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Stable Klingen Vectors and Paramodular Newforms

By Jennifer Johnson-Leung

Product Image: Stable Klingen Vectors and Paramodular Newforms

Stable Klingen Vectors and Paramodular Newforms

By Jennifer Johnson-Leung

0 - Default Title
Description
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.
Product details
Binding:
Paperback
Edition:
1
Number of Pages:
380
Release Date:
2023-12-27
Publication Date:
2023-12-27
Publisher:
Springer
Languages:
Original: English
ISBN10:
3031451767
ISBN13:
9783031451768
GPSR Manufacturer Reference:
[email protected]
Weight:
575 g
Height:
155 cm
Width:
235 cm
Thickness:
21 cm
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