Congruences for L-Functions (Mathematics and Its Applications)
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Bester Preis: € 25,97 (vom 08.03.2017)1
Congruences for L-Functions (2010)
NL PB NWISBN: 9789048154906 bzw. 9048154901, in Holländisch, Springer, Taschenbuch, neu.
Lieferung aus: Niederlande, 5-10 werkdagen.
bol.com.
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, ... 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 Idl/8, gcd(k, d) = 1, gives ~ (-It(e) ~ (~) =:O(mod2n). eld oTaal: Engels;Afmetingen: 14x234x156 mm;Gewicht: 421,00 gram;Verschijningsdatum: december 2010;ISBN10: 9048154901;ISBN13: 9789048154906; Engelstalig | Paperback | 2010.
bol.com.
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, ... 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 Idl/8, gcd(k, d) = 1, gives ~ (-It(e) ~ (~) =:O(mod2n). eld oTaal: Engels;Afmetingen: 14x234x156 mm;Gewicht: 421,00 gram;Verschijningsdatum: december 2010;ISBN10: 9048154901;ISBN13: 9789048154906; Engelstalig | Paperback | 2010.
2
Congruences for L-Functions (Mathematics and Its Applications) (2009)
EN PB NWISBN: 9789048154906 bzw. 9048154901, in Englisch, 272 Seiten, Springer Netherlands, Taschenbuch, neu.
Lieferung aus: Vereinigtes Königreich Großbritannien und Nordirland, Usually dispatched within 1-2 business days, exclusief verzendkosten (indien geleverd).
Von Händler/Antiquariat, bookmusicfilm.
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. Paperback, Editie: Softcover reprint of hardcover 1st ed. 2000, Label: Springer Netherlands, Springer Netherlands, Productgroep: Book, Gepubliceerd: 2009-12-28, Releasedatum: 2009-12-28, Studio: Springer Netherlands.
Von Händler/Antiquariat, bookmusicfilm.
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. Paperback, Editie: Softcover reprint of hardcover 1st ed. 2000, Label: Springer Netherlands, Springer Netherlands, Productgroep: Book, Gepubliceerd: 2009-12-28, Releasedatum: 2009-12-28, Studio: Springer Netherlands.
3
Congruences for L-Functions (Mathematics and Its Applications) (2009)
EN PB USISBN: 9789048154906 bzw. 9048154901, in Englisch, 272 Seiten, Springer Netherlands, Taschenbuch, gebraucht.
Lieferung aus: Vereinigtes Königreich Großbritannien und Nordirland, Usually dispatched within 1-2 business days, exclusief verzendkosten (indien geleverd).
Von Händler/Antiquariat, Herb Tandree Philosophy Books.
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. Paperback, Editie: Softcover reprint of hardcover 1st ed. 2000, Label: Springer Netherlands, Springer Netherlands, Productgroep: Book, Gepubliceerd: 2009-12-28, Releasedatum: 2009-12-28, Studio: Springer Netherlands.
Von Händler/Antiquariat, Herb Tandree Philosophy Books.
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. Paperback, Editie: Softcover reprint of hardcover 1st ed. 2000, Label: Springer Netherlands, Springer Netherlands, Productgroep: Book, Gepubliceerd: 2009-12-28, Releasedatum: 2009-12-28, Studio: Springer Netherlands.
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