ISBN: 9780792363798

[ED: Buch], [PU: Springer Netherlands], Neuware - In [Hardy and Williams, 1986] the authors exploited a very simple idea to obtain a linear congruence involving class numbers of imaginary… Meer...

[ED: Buch], [PU: Springer Netherlands], 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- Besorgungstitel - vorauss. Lieferzeit 3-5 Tage., DE, [SC: 0.00], Neuware, gewerbliches Angebot, 241x160x20 mm, 276, [GW: 582g], Banküberweisung, Offene Rechnung, Kreditkarte, PayPal, Offene Rechnung (Vorkasse vorbehalten), Internationaler Versand<

ISBN: 9780792363798

[ED: Buch], [PU: Springer Netherlands], Neuware - In [Hardy and Williams, 1986] the authors exploited a very simple idea to obtain a linear congruence involving class numbers of imaginary… Meer...

[ED: Buch], [PU: Springer Netherlands], 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- Besorgungstitel - vorauss. Lieferzeit 3-5 Tage., DE, [SC: 2.70], Neuware, gewerbliches Angebot, 241x160x19 mm, 276, [GW: 582g], Banküberweisung, Offene Rechnung, Kreditkarte, PayPal, Offene Rechnung (Vorkasse vorbehalten), Internationaler Versand<

2000, ISBN: 0792363795

[EAN: 9780792363798], Neubuch, [SC: 0.0], [PU: Springer Netherlands], DEX; CHARACTER; CONGRUENCE; FORM; VARIABLE; FUNCTION; FUNCTIONS; NUMBERTHEORY; SPECIALFUNCTION, Druck auf Anfrage Neu… Meer...

[EAN: 9780792363798], Neubuch, [SC: 0.0], [PU: Springer Netherlands], DEX; CHARACTER; CONGRUENCE; FORM; VARIABLE; FUNCTION; FUNCTIONS; NUMBERTHEORY; SPECIALFUNCTION, 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, Books<

ISBN: 9780792363798

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. The… Meer...

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 Mathematics Hard cover, Springer Shop<

2000, ISBN: 0792363795

2000 Gebundene Ausgabe Algebra, Zahlentheorie, Funktionalanalysis und Abwandlungen, DEX; character; Congruence; Form; Variable; Function; Functions; numbertheory; specialfunction, mit S… Meer...

2000 Gebundene Ausgabe Algebra, Zahlentheorie, Funktionalanalysis und Abwandlungen, DEX; character; Congruence; Form; Variable; Function; Functions; numbertheory; specialfunction, mit Schutzumschlag 11, [PU:Springer Netherlands; Springer Netherland]<