Volume 29, Issue 1-3, December 2012

Ramanujan's 125th anniversary special volume

ISSN: 1382-4090 (Print) 1572-9303 (Online)

In this issue (27 articles)

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  1. EditorialNotes

    Preface

    Krishnaswami Alladi, George E. Andrews, Jonathan M. Borwein Pages 1-2
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    ReviewPaper

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

    Robert P. Schneider Pages 3-24
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    An asymptotic expansion related to the Dickman function

    K. Soundararajan Pages 25-30
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    Ideal composition in quadratic fields: from Bhargava to Gauss

    Duncan A. Buell Pages 31-49
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    Ramanujan-type partial theta identities and conjugate Bailey pairs

    Jeremy Lovejoy Pages 51-67
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    “Algebraical oddities” in Ramanujan’s lost notebook

    Michael D. Hirschhorn Pages 69-77
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    Weighted divisor sums and Bessel function series, IV

    Bruce C. Berndt, Sun Kim, Alexandru Zaharescu Pages 79-102
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    Ramanujan’s Master Theorem

    Tewodros Amdeberhan, Olivier Espinosa, Ivan Gonzalez… Pages 103-120
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    Ramanujan’s 1 ψ 1 summation, Hecke-type double sums, and Appell–Lerch sums

    Eric Mortenson Pages 121-133
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    Complex series for 1/π

    Heng Huat Chan, James Wan, Wadim Zudilin Pages 135-144
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    A central limit theorem for Ramanujan’s tau function

    P. D. T. A. Elliott Pages 145-161
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    Sporadic sequences, modular forms and new series for 1/π

    Shaun Cooper Pages 163-183
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    Two-dimensional series evaluations via the elliptic functions of Ramanujan and Jacobi

    Bruce C. Berndt, George Lamb, Mathew Rogers Pages 185-198
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    A motivated proof of Gordon’s identities

    James Lepowsky, Minxian Zhu Pages 199-211
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    Logarithmic vector-valued modular forms and polynomial-growth estimates of their Fourier coefficients

    Marvin Knopp, Geoffrey Mason Pages 213-223
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    On the smooth transfer conjecture of Jacquet–Rallis for n=3

    Wei Zhang Pages 225-256
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    New modular equations in the spirit of Ramanujan

    Boonrod Yuttanan Pages 257-272
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    On algebraic relations for Ramanujan’s functions

    Carsten Elsner, Iekata Shiokawa Pages 273-294
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    Partial theta functions and mock modular forms as q-hypergeometric series

    Kathrin Bringmann, Amanda Folsom, Robert C. Rhoades Pages 295-310
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    Linear relations among Poincaré series via harmonic weak Maass forms

    Robert C. Rhoades Pages 311-320
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