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Mathematics

D-Index
33
Citations
7234
World Ranking
2997
National Ranking
1208

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 1974 - Fellow of Alfred P. Sloan Foundation

Overview

Hugh L. Montgomery is affiliated with the University of Michigan-Ann Arbor in the United States. Their research spans multiple scientific disciplines, with a focus on Physics and Astronomy and Medicine.

The scientist has contributed to several main fields of study, including:

  • Physics and Astronomy
  • Medicine

Within these broad areas, their work further explores specialized subfields such as:

  • Statistical and Nonlinear Physics
  • Physiology
  • Atomic and Molecular Physics, and Optics

The primary topics of research for Montgomery include:

  • Advanced Thermodynamics and Statistical Mechanics
  • Biofield Effects and Biophysics
  • Advanced Mathematical Theories and Applications
  • Quantum Mechanics and Applications

Recent scholarly output by Montgomery includes the following papers:

  • Small gaps and small spacings between zeta zeros, 2023, Acta Arithmetica
  • Small gaps and small spacings between zeta zeros, 2022, arXiv (Cornell University)

Frequent collaborators in their research include:

  • Hung M. Bui
  • D. A. Goldston
  • Micah B. Milinovich

Montgomery's publications have appeared in venues such as:

  • Acta Arithmetica
  • arXiv (Cornell University)

The scientist has been recognized with notable honors including:

  • Fellow of the American Mathematical Society, 2013
  • Fellow of Alfred P. Sloan Foundation, 1974

Best Publications

  • Ten lectures on the interface between analytic number theory and harmonic analysis

    Hugh L. Montgomery

  • Topics in Multiplicative Number Theory

    Hugh L. Montgomery

  • Multiplicative Number Theory I: Classical Theory

    Hugh L. Montgomery;Robert C. Vaughan

  • The large sieve

    H. L. Montgomery;R. C. Vaughan

  • Hilbert’s inequality

    H. L. Montgomery;R. C. Vaughan

  • The analytic principle of the large sieve

    Hugh L. Montgomery

  • Exponential Sums with Multiplicative Coefficients.

    H. L. Montgomery;R. C. Vaughan

  • A bound for the least prime ideal in the Chebotarev Density Theorem

    J. C. Lagarias;H. L. Montgomery;Andrew Odlyzko

  • Minimal theta functions

    Hugh L. Montgomery

  • Extreme values of the Riemann zeta function

    Hugh L. Montgomery;Hugh L. Montgomery

  • Multiplicative Number Theory I: Contents

    Unknown

  • Pair Correlation of Zeros and Primes in Short Intervals

    Daniel A. Goldston;Hugh L. Montgomery

  • Zeros of the derivatives of the Riemann zeta-function

    Norman Levinson;Norman Levinson;H. L. Montgomery;H. L. Montgomery

  • Products of polynomials in many variables

    Bernard Beauzamy;Enrico Bombieri;Per Enflo;Hugh L Montgomery

  • Algebraic integers near the unit circle

    P. E. Blanksby;H. L. Montgomery

  • Primes in short intervals

    Hugh L. Montgomery;K. Soundararajan

  • Zeros of L-functions

    H. L. Montgomery

  • A Note on the Large Sieve

    H. L. Montgomery

  • Notes on small class numbers

    H. L. Montgomery;P. J. Weinberger

  • On the distribution of reduced residues

    Hugh L. Montgomery;Robert C. Vaughan

  • Note on a Diophantine inequality in several variables

    Jeffrey T. Barton;Hugh L. Montgomery;Jeffrey D. Vaaler

Frequent Co-Authors

Kannan Soundararajan
Kannan Soundararajan Stanford University
Andrew M. Odlyzko
Andrew M. Odlyzko University of Minnesota
Wolfgang P. Schleich
Wolfgang P. Schleich University of Ulm
Gérald Tenenbaum
Gérald Tenenbaum University of Lorraine
Paul Erdös
Paul Erdös Hungarian Academy of Sciences
Joel L. Lebowitz
Joel L. Lebowitz Rutgers, The State University of New Jersey
Jennifer Chayes
Jennifer Chayes University of California, Berkeley
Donald E. Knuth
Donald E. Knuth Stanford University

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