Titlebook: Stable Klingen Vectors and Paramodular Newforms; Jennifer Johnson-Leung,Brooks Roberts,Ralf Schmidt Book 2023 The Editor(s) (if applicable

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Book 2023have 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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0075-8434 r coefficients and Hecke eigenvalues of paramodular newformsThis 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 t

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Book 2023ngen 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

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BackgroundIn this chapter we recall some essential definitions and results concerning the group . over a nonarchimedean local field of characteristic zero and its representation theory. We also review the theory of paramodular vectors.

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