Skip to content

Home Search Authors Pakistan News Saved

SciRah

SciRah does not host or store research papers. Results come live from free, official scholarly APIs, and every paper links back to its original source.

Data sources

OpenAlex
Semantic Scholar
Crossref
CORE
arXiv
PubMed

Privacy policy Terms of service

B. Berndt · SciRah

Researcher profile · Semantic Scholar

B. Berndt

Share profile

B. Berndt — researcher profile on SciRah

h-index: 43
Works: 419
Citations: 13K

Most-cited papers

Gauss and Jacobi sums
B. Berndt, K. Williams, R. Evans
2021Mathematical Surveys and Monographs448 citations
Semantic Scholar
Ramanujan’s Formula for ζ(2n + 1)
B. Berndt, A. Straub
201764 citations Open access
Semantic Scholar
Integrals associated with Ramanujan and elliptic functions
B. Berndt
201643 citations
Semantic Scholar
Exact evaluations and reciprocity theorems for finite trigonometric sums
B. Berndt, Sun Kim, A. Zaharescu
2022Research in the Mathematical Sciences42 citations Open access
Semantic Scholar
New pathways and connections in Number Theory and Analysis motivated by two incorrect claims of Ramanujan
B. Berndt, Atul Dixit, Arindam Roy, A. Zaharescu
201640 citations Open access
Semantic Scholar
The Circle Problem of Gauss and the Divisor Problem of Dirichlet—Still Unsolved
B. Berndt, Sun Kim, A. Zaharescu
2018The American mathematical monthly37 citations Open access
Semantic Scholar
On a secant Dirichlet series and Eichler integrals of Eisenstein series
B. Berndt, A. Straub
201435 citations Open access
Semantic Scholar
Circle and divisor problems, and double series of Bessel functions
B. Berndt, Sun Kim, A. Zaharescu
201324 citations Open access
Semantic Scholar
Weighted divisor sums and Bessel function series, IV
B. Berndt, Sun Kim, A. Zaharescu
2012The Ramanujan journal23 citations Open access
Semantic Scholar
An Unpublished Manuscript of Ramanujan on Infinite Series Identities
G. Andrews, B. Berndt
201322 citations
Semantic Scholar
Sums of squares and products of Bessel functions
B. Berndt, Atul Dixit, Sun Kim, A. Zaharescu
2017Advances in Mathematics17 citations Open access
Semantic Scholar
FOUR IDENTITIES FOR THIRD ORDER MOCK THETA FUNCTIONS
G. Andrews, B. Berndt, Song-Heng Chan, Sun Kim +1 more
2018Nagoya mathematical journal15 citations
Semantic Scholar
Partitions into kth powers of terms in an arithmetic progression
B. Berndt, Amita Malik, A. Zaharescu
2018Mathematische Zeitschrift15 citations
Semantic Scholar
Identities for Partitions with Distinct Colors
B. Berndt, R. R. Zhou
201514 citations
Semantic Scholar
PROOFS OF CONJECTURES OF SANDON AND ZANELLO ON COLORED PARTITION IDENTITIES
B. Berndt, R. R. Zhou
201413 citations Open access
Semantic Scholar
A class of identities associated with Dirichlet series satisfying Hecke’s functional equation
B. Berndt, Atul Dixit, Rajat Gupta, A. Zaharescu
2021Proceedings of the American Mathematical Society12 citations Open access
Semantic Scholar
The Circle and Divisor Problems, and Ramanujan's Contributions through Bessel Function Series
B. Berndt, Sun Kim, A. Zaharescu
201310 citations
Semantic Scholar
Two general series identities involving modified Bessel functions and a class of arithmetical functions
B. Berndt, Atul Dixit, Rajat Gupta, A. Zaharescu
2022Canadian Journal of Mathematics - Journal Canadien de Mathematiques8 citations Open access
Semantic Scholar
On a theorem of A. I. Popov on sums of squares
B. Berndt, Atul Dixit, Sun Kim, A. Zaharescu
20168 citations Open access
Semantic Scholar
Finite trigonometric sums arising from Ramanujan’s theta functions
B. Berndt, Sun Kim, A. Zaharescu
2022The Ramanujan journal7 citations Open access
Semantic Scholar
Explicit Values for Ramanujan's Theta Function ϕ(q)
B. Berndt, Örs Rebák
2021Hardy-Ramanujan Journal7 citations Open access
Semantic Scholar
Ramanujan's Formula for $\zeta(2n+1)$
B. Berndt, A. Straub
20177 citations
Semantic Scholar
Logarithmic means and double series of Bessel functions
B. Berndt, Sun Kim
20157 citations
Semantic Scholar
The final problem: an identity from Ramanujan's lost notebook
B. Berndt, Jun-Xian Li, A. Zaharescu
2019Journal of the London Mathematical Society6 citations Open access
Semantic Scholar
Analogues of Koshliakov's formula
B. Berndt, Sun Kim, A. Zaharescu
20146 citations
Semantic Scholar
