Stable Klingen Vectors and Paramodular Newforms Paperback / softback
by Jennifer Johnson-Leung, Brooks Roberts, Ralf Schmidt
Part of the Lecture Notes in Mathematics series
Paperback / softback
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.
Information
-
Out of stock
- Format:Paperback / softback
- Pages:362 pages, XVII, 362 p.
- Publisher:Springer International Publishing AG
- Publication Date:27/12/2023
- Category:
- ISBN:9783031451768
Information
-
Out of stock
- Format:Paperback / softback
- Pages:362 pages, XVII, 362 p.
- Publisher:Springer International Publishing AG
- Publication Date:27/12/2023
- Category:
- ISBN:9783031451768
