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Stable Klingen Vectors and Paramodular Newforms

By (author) Jennifer Johnson-Leung, By (author) Brooks Roberts, By (author) Ralf Schmidt

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normal price: R 2 086.95

Price: R 1 878.95


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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.

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Normally shipped | This title will take longer to obtain, and should be delivered in 6-8 weeks
Publisher | Springer International Publishing AG
Published date | 27 Dec 2023
Language |
Format | Paperback / softback
Pages | 362
Dimensions | 235 x 155 x 0mm (L x W x H)
Weight | 0g
ISBN | 978-3-0314-5176-8
Readership Age |
BISAC | mathematics / number theory


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Normally shipped | Available from overseas. Usually dispatched in 14 days
Readership Age |
Normal Price | R 2 691.95
Price | R 2 422.95 | on special |



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