000 03155cam a2200313 i 4500
001 135774
003 ISI Library, Kolkata
005 20150526120320.0
008 140318t20142014riua b 101 0 eng
020 _a9781470410780 (pbk. : acidfree paper)
040 _aISI Library
082 0 0 _a510
111 2 _aInternational Conference to Commemorate the 125th Anniversary of Ramanujan's Birth, Ramanujan 125
_d(5-7 Nov 2012:
_cGainesville, Florida)
245 0 0 _aRamanujan 125
_c[edited by] Krishnaswami Alladi, Frank Garvan and Ae Ja Yee.
260 _aProvidence :
_bAmerican Mathematical Society,
300 _aix, 174 p. :
_billustrations ;
_c26 cm.
490 0 _aContemporary mathematics ;
500 _aConference in honor of Indian mathematician Srinivasa Ramanujan Aiyangar.
504 _aIncludes bibliographical references.
505 0 _aHecke 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 --
520 _aThis 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.
600 1 0 _aRamanujan Aiyangar, Srinivasa.
650 0 _aTheta Functions
650 0 _aLie algebras
700 1 _aAlladi, Krishnaswami,
700 1 _aGarvan, Frank
700 1 _aYee, Ae Ja,
942 _2ddc
999 _c419089