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9780521493543

Modular Forms on Schiermonnikoog

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  • ISBN13:

    9780521493543

  • ISBN10:

    0521493544

  • Edition: 1st
  • Format: Hardcover
  • Copyright: 2008-12-22
  • Publisher: Cambridge University Press

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Summary

This collection of up-to-date articles originated from the conference 'Modular Forms' held on the Island of Schiermonnikoog in the Netherlands. A broad range of topics is covered including Hilbert and Siegel modular forms, Weil representations, Tannakian categories and Torelli's theorem. This book is a good source for all researchers and graduate students working on modular forms or related areas of number theory and algebraic geometry.

Table of Contents

Preface
Contributors
Modular forms
On the basis problem for Siegel modular forms with level
Mock theta functions, weak Maass forms, and applications
Sign changes of coefficients of half integral weight modular forms
Gauss map on the theta divisor and Green's functions
A control theorem for the images of Galois actions on certain infinite families of modular forms
Galois realizations of families of Projective Linear Groups via cusp forms
A strong symmetry property of Eisenstein series
A conjecture on a Shimura type correspondence for Siegel modular forms, and Harder's conjecture on congruences
Petersson's trace formula and the Hecke eigenvalues of Hilbert modular forms
Modular shadows and the Levy-Mellin -adic transform
Jacobi forms of critical weight and Weil representations
Tannakian categories attached to abelian varieties
Torelli's theorem from the topological point of view
Existence of Whittaker models related to four dimensional symplectic Galois representations
Multiplying modular forms
On projective linear groups over finite fields
Table of Contents provided by Publisher. All Rights Reserved.

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