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1

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

Berndt, Bruce C., Kim, Sun, Zaharescu, Alexandru

Journal:

American Mathematical Monthly

Année:

2018

Langue:

english

Fichier:

PDF, 533 KB

english, 2018

2

Introductory Combinatorics.

Berndt, Bruce C., Brualdi, Richard A.

Journal:

American Mathematical Monthly

Année:

1980

Langue:

english

Fichier:

PDF, 406 KB

english, 1980

3

Commentary on an unpublished lecture by G. N. Watson on solving the quintic

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

Journal:

The Mathematical Intelligencer

Année:

2002

Langue:

english

Fichier:

PDF, 4.60 MB

english, 2002

4

Srinivasa Ramanujan

BRUCE C. BERNDT

Journal:

The American Scholar

Année:

1989

Langue:

english

Fichier:

PDF, 1.02 MB

english, 1989

5

Gauss, Landen, Ramanujan, the Arithmetic-Geometric Mean, Ellipses, π, and the Ladies Diary

Almkvist, Gert, Berndt, Bruce

Journal:

American Mathematical Monthly

Année:

1988

Fichier:

PDF, 1.41 MB

1988

6

Sums of gauss, jacobi, and jacobsthal

Bruce C Berndt, Ronald J Evans

Journal:

Journal of Number Theory

Année:

1979

Langue:

english

Fichier:

PDF, 1.99 MB

english, 1979

7

The Books Studied by Ramanujan in India

Bruce C. Berndt and Robert A. Rankin

Journal:

American Mathematical Monthly

Année:

2000

Langue:

english

Fichier:

PDF, 751 KB

english, 2000

8

Ramanujan's Lost Notebook (Part V) || Fifth Order Mock Theta Functions: Proof of the Mock Theta Conjectures

Andrews, George E., Berndt, Bruce C.

Année:

2018

Langue:

english

Fichier:

PDF, 443 KB

english, 2018

9

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

Journal:

Journal of Number Theory

Année:

1975

Langue:

english

Fichier:

PDF, 1.28 MB

english, 1975

10

Ramanujan's Lost Notebook Volume 115 || Ramanujan’s Unpublished Manuscript on the Partition and Tau Functions

Andrews, George E., Berndt, Bruce C.

Année:

2012

Langue:

english

Fichier:

PDF, 998 KB

english, 2012

11

Ramanujan's Series for 1/π: A Survey

Nayandeep Deka Baruah, Bruce C. Berndt and Heng Huat Chan

Journal:

American Mathematical Monthly

Année:

2009

Langue:

english

Fichier:

PDF, 1.51 MB

english, 2009

12

Ramanujan--For Lowbrows

Berndt, Bruce C., Bhargava, S.

Journal:

American Mathematical Monthly

Année:

1993

Langue:

english

Fichier:

PDF, 1.25 MB

english, 1993

13

Ramanujan's Lost Notebook (Part V) || The Mock Theta Conjectures: Equivalence

Andrews, George E., Berndt, Bruce C.

Année:

2018

Langue:

english

Fichier:

PDF, 301 KB

english, 2018

14

Ramanujan's Lost Notebook (Part V) ||

Andrews, George E., Berndt, Bruce C.

Année:

2018

Langue:

english

Fichier:

PDF, 5.19 MB

english, 2018

15

Finite trigonometric sums and class numbers

Bruce C. Berndt, Alexandru Zaharescu

Journal:

Mathematische Annalen

Année:

2004

Langue:

english

Fichier:

PDF, 198 KB

english, 2004

16

On the Brocard–Ramanujan Diophantine Equation n! + 1 = m2

Bruce C. Berndt, William F. Galway

Journal:

The Ramanujan Journal

Année:

2000

Langue:

english

Fichier:

PDF, 22 KB

english, 2000

17

RAMANUJAN'S CONGRUENCES FOR THE PARTITION FUNCTION MODULO 5, 7, AND 11

BERNDT, BRUCE C.

