| |
|
| Artikel-Nr.: 5667A-9783031451768 Herst.-Nr.: 9783031451768 EAN/GTIN: 9783031451768 |
| |
|
| | |
| 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. Weitere Informationen: | | Author: | Jennifer Johnson-Leung; Brooks Roberts; Ralf Schmidt | Verlag: | Springer International Publishing | Sprache: | eng |
|
| | |
| | | |
| Weitere Suchbegriffe: Siegel Modular Forms, Siegel Modular Newforms, Siegel Modular Forms with Paramodular Level, Stable Klingen Vectors, Klingen Vectors, Paramodular Hecke Operators, Hecke Operators on Siegel Modular Forms, Hecke Eigenvalues for Paramodular Newforms, Hecke Eigenvalues for Siegel Modular Forms, Fourier Coefficients of Paramodular Newforms, Fourier Coefficients of Siegel Modular Newforms |
| | |
| |