Prodinger
Helmut Prodinger Stellenbosch University

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