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D-Index & Metrics

Mathematics

D-Index
33
Citations
7234
World Ranking
2998
National Ranking
1208

Hugh L. Montgomery publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Hugh L. Montgomery sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 132 publications — 28th percentile

28% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Hugh L. Montgomery D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Hugh L. Montgomery sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 33 D-Index — 17th percentile

17% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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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