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Mathematics

D-Index
46
Citations
10742
World Ranking
1338
National Ranking
601

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2004 - Fellow of the American Association for the Advancement of Science (AAAS)

Overview

Carl Pomerance is a researcher affiliated with Dartmouth College in the United States. Their work primarily spans the field of Mathematics, with a particular focus on Algebra and Number Theory. Other notable areas of study include Geometry and Topology, Discrete Mathematics and Combinatorics, Theoretical Computer Science, and Artificial Intelligence.

The scholar's research topics cover a variety of mathematical areas, including:

  • Analytic Number Theory Research
  • History and Theory of Mathematics
  • Limits and Structures in Graph Theory
  • Advanced Mathematical Identities
  • Mathematics and Applications
  • Algebraic Geometry and Number Theory
  • Mathematical Dynamics and Fractals

Frequent collaborators in their research include Samuel S. Wagstaff, Kevin Ford, Sergey Konyagin, Terence Tao, and Andreas Weingartner. These coauthors have contributed to multiple joint publications, indicating ongoing collaborative relationships within the mathematical community.

Pomerance's recent publications reflect a range of mathematical investigations. Noteworthy papers include:

  • Elliptic curves with Galois-stable cyclic subgroups of order 4, 2021, Research in Number Theory
  • An inequality related to the sieve of Eratosthenes, 2023, Journal of Number Theory
  • Corrigendum: Long gaps in sieved sets, 2023, Journal of the European Mathematical Society
  • Long gaps in sieved sets, 2020, Journal of the European Mathematical Society
  • Phi, primorials, and Poisson, 2020, Illinois Journal of Mathematics

Their frequent publication venues show consistent contributions to a variety of respected journals and platforms. Among these are:

  • arXiv (Cornell University)
  • Journal of the European Mathematical Society
  • Journal of Number Theory
  • Notices of the American Mathematical Society
  • Acta Arithmetica

Carl Pomerance has been recognized by peers, evidenced by their designation as a Fellow of the American Mathematical Society in 2013 and as a Fellow of the American Association for the Advancement of Science (AAAS) in 2004.

Best Publications

  • Prime Numbers: A Computational Perspective

    Richard E. Crandall;Carl Pomerance

  • There are infinitely many Carmichael numbers

    William Robert Alford;Andrew Granville;Carl Pomerance

  • On a problem of Oppenheim concerning “factorisatio numerorum”

    E.R Canfield;Paul Erdös;Carl Pomerance

  • On distinguishing prime numbers from composite numbers

    Leonard M. Adleman;Carl Pomerance;Robert S. Rumely

  • Advances in Cryptology — CRYPTO ’87

    Carl Pomerance

  • Factoring integers with the number field sieve

    J. P. Buhler;H. W. Lenstra;Carl Pomerance

  • The pseudoprimes to 25⋅10⁹

    Carl Pomerance;J. L. Selfridge;Samuel S. Wagstaff

  • The quadratic sieve factoring algorithm

    C Pomerance

  • The Riemann Zeta-Function and the One-Dimensional Weyl-Berry Conjecture for Fractal Drums

    Michel L. Lapidus;Carl Pomerance

  • A Tale of Two Sieves

    Carl Pomerance

  • A rigorous time bound for factoring integers

    H. W. Lenstra;Carl Pomerance

  • A search for Wieferich and Wilson primes

    Richard E. Crandall;Karl Dilcher;Carl Pomerance

  • Carmichael's lambda function

    Paul Erdős;Carl Pomerance;Eric Schmutz

  • Fast, Rigorous Factorization and Discrete Logarithm Algorithms

    Carl Pomerance

  • Average case error estimates for the strong probable prime test

    Ivan Damgård;Peter Landrock;Carl Pomerance

  • On the distribution of pseudoprimes

    Carl Pomerance

  • Recent developments in primality testing

    Carl Pomerance

  • A pipeline architecture for factoring large integers with the quadratic sieve algorithm

    Carl Pomerance;J. W. Smith;Randy Tuler

  • On the Normal Behavior of the Iterates Of some Arithmetic Functions

    Paul Erdös;Andew Granvilie;Carl Pomerance;Claudia Spiro

  • Reduction of huge, sparse matrices over finite fields via created catastrophes

    Carl Pomerance;Jeffrey W. Smith

Frequent Co-Authors

Igor E. Shparlinski
Igor E. Shparlinski University of New South Wales
Paul Erdös
Paul Erdös Hungarian Academy of Sciences
András Sárközy
András Sárközy Eötvös Loránd University
Juan A. Garay
Juan A. Garay Texas A&M University
Jeffrey C. Lagarias
Jeffrey C. Lagarias University of Michigan–Ann Arbor
John B. Friedlander
John B. Friedlander University of Toronto
Hendrik W. Lenstra
Hendrik W. Lenstra Leiden University
Andrew Granville
Andrew Granville University of Montreal
Jonathan M. Borwein
Jonathan M. Borwein University of Newcastle Australia
Jeffrey Shallit
Jeffrey Shallit University of Waterloo

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