Congruences for L-Functions

Language: English

Published by Springer, Springer Jun 2000, 2000

0792363795 / 9780792363798

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This item is printed on demand - Print on Demand Titel. Neuware -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 . . Pn be its unique decomposition into prime discriminants. 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. 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 oSpringer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 276 pp. Englisch.

Title
Congruences for L-Functions
Author
J. Urbanowicz
Publisher
Springer, Springer Jun 2000
Publication year
2000
Condition
Neu
Binding
Buch
Language
English
ISBN 10
0792363795
ISBN 13
9780792363798
Item weight
582 grams
Dimensions
241x160x20 mm

buchversandmimpf2000

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