Diophantine approximation of the exponential function and Sondowʼs Conjecture
B. Berndt, Sun Kim, A. Zaharescu
20136 citations Open access
Semantic Scholar
Ramanujan and Koshliakov Meet Abel and Plana
B. Berndt, Atul Dixit, Rajat Gupta, A. Zaharescu
20215 citations
Semantic Scholar
Partitions into kth powers of terms in an arithmetic progression
B. Berndt, Amita Malik, A. Zaharescu
2018Mathematische Zeitschrift5 citations
Semantic Scholar
Ramanujan's Beautiful Integrals
B. Berndt, Atul Dixit
2021Hardy-Ramanujan Journal4 citations Open access
Semantic Scholar
Dirichlet $L$-functions, elliptic curves, hypergeometric functions, and rational approximation with partial sums of power series
B. Berndt, Sun Kim, A. Zaharescu
20134 citations Open access
Semantic Scholar
Two Dirichlet series evaluations found on page 196 of Ramanujan's Lost Notebook
B. Berndt, H. Chan, Y. Tanigawa
2012Mathematical Proceedings of the Cambridge Philosophical Society4 citations Open access
Semantic Scholar
Certain Integrals Arising from Ramanujan's Notebooks
B. Berndt, A. Straub
20153 citations Open access
Semantic Scholar
Generalizations of the Andrews–Yee identities associated with the mock theta functions ! ( q ) and (cid:2) ( q )
B. Berndt, Atul Dixit, Rajat Gupta
20212 citations
Semantic Scholar
Ramanujan at elementary levels: glimpses
B. Berndt, Atul Dixit, V. Reuter, Ping Xu +1 more
20162 citations
Semantic Scholar
THE CIRCLE PROBLEM AND DOUBLE SERIES OF BESSEL FUNCTIONS
B. Berndt, Sun Kim, A. Zaharescu
20142 citations
Semantic Scholar
Diophantine approximation with partial sums of power series
B. Berndt, Sun Kim, M. T. Phaovibul, A. Zaharescu
20132 citations Open access
Semantic Scholar
EULER PRODUCTS IN RAMANUJAN'S LOST NOTEBOOK
B. Berndt, Byungchan Kim, K. Williams
20132 citations
Semantic Scholar
Proofs of McIntosh's conjecture on Franel integrals and two generalizations
B. Berndt, Li Xie, A. Zaharescu
2022Advances in Mathematics1 citations Open access
Semantic Scholar
The Legacy of Dick Askey (1933–2019)
H. Cohl, M. Ismail, H. Wu, Paul M. Terwilliger +10 more
2022Notices of the American Mathematical Society1 citations Open access
Semantic Scholar
Generalizations of the Andrews–Yee identities associated with the mock theta functions $$\omega (q)$$ and $$\nu (q)$$
B. Berndt, Atul Dixit, Rajat Gupta
2021Journal of Algebraic Combinatorics1 citations Open access
Semantic Scholar
Balanced derivatives, identities, and bounds for trigonometric and Bessel series
B. Berndt, Martino Fassina, Sun Kim, A. Zaharescu
2021Advances in Mathematics1 citations Open access
Semantic Scholar
Ramanujan, His Lost Notebook, Its Importance
B. Berndt
20201 citations Open access
Semantic Scholar
The Continuing Mystery
G. Andrews, B. Berndt
20181 citations
Semantic Scholar
Ramanujan’s series for 1/π: A survey (2009)
Nayandeep Deka Baruah, B. Berndt, H. Chan
20161 citations
Semantic Scholar
Integrals associated with Ramanujan and elliptic functions
B. Berndt
2016The Ramanujan journal1 citations
Semantic Scholar
The Appearance of H.F. Baker and E.W. Hobson in “The Man Who Knew Infinity”
B. Berndt
20161 citations
Semantic Scholar
Finite and infinite Rogers-Ramanujan continued fractions in Ramanujan's lost notebook
B. Berndt, Soon-Yi Kang, J. Sohn
20151 citations Open access
Semantic Scholar
Identities for Logarithmic Means: A Survey
B. Berndt, Sun Kim
20151 citations
Semantic Scholar
RAMANUJAN’S EARLIER NOTEBOOKS AND HIS LOST NOTEBOOK
B. Berndt, Krishna Rao
20141 citations
Semantic Scholar
A problem in diophantine approximation found in Ramanujan’s lost notebook
B. Berndt, Sun Kim
20131 citations
Semantic Scholar

Frequent co-authors

Invite them to SciRah by sharing their profile.

A. Zaharescu×22
Invite
A. Zaharescu — researcher profile on SciRah
Sun Kim×18
Invite
Sun Kim — researcher profile on SciRah
Atul Dixit×10
Invite
Atul Dixit — researcher profile on SciRah
Rajat Gupta×5
Invite
Rajat Gupta — researcher profile on SciRah

×4

Invite

A. Straub — researcher profile on SciRah

Invite

G. Andrews — researcher profile on SciRah

Invite

Amita Malik — researcher profile on SciRah

Invite

K. Williams — researcher profile on SciRah

Invite

R. R. Zhou — researcher profile on SciRah

Invite

H. Chan — researcher profile on SciRah

Invite

R. Evans — researcher profile on SciRah

Invite

Arindam Roy — researcher profile on SciRah