| Description |
1 online resource (624 pages) : illustrations |
| Series |
Contemporary mathematics, 0271-4132 ; 143 |
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Contemporary mathematics (American Mathematical Society) ; 143.
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| Contents |
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) |
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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 |
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""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"" |
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""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)"" |
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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 |
| Notes |
Print version record |
| Subject |
Number theory.
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Combinatorial analysis.
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Combinatorial analysis
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Number theory
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| Genre/Form |
Festschriften
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Festschriften.
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| Form |
Electronic book
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| Author |
Grosswald, Emil, honouree
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Knopp, Marvin Isadore, 1933- editor.
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Sheingorn, Mark, 1944- editor.
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| ISBN |
9780821877340 |
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0821877348 |
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