Theta functions, Bowdoin 1987 / [electronic resource] Leon Ehrenpreis and Robert C. Gunning, editors.

By: Summer Research Institute on Theta Functions (1987 : Brunswick, Me.)Contributor(s): Ehrenpreis, Leon | Gunning, R. C. (Robert Clifford), 1931- | American Mathematical SocietyMaterial type: TextTextSeries: Proceedings of symposia in pure mathematics ; v. 49.2Publication details: Providence, R.I. : American Mathematical Society, c1989Description: 1 online resource (2 v. : ill.)ISBN: 9780821893456 (online)Subject(s): Functions, Theta -- CongressesAdditional physical formats: Theta functions, Bowdoin 1987 /DDC classification: 515/.984 LOC classification: QA345 | .S86 1987Online resources: Contents | Contents
Contents:
Siegel modular forms and theta series / Siegfried B�ocherer -- http://www.ams.org/pspum/049.2 http://dx.doi.org/10.1090/pspum/049.2/1013165 Arithmetic compactification of the Siegel moduli space / Ching-Li Chai -- http://www.ams.org/pspum/049.2 http://dx.doi.org/10.1090/pspum/049.2/1013166 Fourier analysis, partial differential equations, and automorphic functions / Leon Ehrenpreis -- http://www.ams.org/pspum/049.2 http://dx.doi.org/10.1090/pspum/049.2/1013167 Problems on theta functions / Jun-ichi Igusa -- http://www.ams.org/pspum/049.2 http://dx.doi.org/10.1090/pspum/049.2/1013168 On the Fourier coefficients of cusp forms having small positive weight / Marvin I. Knopp -- http://www.ams.org/pspum/049.2 http://dx.doi.org/10.1090/pspum/049.2/1013169 Intersection numbers of cycles on locally symmetric spaces and Fourier coefficients of holomorphic modular forms in several complex variables / John J. Millson -- http://www.ams.org/pspum/049.2 http://dx.doi.org/10.1090/pspum/049.2/1013170 Vector-valued modular forms of weight $(g+j-1)/2$ / Riccardo Salvati Manni -- http://www.ams.org/pspum/049.2 http://dx.doi.org/10.1090/pspum/049.2/1013171 Some nonzero harmonic forms and their geometric duals / Yue Lin Lawrence Tong -- http://www.ams.org/pspum/049.2 http://dx.doi.org/10.1090/pspum/049.2/1013172 Transcendental methods and theta-functions / D. V. Chudnovsky and G. V. Chudnovsky -- http://www.ams.org/pspum/049.2 http://dx.doi.org/10.1090/pspum/049.2/1013173 Singular moduli and modular equations for Fricke's cases / Harvey Cohn -- http://www.ams.org/pspum/049.2 http://dx.doi.org/10.1090/pspum/049.2/1013174 The sums of the Kloosterman sums / N. V. Kuznetsov -- http://www.ams.org/pspum/049.2 http://dx.doi.org/10.1090/pspum/049.2/1013175 The existence of Maass cusp forms and Kloosterman sums / I. I. Piatetski-Shapiro -- http://www.ams.org/pspum/049.2 http://dx.doi.org/10.1090/pspum/049.2/1013176 On the complex Selberg integral / K. Aomoto -- http://www.ams.org/pspum/049.2 http://dx.doi.org/10.1090/pspum/049.2/1013177 Mock theta functions / George E. Andrews -- http://www.ams.org/pspum/049.2 http://dx.doi.org/10.1090/pspum/049.2/1013178 Orthogonal polynomials and theta functions / Richard Askey -- http://www.ams.org/pspum/049.2 http://dx.doi.org/10.1090/pspum/049.2/1013179 The multidimensional $_1\Psi _1$ sum and Macdonald identities for $A^{(1)}_l$ / S. C. Milne -- http://www.ams.org/pspum/049.2 http://dx.doi.org/10.1090/pspum/049.2/1013180
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Proceedings of the Summer Research Institute on Theta Functions held at Bowdoin College, Brunswick, Me., July 6-24, 1987; sponsored by the American Mathematical Society.

Includes bibliographical references.

Siegel modular forms and theta series / Siegfried B�ocherer -- Arithmetic compactification of the Siegel moduli space / Ching-Li Chai -- Fourier analysis, partial differential equations, and automorphic functions / Leon Ehrenpreis -- Problems on theta functions / Jun-ichi Igusa -- On the Fourier coefficients of cusp forms having small positive weight / Marvin I. Knopp -- Intersection numbers of cycles on locally symmetric spaces and Fourier coefficients of holomorphic modular forms in several complex variables / John J. Millson -- Vector-valued modular forms of weight $(g+j-1)/2$ / Riccardo Salvati Manni -- Some nonzero harmonic forms and their geometric duals / Yue Lin Lawrence Tong -- Transcendental methods and theta-functions / D. V. Chudnovsky and G. V. Chudnovsky -- Singular moduli and modular equations for Fricke's cases / Harvey Cohn -- The sums of the Kloosterman sums / N. V. Kuznetsov -- The existence of Maass cusp forms and Kloosterman sums / I. I. Piatetski-Shapiro -- On the complex Selberg integral / K. Aomoto -- Mock theta functions / George E. Andrews -- Orthogonal polynomials and theta functions / Richard Askey -- The multidimensional $_1\Psi _1$ sum and Macdonald identities for $A^{(1)}_l$ / S. C. Milne --

http://www.ams.org/pspum/049.2

http://dx.doi.org/10.1090/pspum/049.2/1013165

http://www.ams.org/pspum/049.2

http://dx.doi.org/10.1090/pspum/049.2/1013166

http://www.ams.org/pspum/049.2

http://dx.doi.org/10.1090/pspum/049.2/1013167

http://www.ams.org/pspum/049.2

http://dx.doi.org/10.1090/pspum/049.2/1013168

http://www.ams.org/pspum/049.2

http://dx.doi.org/10.1090/pspum/049.2/1013169

http://www.ams.org/pspum/049.2

http://dx.doi.org/10.1090/pspum/049.2/1013170

http://www.ams.org/pspum/049.2

http://dx.doi.org/10.1090/pspum/049.2/1013171

http://www.ams.org/pspum/049.2

http://dx.doi.org/10.1090/pspum/049.2/1013172

http://www.ams.org/pspum/049.2

http://dx.doi.org/10.1090/pspum/049.2/1013173

http://www.ams.org/pspum/049.2

http://dx.doi.org/10.1090/pspum/049.2/1013174

http://www.ams.org/pspum/049.2

http://dx.doi.org/10.1090/pspum/049.2/1013175

http://www.ams.org/pspum/049.2

http://dx.doi.org/10.1090/pspum/049.2/1013176

http://www.ams.org/pspum/049.2

http://dx.doi.org/10.1090/pspum/049.2/1013177

http://www.ams.org/pspum/049.2

http://dx.doi.org/10.1090/pspum/049.2/1013178

http://www.ams.org/pspum/049.2

http://dx.doi.org/10.1090/pspum/049.2/1013179

http://www.ams.org/pspum/049.2

http://dx.doi.org/10.1090/pspum/049.2/1013180

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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