Band 2342
Stable Klingen Vectors and Paramodular Newforms
Aus der Reihe
Lecture Notes in Mathematics
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- Taschenbuch ausgewählt
- eBook
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Sprache:Englisch
Fr. 93.90
inkl. gesetzl. MwSt.,
Beschreibung
Produktdetails
Einband
Taschenbuch
Erscheinungsdatum
27.12.2023
Verlag
SpringerSeitenzahl
362
Maße (L/B/H)
23.5/15.5/2.1 cm
Gewicht
575 g
Auflage
1st ed. 2023
Sprache
Englisch
ISBN
978-3-031-45176-8
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.
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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