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Michel Courtieu - Non-Archimedean L-functions and Arithmetical Siegel Modular Forms - 9783540407294 - V9783540407294
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Non-Archimedean L-functions and Arithmetical Siegel Modular Forms

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Description for Non-Archimedean L-functions and Arithmetical Siegel Modular Forms Paperback. This book, now in its 2nd edition, is devoted to the arithmetical theory of Siegel modular forms and their L-functions. Series: Lecture Notes in Mathematics. Num Pages: 212 pages, biography. BIC Classification: PBH. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 234 x 156 x 11. Weight in Grams: 305.

This book, now in its 2nd edition, 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. The given construction of these p-adic L-functions uses precise algebraic properties of the arithmetical ... Read more

The book will be very useful for postgraduate students and for non-experts looking for a quick approach to a rapidly developing domain of algebraic number theory. This new edition is substantially revised to account for the new explanations that have emerged in the past 10 years of the main formulas for special L-values in terms of arithmetical theory of nearly holomorphic modular forms.

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Product Details

Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
212
Format
Paperback
Publication date
2009
Series
Lecture Notes in Mathematics
Condition
New
Number of Pages
204
Place of Publication
Berlin, Germany
ISBN
9783540407294
SKU
V9783540407294
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15

Reviews for Non-Archimedean L-functions and Arithmetical Siegel Modular Forms
From the reviews of the second edition: "The book is an updated version of the book ‘Non-Archimedean L-Functions of Hilbert and Siegel Modular Forms’ by Alexei Panchishkin published in 1991 … . The main subject of the book is the p-adic theory of L-functions of Siegel modular forms. … The basic new feature of this ... Read more

Goodreads reviews for Non-Archimedean L-functions and Arithmetical Siegel Modular Forms


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