Journal:

International Journal of Number Theory

Année:

2007

Langue:

english

Fichier:

PDF, 100 KB

english, 2007

18

An integral of Dedekind An integral of Dedekind An integral of Dedekind An integral of Dedekind eta-functions in Ramanujans lost notebook

Berndt, Bruce C., Zaharescu, Alexandru

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Année:

2002

Langue:

english

Fichier:

PDF, 87 KB

english, 2002

19

Two Exams Taken by Ramanujan in India

Bruce C. Berndt and C. A. Reddi

Journal:

American Mathematical Monthly

Année:

2004

Langue:

english

Fichier:

PDF, 287 KB

english, 2004

20

Reviews

Journal:

American Mathematical Monthly

Année:

2019

Langue:

english

Fichier:

PDF, 317 KB

english, 2019

21

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

Bruce C. Berndt

Journal:

American Mathematical Monthly

Année:

2011

Langue:

english

Fichier:

PDF, 365 KB

english, 2011

22

EULER PRODUCTS IN RAMANUJAN'S LOST NOTEBOOK

BERNDT, BRUCE C., KIM, BYUNGCHAN, WILLIAMS, KENNETH S.

Journal:

International Journal of Number Theory

Année:

2013

Langue:

english

Fichier:

PDF, 457 KB

english, 2013

23

Weighted divisor sums and Bessel function series. III

Berndt, Bruce C., Kim, Sun, Zaharescu, Alexandru

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Année:

2013

Langue:

english

Fichier:

PDF, 320 KB

english, 2013

24

Generalized Dedekind Eta-Functions and Generalized Dedekind Sums

Bruce C. Berndt

Journal:

Transactions of the American Mathematical Society

Année:

1973

Langue:

english

Fichier:

PDF, 293 KB

english, 1973

25

Elementary Evaluation of ζ(2n)

Bruce C. Berndt

Journal:

Mathematics Magazine

Année:

1975

Langue:

english

Fichier:

PDF, 547 KB

english, 1975

26

Exercises in Number Theory.by D. P. Parent

Review by: Bruce C. Berndt

Journal:

American Mathematical Monthly

Année:

1986

Langue:

english

Fichier:

PDF, 378 KB

english, 1986

27

Elementary Problems: E2755-E2760

Michael Slater, Harry D. Ruderman, Bruce C. Berndt, Hugh L. Montgomery and Kenneth S. Williams

Journal:

American Mathematical Monthly

Année:

1979

Langue:

english

Fichier:

PDF, 307 KB

english, 1979

28

The Quarterly Reports of S. Ramanujan

Bruce C. Berndt

Journal:

American Mathematical Monthly

Année:

1983

Langue:

english

Fichier:

PDF, 1.02 MB

english, 1983

29

Integrals associated with Ramanujan and elliptic functions

Berndt, Bruce C.

Journal:

The Ramanujan Journal

Année:

2016

Langue:

english

Fichier:

PDF, 533 KB

english, 2016

30

Theory and Application of Special Functions || Periodic Bernoulli Numbers, Summation Formulas and Applications

Berndt, Bruce C.

Année:

1975

Langue:

english

Fichier:

PDF, 1.28 MB

english, 1975

31

Ramanujan's Lost Notebook (Part V) || Tenth Order Mock Theta Functions: Part I, The First Four Identities

Andrews, George E., Berndt, Bruce C.

Année:

2018

Langue:

english

Fichier:

PDF, 417 KB

english, 2018

32

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

Berndt, Bruce C., Li, Junxian, Zaharescu, Alexandru

Journal:

Journal of the London Mathematical Society

Année:

2019

Langue:

english

Fichier:

PDF, 325 KB

english, 2019

33

Sixth order mock theta functions

Bruce C. Berndt, Song Heng Chan

Journal:

Advances in Mathematics

Année:

2007

Langue:

english

Fichier:

PDF, 169 KB

english, 2007

34

Theorems on partitions from a page in Ramanujan's lost notebook

Bruce C. Berndt, Ae Ja Yee, Jinhee Yi

Journal:

Journal of Computational and Applied Mathematics

Année:

2003

Langue:

english

Fichier:

PDF, 221 KB

english, 2003

35

Weighted Divisor Sums and Bessel Function Series

Bruce C. Berndt, Alexandru Zaharescu

Journal:

Mathematische Annalen

Année:

