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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Number theory

• Plný název: Stable Klingen Vectors and Paramodular Newforms
• Autor: Jennifer Johnson-Leung, Brooks Roberts, Ralf Schmidt
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 310
• EAN: 9783031451768
• ID: 44048062
• Nakladatelství: Springer, Berlin
• Rozměry: 235 × 155 mm
• Datum vydání: 01. February 2024

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