A tribute to Emil Grosswald : number theory and related analysis /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Grosswald, Emil (honouree.), Knopp, Marvin Isadore, 1933- (Editor ), Sheingorn, Mark, 1944- (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, [1993]
Colección:Contemporary mathematics (American Mathematical Society) ; 143.
Temas:
Number theory.
Combinatorial analysis.
Théorie des nombres.
Analyse combinatoire.
Combinatorial analysis
Number theory
Festschriften
Festschriften.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Contents
  • Preface
  • In appreciation of Emil Grosswald
  • Ph. D. students of Emil Grosswald
  • Publications of Emil Grosswald
  • A rather exact formula for the number of plane partitions
  • On Ramanujan's empirical calculation for the Rogers-Ramanujan identities
  • Integers expressible in a given number of ways as a sum of two squares
  • A theorem of Ramanujan on certain alternating series
  • Combinatorial equivalence of definitions of the Schur function
  • Is there life on finite upper half planes?
  • Rational period functions for PSL(2, z)
  • Rational period functions and indefinite binary quadratic forms, IIIHypergeometric and modular function identities, and new rational approximationsto and continued fraction expansions of classical constants and functions
  • Orbital modular equations
  • A mean-value theorem for class numbers of quadratic extensions
  • On a generalization of Farey sequences, I
  • Sieve auxiliary functions II
  • A relation between cubic exponential and Kloosterman sums
  • Function theory for Rogers-Ramanujan-like partition identities
  • Forcing two sums simultaneously
  • ""Difference polynomials""""An application of Ehrenpreis's basis method to the Rogers-Ramanujan identities""; ""Extensions of some extremal properties of prime divisors to Poisson limit theorems""; ""Rational period functions with irrational poles are not Heeke eigenfunctions""; ""On the number of Fourier coefficients that determine a modular form""; ""An explicit formula of Landau and its applications to the theory of the zeta-function""; ""Multiplicative properties of η-products II""; ""Counting subgroups of given index in Heeke groups""; ""Relatively prime values of polynomials""
  • ""A new proof that every odd triperfect number has at least twelve prime factors""""A Hecke-Weil correspondence theorem for automorphic integrals on Î?0(N), with arbitrary rational period functions""; ""Lagrange's theorem for Heeke triangle groups""; ""Base change and the Birch-Swinnerton-Dyer conjecture""; ""A ""natural"" proof of the non-vanishing of L-series""; ""Nonexistence of Siegel zeros in towers of radical extensions""; ""Modular integrals and indefinite binary quadratic forms""; ""Diagonalizing Eisenstein series, II""; ""Multiplier systems for the Heeke groups G(â?š2) and G(â?š3)""
  • Low height Heeke triangle group geodesicsOn the Shimura lift for Hilbert modular forms
  • Dirichlet's class-number formula revisited
  • Closed form (pun intended!)
  • Gert Almkvist's generalization of a mistake of Bourbaki

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