Congruences for L-Functions - Couverture rigide

Urbanowicz, J.; Williams, Kenneth S.

9780792363798: Congruences for L-Functions

Couverture rigide

ISBN 10 : 0792363795 ISBN 13 : 9780792363798

Editeur : Springer, 2000

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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

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�diteur: Springer
Date d'�dition: 2000
Langue: anglais
ISBN 10: 0792363795
ISBN 13: 9780792363798
Reliure: Reli�
Nombre de pages: 256
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Congruences for L-Functions

J. Urbanowicz|Kenneth S. Williams

Edit� par Springer Netherlands, 2000

ISBN 10 : 0792363795 ISBN 13 : 9780792363798

Neuf Couverture rigide

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Gebunden. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 p. N� de r�f. du vendeur 5969379

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Congruences for L-Functions

Kenneth S. Williams

Edit� par Springer Netherlands Jun 2000, 2000

ISBN 10 : 0792363795 ISBN 13 : 9780792363798

Neuf Couverture rigide

impression � la demande

Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne

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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - 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 o k Idl/8, gcd(k, d) = 1, gives ~ (-It(e) ~ (~) =:O(mod2n). eld o 276 pp. Englisch. N� de r�f. du vendeur 9780792363798

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Congruences for L-Functions (Mathematics and Its Applications, 511)

Urbanowicz, J.; Williams, Kenneth S.

Edit� par Springer, 2000

ISBN 10 : 0792363795 ISBN 13 : 9780792363798

Neuf Couverture rigide

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Congruences for L-Functions

Kenneth S. Williams

Edit� par Springer Netherlands, Springer Netherlands Jun 2000, 2000

ISBN 10 : 0792363795 ISBN 13 : 9780792363798

Neuf Couverture rigide

Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne

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Buch. Etat : Neu. 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 o 276 pp. Englisch. N� de r�f. du vendeur 9780792363798

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Congruences for L-Functions

Urbanowicz, Jerzy; Williams, Kenneth S.

Edit� par Springer, 2000

ISBN 10 : 0792363795 ISBN 13 : 9780792363798

Neuf Couverture rigide

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Congruences for L-Functions

Kenneth S. Williams

Edit� par Springer Netherlands, Springer Netherlands, 2000

ISBN 10 : 0792363795 ISBN 13 : 9780792363798

Neuf Couverture rigide

Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 k Idl/8, gcd(k, d) = 1, gives ~ (-It(e) ~ (~) =:O(mod2n). eld o. N� de r�f. du vendeur 9780792363798

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