Siegel Modular Forms A Classical and Representation-Theoretic Approach /

• Κύριος συγγραφέας: Pitale, Ameya (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Έκδοση: 1st ed. 2019.
• Σειρά: Lecture Notes in Mathematics, 2240
• Θέματα: Number theory.; Group theory.; Number Theory.; Group Theory and Generalizations.

This monograph introduces two approaches to studying Siegel modular forms: the classical approach as holomorphic functions on the Siegel upper half space, and the approach via representation theory on the symplectic group. By illustrating the interconnections shared by the two, this book fills an im...

Πίνακας περιεχομένων:

• Introduction
• Lecture 1:Introduction to Siegel modular forms
• Lecture 2: Examples
• Lecture 3: Hecke Theory and L-functions
• Lecture 4: Non-vanishing of primitive Fourier coefficients and applications
• Lecture 5: Applications of properties of L-functions
• Lecture 6: Cuspidal automorphic representations corresponding to Siegel modular forms
• Lecture 7: Local representation theory of GSp4(ℚp)
• Lecture 8: Bessel models and applications
• Lecture 9: Analytic and arithmetic properties of GSp4 x GL2 L-functions
• Lecture 10: Integral representation of the standard L-function.