Format:
Online-Ressource (VIII, 204 p, online resource)
ISBN:
9783540451785
Series Statement:
Lecture Notes in Mathematics 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 9783540407294
Additional Edition:
Erscheint auch als Druck-Ausgabe Courtieu, Michel Non-Archimedean l-functions and arithmetical Siegel modular forms Berlin : Springer, 2004 ISBN 3540407294
Additional Edition:
ISBN 9783540407294
Language:
English
Subjects:
Mathematics
Keywords:
Siegel-Modulform
;
L-Funktion
URL:
Volltext
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