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Non-Archimedean L-Functions and Arithmetical Siegel Modular Forms

by Michel Courtieu
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Current price ₹2,544.00
Original price ₹3,913.00
Original price ₹3,913.00
Original price ₹3,913.00
(-35%)
₹2,544.00
Current price ₹2,544.00

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Book cover type: Paperback
  • ISBN13: 9783540407294
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 204
  • Original Price: EUR 34.95
  • Language: English
  • Edition: 1991
  • Item Weight: 328 grams
  • BISAC Subject(s): Number Theory and Geometry / Algebraic

From the Back Cover

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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