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Modular forms on schiermonnikoog /
Modular forms are functions with an enormous amount of symmetry that play a central role in number theory, connecting it with analysis and geometry. They have played a prominent role in mathematics since the 19th century and their study continues to flourish today. Modular forms formed the inspirati...
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2008.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Half-title; Title; Copyright; Contents; Preface; Contributors; Chapter 1 Modular Forms; Chapter 2 On the basis problem for Siegel modular forms with level; Chapter 3 Mock theta functions, weak Maass forms, and applications; Chapter 4 Sign changes of coefficients of half integral weight modular forms; Chapter 5 Gauss map on the theta divisor and Green's functions; Chapter 6 A control theorem for the images of Galois actions on certain infinite families of modular forms; Chapter 7 Galois realizations of families of Projective Linear Groups via cusp forms
- Chapter 8 A strong symmetry property of Eisenstein seriesChapter 9 A conjecture on a Shimura type correspondence for Siegel modular forms, and Harder's conjecture on congruences; Chapter 10 Petersson's trace formula and the Hecke eigenvalues of Hilbert modular forms; Chapter 11 Modular shadows and the Lévy-Mellin ...-adic transform; Chapter 12 Jacobi forms of critical weight and Weil representations; Chapter 13 Tannakian Categories attached to abelian varieties; Chapter 14 Torelli's theorem from the topological point of view
- Chapter 15 Existence of Whittaker models related to four dimensional symplectic Galois representationsChapter 16 Multiplying Modular Forms; Chapter 17 On projective linear groups over finite fields as Galois groups over the rational numbers