2006

Langue:

english

Fichier:

PDF, 267 KB

english, 2006

36

A reciprocity theorem for certainq-series found in Ramanujan’s lost notebook

Bruce C. Berndt, Song Heng Chan, Boon Pin Yeap, Ae Ja Yee

Journal:

The Ramanujan Journal

Année:

2007

Langue:

english

Fichier:

PDF, 279 KB

english, 2007

37

Eisenstein series and Ramanujan-type series for 1/π

Nayandeep Deka Baruah, Bruce C. Berndt

Journal:

The Ramanujan Journal

Année:

2010

Langue:

english

Fichier:

PDF, 592 KB

english, 2010

38

Ramanujan's Singular Moduli

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

Journal:

The Ramanujan Journal

Année:

1997

Langue:

english

Fichier:

PDF, 164 KB

english, 1997

39

Eisenstein Series in Ramanujan's Lost Notebook

Bruce C. Berndt, Heng Huat Chan, Jaebum Sohn, Seung Hwan Son

Journal:

The Ramanujan Journal

Année:

2000

Langue:

english

Fichier:

PDF, 146 KB

english, 2000

40

Weighted divisor sums and Bessel function series, II

Bruce C. Berndt, Sun Kim, Alexandru Zaharescu

Journal:

Advances in Mathematics

Année:

2012

Langue:

english

Fichier:

PDF, 272 KB

english, 2012

41

Two-dimensional series evaluations via the elliptic functions of Ramanujan and Jacobi

Bruce C. Berndt, George Lamb, Mathew Rogers

Journal:

The Ramanujan Journal

Année:

2012

Langue:

english

Fichier:

PDF, 528 KB

english, 2012

42

Weighted divisor sums and Bessel function series, IV

Bruce C. Berndt, Sun Kim, Alexandru Zaharescu

Journal:

The Ramanujan Journal

Année:

2012

Langue:

english

Fichier:

PDF, 698 KB

english, 2012

43

Circle and divisor problems, and double series of Bessel functions

Berndt, Bruce C., Kim, Sun, Zaharescu, Alexandru

Journal:

Advances in Mathematics

Année:

2013

Langue:

english

Fichier:

PDF, 343 KB

english, 2013

44

E2876

Doug Hensley, Tom M. Apostol, Miroslav D. Asic, Bruce C. Berndt, Paul Chauveheid, Robert Corless, Larry Eifler, Michael B. Gregory, Richard Johnsonbaugh, Kenneth A. Klinger, O. P. Lossers, L. E. Matti

Journal:

American Mathematical Monthly

Année:

1982

Langue:

english

Fichier:

PDF, 287 KB

english, 1982

45

6371

Bruce C. Berndt and Otto G. Ruehr

Journal:

American Mathematical Monthly

Année:

1983

Langue:

english

Fichier:

PDF, 168 KB

english, 1983

46

Ramanujan's Lost Notebook ||

Andrews, George E., Berndt, Bruce C.

Année:

2013

Langue:

english

Fichier:

PDF, 4.93 MB

english, 2013

47

DETERMINATIONS OF ANALOGUES OF GAUSS SUMS AND OTHER TRIGONOMETRIC SUMS

BECK, MATTHIAS, BERNDT, BRUCE C., CHAN, O-YEAT, ZAHARESCU, ALEXANDRU

Journal:

International Journal of Number Theory

Année:

2005

Langue:

english

Fichier:

PDF, 294 KB

english, 2005

48

S27

Emma Lehmer, Bruce C. Berndt and Ronald J. Evans

Journal:

American Mathematical Monthly

Année:

1982

Langue:

english

Fichier:

PDF, 231 KB

english, 1982

49

Ramanujan's Association with Radicals in India

Bruce C. Berndt, Heng Huat Chan and Liang-Cheng Zhang

Journal:

American Mathematical Monthly

Année:

1997

Langue:

english

Fichier:

PDF, 222 KB

english, 1997

50

The Gamma Function and the Hurwitz Zeta-Function

Bruce C. Berndt

Journal:

American Mathematical Monthly

Année:

1985

Langue:

english

Fichier:

PDF, 467 KB

english, 1985