Abstract
In this chapter we give explicit formulas for the special values of the standard zeta function D(s, f, χ) of a Siegel cusp form f of even degree m and of weight κ >2m + 2 with a Dirichlet character ψ; using these formulae we construct then a non-Archimedean interpolation of the special values.
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Panchishkin, A.A. (1991). Non-Archimedean standard zeta functions of Siegel modular forms. In: Non-Archimedean L-Functions of Siegel and Hilbert Modular Forms. Lecture Notes in Mathematics, vol 1471. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21541-8_5
Download citation
DOI: https://doi.org/10.1007/978-3-662-21541-8_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54137-0
Online ISBN: 978-3-662-21541-8
eBook Packages: Springer Book Archive