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Non-Archimedean L-Functions

of Siegel and Hilbert Modular Forms

  • Book
  • © 1991

Overview

Authors:
  1. Alexey A. Panchishkin

    1. Department of Mathematics, Moscow State University, Moscow, USSR

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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1471)

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Table of contents (6 chapters)

  1. Front Matter

    Pages N2-vii
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  2. Introduction

    • Alexey A. Panchishkin
    Pages 1-8

  3. Acknowledgement

    • Alexey A. Panchishkin
    Pages 8-8

  4. Non-Archimedean analytic functions, measures and distributions

    • Alexey A. Panchishkin
    Pages 9-34

  5. Siegel modular forms and the holomorphic projection operator

    • Alexey A. Panchishkin
    Pages 35-80

  6. Non-Archimedean standard zeta functions of Siegel modular forms

    • Alexey A. Panchishkin
    Pages 81-116

  7. Non-Archimedean convolutions of Hilbert modular forms

    • Alexey A. Panchishkin
    Pages 117-145

  8. Back Matter

    Pages 146-161
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Keywords

About this book

1) p n=1 The set of arguments s for which ((s) is defined can be extended to all s E C,s :f:. 1, and we may regard C as the group of all continuous quasicharacters C = Hom(R~, c>

Reviews

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 second version is the use of arithmetical nearly holomorphic Siegel modular forms … . The book will be very useful for postgraduate students and researchers entering this difficult area of research." (Andrzej Dabrowski, Zentralblatt MATH, Vol. 1070, 2005)

Authors and Affiliations

  • Department of Mathematics, Moscow State University, Moscow, USSR

    Alexey A. Panchishkin

Bibliographic Information

  • Book Title: Non-Archimedean L-Functions

  • Book Subtitle: of Siegel and Hilbert Modular Forms

  • Authors: Alexey A. Panchishkin

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/978-3-662-21541-8

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1991

  • eBook ISBN: 978-3-662-21541-8Published: 11 November 2013

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VII, 161

  • Additional Information: Originally published under: Panchishkin, A.A.

  • Topics: Number Theory, Algebraic Geometry

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