On Special L-Values Attached to Siegel Modular Forms

Bouganis, A.

doi:10.1007/978-3-642-55245-8_4

On Special L-Values Attached to Siegel Modular Forms

Bouganis, A.

Authors

Professor Athanasios Bouganis athanasios.bouganis@durham.ac.uk
Professor

Contributors

Professor Athanasios Bouganis athanasios.bouganis@durham.ac.uk
Editor

O. Venjakob
Editor

Abstract

In his admirable book “Arithmeticity in the Theory of Automorphic Forms” Shimura establishes various algebraicity results concerning special values of Siegel modular forms. These results are all stated over an algebraic closure of Q . In this article we work out the field of definition of these special values. In this way we extend some previous results obtained by Sturm, Harris, Panchishkin, and Böcherer-Schmidt.

Citation

Bouganis, A. (2014). On Special L-Values Attached to Siegel Modular Forms. In A. Bouganis, & O. Venjakob (Eds.), Iwasawa theory 2012 : state of the art and recent advances (135-176). Springer Verlag. https://doi.org/10.1007/978-3-642-55245-8_4

Publication Date	Nov 12, 2014
Deposit Date	Oct 4, 2013
Publisher	Springer Verlag
Pages	135-176
Series Title	Contributions in mathematical and computational sciences
Book Title	Iwasawa theory 2012 : state of the art and recent advances.
DOI	https://doi.org/10.1007/978-3-642-55245-8_4