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A Tribute to Emil Grosswald : [electronic resource] number theory and related analysis / Marvin Knopp, Mark Sheingorn, editors.

Contributor(s): Grosswald, Emil | Knopp, Marvin Isadore, 1933- | Sheingorn, Mark, 1944-Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 143.Publication details: Providence, R.I. : American Mathematical Society, c1993Description: 1 online resource (viii, 612 p. : ill.)ISBN: 9780821877340 (online)Subject(s): Number theory | Combinatorial analysisAdditional physical formats: Tribute to Emil Grosswald :DDC classification: 512/.7 LOC classification: QA241 | .T75 1993Online resources: Contents | Contents

Contents:

In appreciation of Emil Grosswald / David Bressoud, Marvin Knopp and Mark Sheingorn -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/01158 Ph.D.\ students of Emil Grosswald / Marvin Knopp and Mark Sheingorn -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/01157 Publications of Emil Grosswald / Marvin Knopp and Mark Sheingorn -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/01156 A rather exact formula for the number of plane partitions / Gert Almkvist -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/00986 On Ramanujan's empirical calculation for the Rogers-Ramanujan identities / George E. Andrews -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/00987 Integers expressible in a given number of ways as a sum of two squares / Paul T. Bateman -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/00988 A theorem of Ramanujan on certain alternating series / Bruce C. Berndt and James Lee Hafner -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/00989 Combinatorial equivalence of definitions of the Schur function / David M. Bressoud and Shi-Yuan Wei -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/00990 Is there life on finite upper half planes? / Nancy Celniker, Steven Poulos, Audrey Terras, Cindy Trimble and Elinor Velasquez -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/00991 Rational period functions for $\mathrm {PSL}(2, \mathbf {Z})$ / Yj. Choie and D. Zagier -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/00992 Rational period functions and indefinite binary quadratic forms. III / L. Alayne Parson -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/00993 Hypergeometric and modular function identities, and new rational approximations to and continued fraction expansions of classical constants and functions / D. V. Chudnovsky and G. V. Chudnovsky -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/00994 Orbital modular equations / Harvey Cohn -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/00995 A mean-value theorem for class numbers of quadratic extensions / Boris A. Datskovsky -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/00998 On a generalization of Farey sequences. I / Francine Delmer and Jean-Marc Deshouillers -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/00996 Sieve auxiliary functions. II / Harold G. Diamond, H. Halberstam and H.-E. Richert -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/00997 A relation between cubic exponential and Kloosterman sums / W. Duke and H. Iwaniec -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/00999 Function theory for Rogers-Ramanujan-like partition identities / Leon Ehrenpreis -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/01000 Forcing two sums simultaneously / P. Erd�os, D. J. Newman and J. Knappenberger -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/01001 Difference polynomials / Ronald J. Evans, Kenneth B. Stolarsky and John J. Wavrik -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/01002 An application of Ehrenpreis's basis method to the Rogers-Ramanujan identities / Jane E. Friedman -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/01003 Extensions of some extremal properties of prime divisors to Poisson limit theorems / Janos Galambos -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/01004 Rational period functions with irrational poles are not Hecke eigenfunctions / Ellen Gethner -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/01005 On the number of Fourier coefficients that determine a modular form / Dorian Goldfeld and Jeffrey Hoffstein -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/01006 An explicit formula of Landau and its applications to the theory of the zeta-function / S. M. Gonek -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/1210528 Multiplicative properties of $\eta $-products. II / Basil Gordon and Kim Hughes -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/01008 Counting subgroups of given index in Hecke groups / Michael Grady and Morris Newman -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/01009 Relatively prime values of polynomials / James Lee Hafner, Peter Sarnak and Kevin McCurley -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/01010 A new proof that every odd triperfect number has at least twelve prime factors / Peter Hagis, Jr. -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/01011 A Hecke-Weil correspondence theorem for automorphic integrals on $\Gamma _0(N)$, with arbitrary rational period functions / John H. Hawkins and Marvin I. Knopp -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/01012 Lagrange's theorem for Hecke triangle groups / J. Lehner -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/01013 Base change and the Birch-Swinnerton-Dyer conjecture / M. Ram Murty and V. Kumar Murty -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/01014 A "natural" proof of the nonvanishing of $L$-series / D. J. Newman -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/01015 Nonexistence of Siegel zeros in towers of radical extensions / Andrew M. Odlyzko and Chris M. Skinner -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/01016 Modular integrals and indefinite binary quadratic forms / L. Alayne Parson -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/01017 Diagonalizing Eisenstein series. II / Robert A. Rankin -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/01018 Multiplier systems for the Hecke groups $G(\sqrt 2)$ and $G(\sqrt 3)$ / David Rosen -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/01019 Low height Hecke triangle group geodesics / Mark Sheingorn -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/01020 On the Shimura lift for Hilbert modular forms / Thomas R. Shemanske and Lynne H. Walling -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/01021 Dirichlet's class-number formula revisited / H. M. Stark -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/01022 Closed form (pun intended!) / Doron Zeilberger -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/01023 Gert Almkvist's generalization of a mistake of Bourbaki / Doron Zeilberger -- http://www.ams.org/conm/143/ http://dx.doi.org/10.1090/conm/143/01024

