Volume 29; Issue 1-3

The Ramanujan Journal

Volume 29; Issue 1-3
2

An asymptotic expansion related to the Dickman function

K. Soundararajan
Journal:
The Ramanujan Journal
Year:
2012
Language:
english
File:
PDF, 280 KB
english, 2012
5

Weighted divisor sums and Bessel function series, IV

Bruce C. Berndt, Sun Kim, Alexandru Zaharescu
Journal:
The Ramanujan Journal
Year:
2012
Language:
english
File:
PDF, 698 KB
english, 2012
6

Ramanujan-type partial theta identities and conjugate Bailey pairs

Jeremy Lovejoy
Journal:
The Ramanujan Journal
Year:
2012
Language:
english
File:
PDF, 534 KB
english, 2012
7

Sporadic sequences, modular forms and new series for 1/π

Shaun Cooper
Journal:
The Ramanujan Journal
Year:
2012
Language:
english
File:
PDF, 644 KB
english, 2012
8

Complex series for 1/π

Heng Huat Chan, James Wan, Wadim Zudilin
Journal:
The Ramanujan Journal
Year:
2012
Language:
english
File:
PDF, 368 KB
english, 2012
10

A central limit theorem for Ramanujan’s tau function

P. D. T. A. Elliott
Journal:
The Ramanujan Journal
Year:
2012
Language:
english
File:
PDF, 501 KB
english, 2012
11

Combinatorial interpretations of congruences for the spt-function

George E. Andrews, Frank G. Garvan, Jie Liang
Journal:
The Ramanujan Journal
Year:
2012
Language:
english
File:
PDF, 567 KB
english, 2012
12

On SA, CA, and GA numbers

Geoffrey Caveney, Jean-Louis Nicolas, Jonathan Sondow
Journal:
The Ramanujan Journal
Year:
2012
Language:
english
File:
PDF, 771 KB
english, 2012
13

Linear relations among Poincaré series via harmonic weak Maass forms

Robert C. Rhoades
Journal:
The Ramanujan Journal
Year:
2012
Language:
english
File:
PDF, 419 KB
english, 2012
14

Ramanujan’s1ψ1summation, Hecke-type double sums, and Appell–Lerch sums

Eric Mortenson
Journal:
The Ramanujan Journal
Year:
2012
Language:
english
File:
PDF, 466 KB
english, 2012
15

Analysis of a generalized Lebesgue identity in Ramanujan’s Lost Notebook

Krishnaswami Alladi
Journal:
The Ramanujan Journal
Year:
2012
Language:
english
File:
PDF, 616 KB
english, 2012
16

On algebraic relations for Ramanujan’s functions

Carsten Elsner, Iekata Shiokawa
Journal:
The Ramanujan Journal
Year:
2012
Language:
english
File:
PDF, 694 KB
english, 2012
17

Partitions and the grand canonical ensemble

Freeman Dyson
Journal:
The Ramanujan Journal
Year:
2012
Language:
english
File:
PDF, 275 KB
english, 2012
18

A motivated proof of Gordon’s identities

James Lepowsky, Minxian Zhu
Journal:
The Ramanujan Journal
Year:
2012
Language:
english
File:
PDF, 487 KB
english, 2012
19

“Algebraical oddities” in Ramanujan’s lost notebook

Michael D. Hirschhorn
Journal:
The Ramanujan Journal
Year:
2012
Language:
english
File:
PDF, 312 KB
english, 2012
20

On the smooth transfer conjecture of Jacquet–Rallis forn=3

Wei Zhang
Journal:
The Ramanujan Journal
Year:
2012
Language:
english
File:
PDF, 913 KB
english, 2012
21

New modular equations in the spirit of Ramanujan

Boonrod Yuttanan
Journal:
The Ramanujan Journal
Year:
2012
Language:
english
File:
PDF, 505 KB
english, 2012
22

Ideal composition in quadratic fields: from Bhargava to Gauss

Duncan A. Buell
Journal:
The Ramanujan Journal
Year:
2012
Language:
english
File:
PDF, 596 KB
english, 2012
23

Nonnormality of Stoneham constants

David H. Bailey, Jonathan M. Borwein
Journal:
The Ramanujan Journal
Year:
2012
Language:
english
File:
PDF, 472 KB
english, 2012
24

Distribution of averages of Ramanujan sums

Emre Alkan
Journal:
The Ramanujan Journal
Year:
2012
Language:
english
File:
PDF, 709 KB
english, 2012
25

A proof of theS-genus identities for ternary quadratic forms

Alexander Berkovich, Jonathan Hanke, Will Jagy
Journal:
The Ramanujan Journal
Year:
2012
Language:
english
File:
PDF, 565 KB
english, 2012
26

Uncovering Ramanujan’s “Lost” Notebook: an oral history

Robert P. Schneider
Journal:
The Ramanujan Journal
Year:
2012
Language:
english
File:
PDF, 576 KB
english, 2012
27

Preface

Krishnaswami Alladi, George E. Andrews, Jonathan M. Borwein
Journal:
The Ramanujan Journal
Year:
2012
Language:
english
File:
PDF, 119 KB
english, 2012