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Congruences for L-functions

By: Contributor(s): Material type: TextTextLanguage: English Series: Mathematics and its Applications ; 511Publication details: Dordrecht Kluwer Academic Publishers 2000Description: xii, 256pISBN:
  • 0792363795 (HB)
Subject(s):
Contents:
I. Short Character Sums.- II. Class Number Congruences.- III. Congruences between the Orders of K2-Groups.- IV Congruences among the Values of 2-Adic L-Functions.- V. Applications of Zagier’s Formula (I).- VI. Applications of Zagier’s Formula (II)
Summary: This book provides a comprehensive and up-to-date treatment of research carried out in the last twenty years on congruences involving the values of L-functions (attached to quadratic characters) at certain special values." "There is no other book on the market which deals with this subject. The book presents in a unified way congruences found by many authors over the years from the classical ones of Gauss and Dirichlet to the recent ones of Gras, Vehara and others." "The book is aimed at graduate students and researchers interested in (analytic) number theory, functions of a complex variable and special functions.
Item type: BOOKS
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IMSc Library 511.331 URB (Browse shelf(Opens below)) Available 48020

Includes index

Includes bibliography (p. 231-246) and references

I. Short Character Sums.- II. Class Number Congruences.- III. Congruences between the Orders of K2-Groups.- IV Congruences among the Values of 2-Adic L-Functions.- V. Applications of Zagier’s Formula (I).- VI. Applications of Zagier’s Formula (II)

This book provides a comprehensive and up-to-date treatment of research carried out in the last twenty years on congruences involving the values of L-functions (attached to quadratic characters) at certain special values." "There is no other book on the market which deals with this subject. The book presents in a unified way congruences found by many authors over the years from the classical ones of Gauss and Dirichlet to the recent ones of Gras, Vehara and others." "The book is aimed at graduate students and researchers interested in (analytic) number theory, functions of a complex variable and special functions.

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The Institute of Mathematical Sciences, Chennai, India