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Current library	Home library	Call number	Materials specified	URL	Status	Date due	Barcode
IMSc Library	IMSc Library			Link to resource	Available		EBK11425

In appreciation of Emil Grosswald / David Bressoud, Marvin Knopp and Mark Sheingorn -- Ph.D.\ students of Emil Grosswald / Marvin Knopp and Mark Sheingorn -- Publications of Emil Grosswald / Marvin Knopp and Mark Sheingorn -- A rather exact formula for the number of plane partitions / Gert Almkvist -- On Ramanujan's empirical calculation for the Rogers-Ramanujan identities / George E. Andrews -- Integers expressible in a given number of ways as a sum of two squares / Paul T. Bateman -- A theorem of Ramanujan on certain alternating series / Bruce C. Berndt and James Lee Hafner -- Combinatorial equivalence of definitions of the Schur function / David M. Bressoud and Shi-Yuan Wei -- Is there life on finite upper half planes? / Nancy Celniker, Steven Poulos, Audrey Terras, Cindy Trimble and Elinor Velasquez -- Rational period functions for $\mathrm {PSL}(2, \mathbf {Z})$ / Yj. Choie and D. Zagier -- Rational period functions and indefinite binary quadratic forms. III / L. Alayne Parson -- Hypergeometric and modular function identities, and new rational approximations to and continued fraction expansions of classical constants and functions / D. V. Chudnovsky and G. V. Chudnovsky -- Orbital modular equations / Harvey Cohn -- A mean-value theorem for class numbers of quadratic extensions / Boris A. Datskovsky -- On a generalization of Farey sequences. I / Francine Delmer and Jean-Marc Deshouillers -- Sieve auxiliary functions. II / Harold G. Diamond, H. Halberstam and H.-E. Richert -- A relation between cubic exponential and Kloosterman sums / W. Duke and H. Iwaniec -- Function theory for Rogers-Ramanujan-like partition identities / Leon Ehrenpreis -- Forcing two sums simultaneously / P. Erd�os, D. J. Newman and J. Knappenberger -- Difference polynomials / Ronald J. Evans, Kenneth B. Stolarsky and John J. Wavrik -- An application of Ehrenpreis's basis method to the Rogers-Ramanujan identities / Jane E. Friedman -- Extensions of some extremal properties of prime divisors to Poisson limit theorems / Janos Galambos -- Rational period functions with irrational poles are not Hecke eigenfunctions / Ellen Gethner -- On the number of Fourier coefficients that determine a modular form / Dorian Goldfeld and Jeffrey Hoffstein -- An explicit formula of Landau and its applications to the theory of the zeta-function / S. M. Gonek -- Multiplicative properties of $\eta $-products. II / Basil Gordon and Kim Hughes -- Counting subgroups of given index in Hecke groups / Michael Grady and Morris Newman -- Relatively prime values of polynomials / James Lee Hafner, Peter Sarnak and Kevin McCurley -- A new proof that every odd triperfect number has at least twelve prime factors / Peter Hagis, Jr. -- A Hecke-Weil correspondence theorem for automorphic integrals on $\Gamma _0(N)$, with arbitrary rational period functions / John H. Hawkins and Marvin I. Knopp -- Lagrange's theorem for Hecke triangle groups / J. Lehner -- Base change and the Birch-Swinnerton-Dyer conjecture / M. Ram Murty and V. Kumar Murty -- A "natural" proof of the nonvanishing of $L$-series / D. J. Newman -- Nonexistence of Siegel zeros in towers of radical extensions / Andrew M. Odlyzko and Chris M. Skinner -- Modular integrals and indefinite binary quadratic forms / L. Alayne Parson -- Diagonalizing Eisenstein series. II / Robert A. Rankin -- Multiplier systems for the Hecke groups $G(\sqrt 2)$ and $G(\sqrt 3)$ / David Rosen -- Low height Hecke triangle group geodesics / Mark Sheingorn -- On the Shimura lift for Hilbert modular forms / Thomas R. Shemanske and Lynne H. Walling -- Dirichlet's class-number formula revisited / H. M. Stark -- Closed form (pun intended!) / Doron Zeilberger -- Gert Almkvist's generalization of a mistake of Bourbaki / Doron Zeilberger --