Name: non-archimedean l-functions and arithmetical siegel modular forms
SKU: 3484531
Price: 41.55 EUR
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Author: courtieu,panchishkin
ISBN: 9783540407294

portada non-archimedean l-functions and arithmetical siegel modular forms

non-archimedean l-functions and arithmetical siegel modular forms

Type

Physical Book

Publisher

Springer

Author

courtieu,panchishkin

Language

English

Pages

196

ISBN

3540407294

ISBN13

9783540407294

Synopsis "non-archimedean l-functions and arithmetical siegel modular forms"

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 shimura differential operator. 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.