M. Panfilov: Congruences for L-Functions - nieuw boek
ISBN: 9789401595421
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.Thei… 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 > Number theory, Springer Netherlands<
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J. Urbanowicz; Kenneth S. Williams: Congruences for L-Functions - nieuw boek
ISBN: 9789401595421
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 eBook, Springer Shop<
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J. Urbanowicz/ Kenneth S. Williams: Congruences for L-Functions - nieuw boek
2000, ISBN: 9789401595421
*Congruences for L-Functions* - Auflage 2000 / pdf eBook für 53.49 € / Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik Medien > Bücher nein eBook als pdf eBooks > Fachtheme… Meer...
*Congruences for L-Functions* - Auflage 2000 / pdf eBook für 53.49 € / Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik Medien > Bücher nein eBook als pdf eBooks > Fachthemen & Wissenschaft > Mathematik, Springer Netherlands<
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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.Thei… 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 > Number theory, Springer Netherlands<
No. 9789401595421. Verzendingskosten:Instock, Despatched same working day before 3pm, zzgl. Versandkosten., exclusief verzendingskosten
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 eBook, Springer Shop<
J. Urbanowicz/ Kenneth S. Williams: Congruences for L-Functions - nieuw boek
2000
ISBN: 9789401595421
*Congruences for L-Functions* - Auflage 2000 / pdf eBook für 53.49 € / Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik Medien > Bücher nein eBook als pdf eBooks > Fachtheme… Meer...
*Congruences for L-Functions* - Auflage 2000 / pdf eBook für 53.49 € / Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik Medien > Bücher nein eBook als pdf eBooks > Fachthemen & Wissenschaft > Mathematik, Springer Netherlands<
Verzendingskosten:In stock (Download), , Versandkostenfrei nach Hause oder Express-Lieferung in Ihre Buchhandlung., DE. (EUR 0.00)
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Bibliografische gegevens van het best passende boek
Boek bevindt zich in het datenbestand sinds 2017-03-27T15:15:16+02:00 (Amsterdam) Detailpagina laatst gewijzigd op 2024-03-19T14:16:41+01:00 (Amsterdam) ISBN/EAN: 9789401595421
ISBN - alternatieve schrijfwijzen: 978-94-015-9542-1 alternatieve schrijfwijzen en verwante zoekwoorden: Auteur van het boek: urbano, kenneth williams, willi urban, panfilov
Gegevens van de uitgever
Auteur: J. Urbanowicz; Kenneth S. Williams Titel: Mathematics and Its Applications; Congruences for L-Functions Uitgeverij: Springer; Springer Netherland 256 Bladzijden Verschijningsjaar: 2013-03-09 Dordrecht; NL Taal: Engels 53,49 € (DE) 55,00 € (AT) 59,00 CHF (CH) Available XII, 256 p.
EA; E107; eBook; Nonbooks, PBS / Mathematik/Arithmetik, Algebra; Zahlentheorie; Verstehen; DEX; character; congruence; form; function; functions; number theory; special function; variable; C; Number Theory; Field Theory and Polynomials; Functions of a Complex Variable; Special Functions; Mathematics and Statistics; Algebra; Komplexe Analysis, komplexe Variablen, Funktionentheorie; Funktionalanalysis und Abwandlungen; BB
I. Short Character Sums.- II. Class Number Congruences.- III. Congruences between the Orders of K2-Groups.- IV Congruences among the Values of 2-Adic L-Functions.- V. Applications of Zagier’s Formula (I).- VI. Applications of Zagier’s Formula (II).- Author Index.- List of symbols.
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