Congruences for L-Functions - Couverture rigide

Urbanowicz, J.; Williams, Kenneth S.

Couverture rigide

ISBN 10 : 0792363795 ISBN 13 : 9780792363798

Editeur : Kluwer Academic Publishers, 2000

Synopsis

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 o

Détails de l'édition

• Éditeur: Kluwer Academic Publishers
• Date d'édition: 2000
• Langue: anglais
• ISBN 10: 0792363795
• ISBN 13: 9780792363798
• Reliure: Relié
• Nombre de pages: 268
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne