| 书目名称 | Stable Klingen Vectors and Paramodular Newforms |
| 编辑 | Jennifer Johnson-Leung,Brooks Roberts,Ralf Schmidt |
| 视频video | |
| 概述 | Introduces an important new family of congruence subgroups of GSp(4).Reveals a new dichotomy for paramodular representations.Connects Fourier coefficients and Hecke eigenvalues of paramodular newforms |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | 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.. |
| 出版日期 | Book 2023 |
| 关键词 | Siegel Modular Forms; Siegel Modular Newforms; Siegel Modular Forms with Paramodular Level; Stable Klin |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-45177-5 |
| isbn_softcover | 978-3-031-45176-8 |
| isbn_ebook | 978-3-031-45177-5Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 19:09:22
