Bruce C. Berndt

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Hecke's Theory of Modular Forms and Dirichlet Series

Bruce C. Berndt, B. Berndt, 2007, Monographs in Number Theory.

The Books Studied by Ramanujan in India

Bruce C. Berndt, Robert A. Rankin, 2000, Am. Math. Mon..

Well-Poised Series

George E. Andrews, Bruce C. Berndt, G. Andrews, 2009 .

Elementary Problems: E3391-E3396

Bruce C. Berndt, David Doster, Antal Bege, 1990 .

The Chief Accountant and Mathematical Friend of Ramanujan—S. Narayana Aiyar

Bruce C. Berndt, 2011, Am. Math. Mon..

Cranks and dissections in Ramanujan's lost notebook

Bruce C. Berndt, Heng Huat Chan, Song Heng Chan, 2005, J. Comb. Theory, Ser. A.

Ramanujan's Eisenstein series and new hypergeometric-like series for 1/pi2

Bruce C. Berndt, Nayandeep Deka Baruah, B. Berndt, 2009, J. Approx. Theory.

Two Exams Taken by Ramanujan in India

Bruce C. Berndt, C. A. Reddi, 2004, Am. Math. Mon..

Character analogues of theorems of Ramanujan, Koshliakov and Guinand

Bruce C. Berndt, Atul Dixit, Jaebum Sohn, 2011, Adv. Appl. Math..

Explicit evaluations and reciprocity theorems for finite trigonometric sums

Bruce C. Berndt, Boon Pin Yeap, B. Berndt, 2002, Adv. Appl. Math..

The Circle Problem of Gauss and the Divisor Problem of Dirichlet—Still Unsolved

Bruce C. Berndt, Alexandru Zaharescu, Sun Kim, 2018, Am. Math. Mon..

Partition identities and Ramanujan's modular equations

Bruce C. Berndt, Nayandeep Deka Baruah, 2007, J. Comb. Theory, Ser. A.

Commentary on and Corrections to the First Four Volumes

George E. Andrews, Bruce C. Berndt, G. Andrews, 2018 .

Ramanujan's lost notebook: Combinatorial proofs of identities associated with Heine's transformation or partial theta functions

Bruce C. Berndt, Ae Ja Yee, Byungchan Kim, 2010, J. Comb. Theory, Ser. A.

The evaluation of character series by contour integration

Bruce C. Berndt, 1972 .

Number Theory and Modular Forms

Bruce C. Berndt, Ken Ono, 2003 .

Weighted divisor sums and Bessel function series, IV

Bruce C. Berndt, Sun Kim, Alexandru Zaharescu, 2012, The Ramanujan Journal.

Elementary Problems: E2755-E2760

Bruce C. Berndt, Harry D. Ruderman, Kenneth S. Williams, 1979 .

Ramanujan's Series for 1/π: A Survey

Bruce C. Berndt, Nayandeep Deka Baruah, Heng Huat Chan, 2009, Am. Math. Mon..

Surveys in number theory : papers from the Milennial Confrerence on Number Theory

Bruce C. Berndt, Harold G. Diamond, M. A. Bennett, 2002 .

The final problem: an identity from Ramanujan's lost notebook

Bruce C. Berndt, Alexandru Zaharescu, Junxian Li, 2019, J. Lond. Math. Soc..

Analytic Number Theory : Proceedings of a Conference In Honor of Heini Halberstam Volume 1

Bruce C. Berndt, Adolf J. Hildebrand, Harold G. Diamond, 1996 .

Integer Partitions, by George E. Andrews and Kimmo Eriksson, Cambridge University Press 2004

Bruce C. Berndt, 2006, Comb. Probab. Comput..

Two-parameter identities for divisor sums in algebraic number fields

Bruce C. Berndt, Alexandru Zaharescu, Martino Fassina, 2021, Journal of Mathematical Analysis and Applications.

Ramanujan and Koshliakov Meet Abel and Plana

Bruce C. Berndt, Alexandru Zaharescu, Atul Dixit, 2021 .

Ramanujan's Beautiful Integrals

Bruce C. Berndt, Atul Dixit, B. Berndt, 2021, Hardy-Ramanujan Journal.

Balanced derivatives, identities, and bounds for trigonometric and Bessel series

Bruce C. Berndt, Alexandru Zaharescu, Martino Fassina, 2021, Advances in Mathematics.

A Class of Identities Associated with Dirichlet Series Satisfying Hecke's Functional Equation

Bruce C. Berndt, Alexandru Zaharescu, Atul Dixit, 2021 .

The determination of Gauss sums

Bruce C. Berndt, Ronald J. Evans, B. Berndt, 1981 .

Commentary on an unpublished lecture by G. N. Watson on solving the quintic

Bruce C. Berndt, Blair K. Spearman, Kenneth S. Williams, 2002 .

Extensions of asymptotic expansions from Chapter 15 of Ramanujan's second notebook.

Bruce C. Berndt, Ronald J. Evans, 1985 .

Ramanujan's Lost Notebook: Part I

George E. Andrews, Bruce C. Berndt, G. Andrews, 2005 .

Generalized Dedekind eta-functions and generalized Dedekind sums

Bruce C. Berndt, B. Berndt, 1973 .

