Format:
Online-Ressource (VII, 161 p, online resource)
ISBN:
9783662215418
Series Statement:
Lecture Notes in Mathematics, Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn — vol. 16 1471
Content:
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. A new method of p-adic interpolation of these critical values is presented. An important class of p-adic L-functions treated in the present book are p-adic L-functions of Siegel modular forms having logarithmic growth (which were first introduced by Amice, Velu and Vishik in the elliptic modular case when they come from a good supersingular reduction of ellptic curves and abelian varieties). The given construction of these p-adic L-functions uses precise algebraic properties of the arihmetical Shimura differential operator. The book could be very useful for postgraduate students and for non-experts giving a quick access to a rapidly developping domain of algebraic number theory: the arithmetical theory of L-functions and modular forms
Additional Edition:
ISBN 9783540541370
Additional Edition:
Druckausg. Pančiškin, Aleksej A., 1953 - Non-Archimedean L-functions of Siegel and Hilbert modular forms Berlin : Springer, 1991 ISBN 3540541373
Additional Edition:
ISBN 0387541373
Language:
English
Subjects:
Mathematics
Keywords:
Zetafunktion
;
Siegel-Modulform
;
Zetafunktion
;
Hilbertsche Modulform
DOI:
10.1007/978-3-662-21541-8
URL:
Volltext
(lizenzpflichtig)
Author information:
Pančiškin, Aleksej A. 1953-
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