Congruences for L-Functions (Mathematics and Its Applications)

[J. Urbanowicz, Kenneth S. Williams] Ñ Congruences for L-Functions (Mathematics and Its Applications) ↠ Read Online eBook or Kindle ePUB. Congruences for L-Functions (Mathematics and Its Applications) Let d be the discriminant of a quadratic field. Summing this congruence for o < k < Idl/8, gcd(k, d) = 1, gives (-It(e) () =:O(mod2n). Then, for any positive integer k coprime with d, the congruence holds trivially as each Legendre-Jacobi-Kronecker symbol () has the value + 1 or -1. 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 unif

Congruences for L-Functions (Mathematics and Its Applications)

Author :
Rating : 4.92 (674 Votes)
Asin : 9048154901
Format Type : paperback
Number of Pages : 256 Pages
Publish Date : 2017-12-26
Language : English

DESCRIPTION:

I learned a lot." (Dan Ryder, University of Connecticut, U.S.A., Synthese141:2). "This is a very rich and exceedingly well-written book

Let d be the discriminant of a quadratic field. Summing this congruence for o < k < Idl/8, gcd(k, d) = 1, gives (-It(e) () =:O(mod2n). Then, for any positive integer k coprime with d, the congruence holds trivially as each Legendre-Jacobi-Kronecker symbol () has the value + 1 or -1. 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. Expanding this product gives eld e:=l (mod4) wher

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. Professor Theo Kuipers is the author of From Instrumentalism toConstructive Realism (Synthese Library 287, 2000). He is the leader of the Groningen Research Group `Cognitive Structures in Knowledge and Knowledge Development', which gained the highest possible scores in two successive assessments of Dutch philosophical research by international committees

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