Flowers which we cannot yet see growing in Ramanujan's garden of hypergeometric series, elliptic functions, and q's

Bruce C. Berndt, B. Berndt, 2001 .

Ramanujan's theory of theta-functions

Bruce C. Berndt, B. Berndt, 1993 .

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

Bruce C. Berndt, Ken Ono, B. Berndt, 2001 .

Character analogues of the poisson and Euler-MacLaurin summation formulas with applications

Bruce C. Berndt, 1975 .

Eisenstein Series and Approximations to π

Bruce C. Berndt, Heng Huat Chan, 2001 .

Ramanujan's Notebooks

Douglas Quadling, Bruce C. Berndt, B. Berndt, 1986 .

Chapter 3 of Ramanujan's second notebook

Bruce C. Berndt, Ronald J. Evans, B. M Wilson, 1983 .

Notes on Ramanujan's singular moduli

Bruce C. Berndt, Heng Huat Chan, 1999 .

Continued fractions : from analytic number theory to constructive approximation : a volume in honor of L.J. Lange : Continued Fractions, From Analytic Number Theory to Constructive Approximation, May 20-23, 1998, University of Missouri-Columbia

Bruce C. Berndt, Fritz Gesztesy, 1999 .

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

Bruce C. Berndt, Ken Ono, B. Berndt, 2001 .

Asymptotic expansions of certain partial theta functions

Bruce C. Berndt, Byungchan Kim, B. Berndt, 2011 .

On Ramanujan's Quartic Theory of Elliptic Functions☆

Bruce C. Berndt, Heng Huat Chan, Wen Chin Liaw, 2001 .

Combinatorial Proofs of Identities in Ramanujan’s Lost Notebook Associated with the Rogers-Fine Identity and False Theta Functions

Bruce C. Berndt, Ae Ja Yee, 2003 .

The Gamma Function and the Hurwitz Zeta-Function

Bruce C. Berndt, B. Berndt, 1985 .

Analytic number theory : proceedings of a conference in honor of Paul T. Bateman

Bruce C. Berndt, Harold G. Diamond, H. Halberstam, 1990 .

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

Bruce C. Berndt, B. Berndt, C. Adiga, 1985 .

ON THE ZEROS OF THE RIEMANN ZETA-FUNCTION

Bruce C. Berndt, 1969 .

Chapter 7 of Ramanujan’s second notebook

Bruce C. Berndt, Ronald J. Evans, 1982 .

Ramanujan's identities for eta-functions

Bruce C. Berndt, B. Berndt, Liang Cheng Zhang, 1992 .

Some integrals in Ramanujan’s lost notebook

Bruce C. Berndt, 2004 .

Number theory in the spirit of Ramanujan

Bruce C. Berndt, B. Berndt, 2006 .

Sums of gauss, jacobi, and jacobsthal☆

Bruce C. Berndt, Ronald J. Evans, B. Berndt, 1979 .

Ramanujan's series for 1/π arising from his cubic and quartic theories of elliptic functions

Bruce C. Berndt, Nayandeep Deka Baruah, 2008 .

Partition-Theoretic Interpretations of Certain Modular Equations of Schröter, Russell, and Ramanujan

Bruce C. Berndt, 2007 .

Periodic analogues of the Euler-Maclaurin and Poisson summation formulas with applications to number theory

Bruce C. Berndt, Lowell Schoenfeld, L. Schoenfeld, 1975 .

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

Bruce C. Berndt, Gert Almkvist, B. Berndt, 1988 .

Periodic Bernoulli Numbers, Summation Formulas and Applications

Bruce C. Berndt, 1975 .

Ramanujan's inversion formulas for the lemniscate and allied functions

Bruce C. Berndt, Satish K Bhargava, 1991 .

Ramanujan's Singular Moduli

Bruce C. Berndt, Heng Huat Chan, Liang Cheng Zhang, 1997 .

Ramanujan’s Unpublished Manuscript on the Partition and Tau Functions

George E. Andrews, Bruce C. Berndt, G. Andrews, 2001 .

Generalized Eisenstein series and modified Dedekind sums.

Bruce C. Berndt, 1975 .

The Continued fractions found in the unorganized portions of Ramanujan's notebooks

George E. Andrews, Bruce C. Berndt, Robert L. Lamphere, 1992 .

Eisenstein series and Ramanujan-type series for 1/π

Bruce C. Berndt, Nayandeep Deka Baruah, B. Berndt, 2010 .

On a certain theta-function in a letter of Ramanujan from Fitzroy House

Bruce C. Berndt, B. Berndt, 1992 .

Ramanujan and the Modular j-Invariant

Bruce C. Berndt, Heng Huat Chan, B. Berndt, 1999, Canadian Mathematical Bulletin.

Ramanujan: Essays and Surveys

Bruce C. Berndt, Robert A. Rankin, 2001 .

Ramanujan’s Theories of Elliptic Functions to Alternative Bases

Bruce C. Berndt, Frank G. Garvan, B. Berndt, 1995 .

Ramanujan: Letters and Commentary

Bruce C. Berndt, Robert A. Rankin, B. Berndt, 1995 .

Reciprocity theorems for dedekind sums and generalizations

Bruce C. Berndt, B. Berndt, 1977 .

On the Hurwitz zeta-function

Bruce C. Berndt, B. Berndt, 1972 .

Bruce C. Berndt, 1985 .