Beschreibung:
This book is devoted to the arithmetical theory of Siegel modular forms and their L-functions. The central object are L-functions of classical Siegel modular forms whose special values are studied using the Rankin-Selberg method and the action of certain differential operators on modular forms which have nice arithmetical properties.
Introduction.- Non-Archimedean analytic functions, measures and distributions.- Siegel modular forms and the holomorphic projection operator.- Arithmetical differential operators on nearly holomorphic Siegel modular forms.- Admissible measures for standard L-functions and nearly holomorphic Siegel modular forms.