An Introduction to G-Functions. (AM-133), Volume 133 /

An Introduction to G-Functions. (AM-133), Volume 133 / / Bernard Dwork, Francis J. Sullivan, Giovanni Gerotto.

Written for advanced undergraduate and first-year graduate students, this book aims to introduce students to a serious level of p-adic analysis with important implications for number theory. The main object is the study of G-series, that is, power series y=aij=0 Ajxj with coefficients in an algebrai...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
VerfasserIn:
Dwork, Bernard,
Gerotto, Giovanni,
Sullivan, Francis J.,
MitwirkendeR:
Dwork, B.,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©1994
Year of Publication:2016
Language:English
Series:Annals of Mathematics Studies ; 133
Online Access:
Physical Description:1 online resource (352 p.) :; 22 figs.
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Table of Contents:
  • Frontmatter
  • CONTENTS
  • PREFACE
  • INTRODUCTION
  • LIST OF SYMBOLS
  • CHAPTER I. VALUED FIELDS
  • CHAPTER II. ZETA FUNCTIONS
  • CHAPTER III. DIFFERENTIAL EQUATIONS
  • CHAPTER IV. EFFECTIVE BOUNDS. ORDINARY DISKS
  • CHAPTER V. EFFECTIVE BOUNDS. SINGULAR DISKS
  • CHAPTER VI. TRANSFER THEOREMS INTO DISKS WITH ONE SINGULARITY
  • CHAPTER VII. DIFFERENTIAL EQUATIONS OF ARITHMETIC TYPE
  • CHAPTER VIII. G-SERIES. THE THEOREM OF CHUDNOVSKY
  • APPENDIX I. CONVERGENCE POLYGON FOR DIFFERENTIAL EQUATIONS
  • APPENDIX II. ARCHIMEDEAN ESTIMATES
  • APPENDIX III. CAUCHY'S THEOREM
  • BIBLIOGRAPHY
  • INDEX

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