Alexei A. Panchishkin

Non-Archimedean L-Functions (eBook, PDF)

of Siegel and Hilbert Modular Forms

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 161
• Erscheinungstermin: 11. November 2013
• Englisch
• ISBN-13: 9783662215418
• Artikelnr.: 53397446