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Ramanujan 125 [edited by] Krishnaswami Alladi, Frank Garvan and Ae Ja Yee.

By: International Conference to Commemorate the 125th Anniversary of Ramanujan's Birth, Ramanujan 125 (5-7 Nov 2012: Gainesville, Florida).
Contributor(s): Alladi, Krishnaswami [editor.] | Garvan, Frank [editor] | Yee, Ae Ja [editor.].
Material type: TextTextSeries: Contemporary mathematics ; 627.Publisher: Providence : American Mathematical Society, c2014Description: ix, 174 p. : illustrations ; 26 cm.ISBN: 9781470410780 (pbk. : acidfree paper).Subject(s): Ramanujan Aiyangar, Srinivasa. 1887-1920 | Theta Functions -- Congresses | Lie algebras -- CongressesDDC classification: 510
Contents:
Hecke grids and congruences for weakly holomorphic modular forms / Scott Ahlgren and Nickolas Andersen -- Knots and $q$-series / George E. Andrews -- A partition inequality involving products of two $q$-Pochhammer symbols / Alexander Berkovich and Keith Grizzell -- Analogues of Koshliakov's formula / Bruce C. Berndt, Sun Kim and Alexandru Zaharescu -- How to prove Ramanujan's $q$-continued fractions / Gaurav Bhatnagar -- A nonsingular $Z_3$ curve of genus $4$ / H. M. Farkas, J. Y. Kaminski and E. Yakubov -- Ramanujan's radial limits / Amanda Folsom, Ken Ono and Robert C. Rhoades -- An identity that may have changed the course of history / Michael D. Hirschhorn -- The major index generating function of standard Young tableaux of shapes of the form "staircase minus rectangle" / C. Krattenthaler and M. J. Schlosser -- Convergence of random continued fractions / Lisa Lorentzen -- Tensor product decomposition of $\widehat {\mathfrak {sl}}(n)$ modules and identities / Kailash C. Misra and Evan A. Wilson -- Ramanujan, Robin, highly composite numbers, and the Riemann Hypothesis / Jean-Louis Nicolas and Jonathan Sondow -- A quaternionic proof of the representation formulas of two quaternary quadratic forms / Cherng-tiao Perng --
Summary: This volume contains the proceedings of an international conference to commemorate the 125th anniversary of Ramanujan's birth, held from November 5-7, 2012, at the University of Florida, Gainesville, Florida. Srinivasa Ramanujan was India's most famous mathematician. This volume contains research and survey papers describing recent and current developments in the areas of mathematics influenced by Ramanujan. The topics covered include modular forms, mock theta functions and harmonic Maass forms, continued fractions, partition inequalities, q-series, representations of affine Lie algebras and partition identities, highly composite numbers, analytic number theory and quadratic forms.
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Conference in honor of Indian mathematician Srinivasa Ramanujan Aiyangar.

Includes bibliographical references.

Hecke grids and congruences for weakly holomorphic modular forms / Scott Ahlgren and Nickolas Andersen --
Knots and $q$-series / George E. Andrews --
A partition inequality involving products of two $q$-Pochhammer symbols / Alexander Berkovich and Keith Grizzell --
Analogues of Koshliakov's formula / Bruce C. Berndt, Sun Kim and Alexandru Zaharescu --
How to prove Ramanujan's $q$-continued fractions / Gaurav Bhatnagar --
A nonsingular $Z_3$ curve of genus $4$ / H. M. Farkas, J. Y. Kaminski and E. Yakubov --
Ramanujan's radial limits / Amanda Folsom, Ken Ono and Robert C. Rhoades --
An identity that may have changed the course of history / Michael D. Hirschhorn --
The major index generating function of standard Young tableaux of shapes of the form "staircase minus rectangle" / C. Krattenthaler and M. J. Schlosser --
Convergence of random continued fractions / Lisa Lorentzen --
Tensor product decomposition of $\widehat {\mathfrak {sl}}(n)$ modules and identities / Kailash C. Misra and Evan A. Wilson --
Ramanujan, Robin, highly composite numbers, and the Riemann Hypothesis / Jean-Louis Nicolas and Jonathan Sondow --
A quaternionic proof of the representation formulas of two quaternary quadratic forms / Cherng-tiao Perng --

This volume contains the proceedings of an international conference to commemorate the 125th anniversary of Ramanujan's birth, held from November 5-7, 2012, at the University of Florida, Gainesville, Florida. Srinivasa Ramanujan was India's most famous mathematician. This volume contains research and survey papers describing recent and current developments in the areas of mathematics influenced by Ramanujan. The topics covered include modular forms, mock theta functions and harmonic Maass forms, continued fractions, partition inequalities, q-series, representations of affine Lie algebras and partition identities, highly composite numbers, analytic number theory and quadratic forms.

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