BÜCHER VERSANDKOSTENFREI INNERHALB DEUTSCHLANDS
eBook
Stable Klingen Vectors and Paramodular Newforms
Springer Nature Switzerland
ISBN 978-3-031-45177-5
Standardpreis
Bibliografische Daten
eBook. PDF
2023
XVII, 362 p..
In englischer Sprache
Umfang: 362 S.
Verlag: Springer Nature Switzerland
ISBN: 978-3-031-45177-5
Weiterführende bibliografische Daten
Das Werk ist Teil der Reihe: Lecture Notes in Mathematics Mathematics and Statistics (R0) Mathematics and Statistics
Produktbeschreibung
This book describes a novel approach to the study of Siegel modular forms of degree two with paramodular level. It introduces the family of stable Klingen congruence subgroups of GSp(4) and uses this family to obtain new relations between the Hecke eigenvalues and Fourier coefficients of paramodular newforms, revealing a fundamental dichotomy for paramodular representations. Among other important results, it includes a complete description of the vectors fixed by these congruence subgroups in all irreducible representations of GSp(4) over a nonarchimedean local field.
Siegel paramodular forms have connections with the theory of automorphic representations and the Langlands program, Galois representations, the arithmetic of abelian surfaces, and algorithmic number theory. Providing a useful standard source on the subject, the book will be of interest to graduate students and researchers working in the above fields.
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