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D-Index & Metrics

Mathematics

D-Index
47
Citations
16235
World Ranking
1237
National Ranking
551

Bruce C. Berndt 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 Bruce C. Berndt 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: 403 publications — 94th percentile

94% of scientists in this discipline score the same or lower.

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

Bruce C. Berndt 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 Bruce C. Berndt 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: 47 D-Index — 66th percentile

66% 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
  • 1998 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1996 - Steele Prize for Mathematical Exposition

Overview

Bruce C. Berndt is affiliated with the University of Illinois at Urbana-Champaign in the United States. Their research primarily focuses on the field of Mathematics, with specific emphasis on Algebra and Number Theory, Applied Mathematics, and Discrete Mathematics and Combinatorics.

Their work covers a variety of advanced topics including:

  • Advanced Mathematical Identities
  • Analytic Number Theory Research
  • Mathematical functions and polynomials
  • Advanced Combinatorial Mathematics
  • Molecular spectroscopy and chirality
  • Advanced Mathematical Theories and Applications
  • Functional Equations Stability Results

Research outputs from Bruce C. Berndt have appeared in several publication venues, notably:

  • arXiv (Cornell University)
  • The Ramanujan Journal
  • Journal of Mathematical Analysis and Applications
  • Research in the Mathematical Sciences
  • Hardy-Ramanujan Journal

Examples of recent papers include:

  • "A class of identities associated with Dirichlet series satisfying Hecke's functional equation," 2022, Proceedings of the American Mathematical Society
  • "Finite trigonometric sums arising from Ramanujan's theta functions," 2023, The Ramanujan Journal
  • "Two general series identities involving modified Bessel functions and a class of arithmetical functions," 2022, Canadian Journal of Mathematics
  • "Partitions with multiplicities associated with divisor functions," 2023, Journal of Mathematical Analysis and Applications
  • "Evaluations and relations for finite trigonometric sums," 2024, Research in the Mathematical Sciences

Frequent collaborators include:

  • Alexandru Zaharescu
  • Atul Dixit
  • Sun Kim
  • Rajat Gupta
  • Örs Rebák

Bruce C. Berndt has contributed to book publications through Springer Nature, including the title "George E. Andrews 80 Years of Combinatory Analysis" published in 2021.

Recognition for Bruce C. Berndt's work includes several awards:

  • Fellow of the American Mathematical Society (2013)
  • Fellow of John Simon Guggenheim Memorial Foundation (1998)
  • Steele Prize for Mathematical Exposition (1996)

Best Publications

  • Ramanujan’s Notebooks: Part V

    Bruce C. Berndt

  • Ramanujan's Notebooks

    Bruce C. Berndt

  • Gauss and Jacobi sums

    Bruce C Berndt;Kenneth S Williams;Ronald J Evans

  • Ramanujan's Lost Notebook: Part II

    George E. Andrews;Bruce C. Berndt

  • Ramanujan's Lost Notebook

    Bruce C. Berndt;Byungchan Kim;Ae Ja Yee

  • Number theory in the spirit of Ramanujan

    Bruce C. Berndt

  • The determination of Gauss sums

    Bruce C. Berndt;Ronald J. Evans

  • Ramanujan’s Theories of Elliptic Functions to Alternative Bases

    Bruce C. Berndt;S. Bhargava;Frank G. Garvan

  • On the Hurwitz zeta-function

    Bruce C. Berndt

  • Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan

    Bruce C. Berndt

  • Ramanujan: Letters and Commentary

    Bruce C. Berndt;Robert A. Rankin

  • Modular transformations and generalizations of several formulae of Ramanujan

    Bruce C. Berndt

  • Gauss, Landen, Ramanujan, the arithmetic-geometric mean, ellipses, p, and the Ladies Diary

    Gert Almkvist;Bruce Berndt

  • Ramanujan's Series for 1/π: A Survey ∗

    Nayandeep Deka Baruah;Bruce C. Berndt;Heng Huat Chan

  • Ramanujan’s Unpublished Manuscript on the Partition and Tau Functions with Proofs and Commentary

    Bruce C. Berndt;Ken Ono

  • Chapter 16 of Ramanujan's Second Notebook Theta Functions and Q-Series

    C. Adiga;B. C. Berndt;S. Bhargava;G. N. Watson

  • Explicit evaluations and reciprocity theorems for finite trigonometric sums

    Bruce C. Berndt;Boon Pin Yeap

  • The Number of Zeros for ζ(k)(s)

    Bruce C. Berndt

  • Sums of gauss, jacobi, and jacobsthal☆

    Bruce C Berndt;Ronald J Evans

  • Identities involving the coefficients of a class of Dirichlet series. VII

    Bruce Carl Berndt;Bruce Carl Berndt

  • -Series with Applications to Combinatorics, Number Theory, and Physics

    Bruce C. Berndt;Ken Ono

Frequent Co-Authors

George E. Andrews
George E. Andrews Pennsylvania State University
Ken Ono
Ken Ono University of Virginia
James Lee Hafner
James Lee Hafner IBM (United States)
Fritz Gesztesy
Fritz Gesztesy Baylor University
Hugh L. Montgomery
Hugh L. Montgomery University of Michigan–Ann Arbor
David R. Brillinger
David R. Brillinger University of California, Berkeley

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