2026 Bruce C. Berndt: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	47	1237	1057	550	434	403	16235

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

1237

1057

550

434

403

16235

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

3022
Citations
Ramanujan's Notebooks

Bruce C. Berndt

1948
Citations
Gauss and Jacobi sums

Bruce C Berndt;Kenneth S Williams;Ronald J Evans

1193
Citations
Ramanujan's Lost Notebook: Part II

George E. Andrews;Bruce C. Berndt

784
Citations
Ramanujan's Lost Notebook

Bruce C. Berndt;Byungchan Kim;Ae Ja Yee

777
Citations
Number theory in the spirit of Ramanujan

Bruce C. Berndt

563
Citations
The determination of Gauss sums

Bruce C. Berndt;Ronald J. Evans

267
Citations
Ramanujan’s Theories of Elliptic Functions to Alternative Bases

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

242
Citations
On the Hurwitz zeta-function

Bruce C. Berndt

184
Citations
Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan

Bruce C. Berndt

177
Citations
Ramanujan: Letters and Commentary

Bruce C. Berndt;Robert A. Rankin

156
Citations
Modular transformations and generalizations of several formulae of Ramanujan

Bruce C. Berndt

146
Citations
Gauss, Landen, Ramanujan, the arithmetic-geometric mean, ellipses, p, and the Ladies Diary

Gert Almkvist;Bruce Berndt

142
Citations
Ramanujan's Series for 1/π: A Survey ∗

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

142
Citations
Ramanujan’s Unpublished Manuscript on the Partition and Tau Functions with Proofs and Commentary

Bruce C. Berndt;Ken Ono

140
Citations
Chapter 16 of Ramanujan's Second Notebook Theta Functions and Q-Series

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

139
Citations
Explicit evaluations and reciprocity theorems for finite trigonometric sums

Bruce C. Berndt;Boon Pin Yeap

126
Citations
The Number of Zeros for ζ(k)(s)

Bruce C. Berndt

119
Citations
Sums of gauss, jacobi, and jacobsthal☆

Bruce C Berndt;Ronald J Evans

109
Citations
Identities involving the coefficients of a class of Dirichlet series. VII

Bruce Carl Berndt;Bruce Carl Berndt

109
Citations
-Series with Applications to Combinatorics, Number Theory, and Physics

Bruce C. Berndt;Ken Ono

21
Citations

Frequent Co-Authors

George E. Andrews Pennsylvania State University

Ken Ono University of Virginia

James Lee Hafner IBM (United States)

Fritz Gesztesy Baylor University

Hugh L. Montgomery University of Michigan–Ann Arbor

David R. Brillinger University of California, Berkeley

External Links

Wikipedia of Bruce C. Berndt Personal website of Bruce C. Berndt

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