Contemporary Mathematics 1993; 612 pp; softcover Volume: 143 ISBN10: 0821851551 ISBN13: 9780821851555 List Price: US$96 Member Price: US$76.80 Order Code: CONM/143
 Emil Grosswald was a mathematician of great accomplishment and remarkable breadth of vision. This volume pays tribute to the span of his mathematical interests, which is reflected in the wide range of papers collected here. With contributions by leading contemporary researchers in number theory, modular functions, combinatorics, and related analysis, this book will interest graduate students and specialists in these fields. The high quality of the articles and their close connection to current research trends make this volume a must for any mathematics library. Readership Graduate students and specialists in number theory, modular functions, combinatorics and related analysis. Table of Contents  In appreciation of Emil Grosswald; Ph.D. students of Emil Grosswald; Publications of Emil Grosswald
 M. I. Knopp and M. Sheingorn  Preface
 G. Almkvist  A rather exact formula for the number of plane partitions
 G. E. Andrews  On Ramanujan's empirical calculation for the RogersRamanujan identities
 P. T. Bateman  Integers expressible in a given number of ways as a sum of two squares
 B. C. Berndt and J. L. Hafner  A theorem of Ramanujan on certain alternating series
 D. M. Bressoud and S.Y. Wei  Combinatorial equivalence of definitions of the Schur function
 N. Celnicker, S. Poulos, A. Terras, C. Trimble, and E. Velasquez  Is there life on finite upper half planes?
 Y. Choie and D. Zagier  Rational period functions for \(PSL(2,{\mathbb Z})\)
 L. A. Parson  Rational period functions and indefinite binary quadratic forms, III
 D. V. Chudnovsky and G. V. Chudnovsky  Hypergeometric and modular function identities, and new rational approximations to and continued fraction expansions of classical constants and functions
 H. Cohn  Orbital modular equations
 B. A. Datskovsky  A meanvalue theorem for class numbers of quadratic extensions
 F. Delmer and J.M. Deshouillers  On a generalization of Farey sequences I
 H. G. Diamond, H. Halberstam, and H.E. Richert  Sieve auxiliary functions II
 W. D. Duke and H. Iwaniec  A relation between cubic exponential and Kloosterman sums
 L. Ehrenpreis  Function theory for RogersRamanujanlike partition identities
 P. Erdös, D. J. Newman, and J. C. Knappenberger  Forcing two sums simultaneously
 R. J. Evans, K. B. Stolarsky, and J. J. Wavrik  Difference polynomials
 J. E. Friedman  An application of Ehrenpreis's basis method to the RogersRamanujan identities
 J. Galambos  Extensions of some extremal properties of prime divisors to Poisson limit theorems
 E. Gethner  Rational period functions with irrational poles are not Hecke eigenfunctions
 D. Goldfeld and J. Hoffstein  On the number of Fourier coefficients that determine a modular form
 S. M. Gonek  An explicit formula of Landau and its applications to the theory of the zetafunction
 B. Gordon and K. Hughes  Multiplicative properties of \(\eta\)products II
 M. Grady and M. Newman  Counting subgroups of given index in Hecke groups
 J. L. Hafner, P. Sernak, and K. McCurley  Relatively prime values of polynomials
 P. Hagis, Jr.  A new proof that every odd triperfect number has at least twelve prime factors
 J. H. Hawkins and M. I. Knopp  A HeckeWeil correspondence theorem for automorphic integrals on \(\Gamma _0(N)\), with arbitrary rational period functions
 J. Lehner  Lagrange's theorem for Hecke triangle groups
 M. R. Murty and V. K. Murty  Base change and the BirchSwinnertonDyer conjecture
 D. J. Newman  A "natural" proof of the nonvanishing of Lseries
 A. M. Odlyzko and C. M. Skinner  Nonexistence of Siegel zeros in towers of radical extensions
 L. A. Parson  Modular integrals and indefinite binary quadratic forms
 R. A. Rankin  Diagonalizing Eisenstein series, II
 D. Rosen  Multiplier systems for the Hecke groups \(G(\sqrt 2)\) and \(G(\sqrt 3)\)
 M. Sheingorn  Low height Hecke triangle group geodesics
 T. R. Shemanske and L. H. Walling  On the Shimura lift for Hilbert modular forms
 H. M. Stark  Dirichlet's classnumber formula revisited
 D. Zeilberger  Closed form (pun intended!)
 D. Zeilberger  Gert Almkvist's generalization of a mistake of Bourbaki
