Congruences for L-Functions by Kenneth S. Williams (English) Paperback Book-image

Congruences for L-Functions by Kenneth S. Williams (English) Paperback Book

$ 57.49

ISBN: 9789048154906 gtin13: 9789048154906 ISBN-13: 9789048154906 Book Title: Congruences for L-Functions

Description

The Nile on eBay FREE SHIPPING UK WIDE Congruences for L-Functions by Kenneth S. Williams, J. Urbanowicz Expanding this product gives ~ eld e:=l (mod4) where e runs through the positive and negative divisors of d and v (e) denotes the number of distinct prime factors of e. Summing this congruence for o < k < Idl/8, gcd(k, d) = 1, gives ~ (-It(e) ~ (~) =:O(mod2n). FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description 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. Audience: This book is aimed at graduate students and researchers interested in (analytic) number theory, functions of a complex variable and special functions. Notes Springer Book Archives Table of 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).- Author Index.- List of symbols. Promotional Springer Book Archives Long Description In [Hardy and Williams, 1986] the authors exploited a very simple idea to obtain a linear congruence involving class numbers of imaginary quadratic fields modulo a certain power of 2. Their congruence provided a unified setting for many congruences proved previously by other authors using various means. The Hardy-Williams idea was as follows. Let d be the discriminant of a quadratic field. Suppose that d is odd and let d = PIP2 Details ISBN 9048154901 Author J. Urbanowicz Publisher Springer Year 2010 ISBN-10 9048154901 ISBN-13 9789048154906 Format Paperback Imprint Springer Place of Publication Dordrecht Country of Publication Netherlands DEWEY 510 Edition 1st Short Title CONGRUENCES FOR L-FUNCTIONS Language English Media Book Series Number 511 Pages 256 Illustrations XII, 256 p. Series Mathematics and Its Applications Publication Date 2010-12-15 Edition Description Softcover reprint of hardcover 1st ed. 2000 Alternative 9780792363798 Audience Professional & Vocational Country of Origin NL Product Class Description Mathematics We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! 30 DAY RETURN POLICY No questions asked, 30 day returns! FREE DELIVERY No matter where you are in the UK, delivery is free. SECURE PAYMENT Peace of mind by paying through PayPal and eBay Buyer Protection TheNile_Item_ID:137639500;

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