Articoli correlati a Multiplicative Number Theory: 74
Sinossi
The new edition of this thorough examination of the distribution of prime numbers in arithmetic progressions offers many revisions and corrections as well as a new section recounting recent works in the field. The book covers many classical results, including the Dirichlet theorem on the existence of prime numbers in arithmetical progressions and the theorem of Siegel. It also presents a simplified, improved version of the large sieve method.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Recensione
From the reviews of the third edition:
"The book under review is one of the most important references in the multiplicative number theory, as its title mentions exactly. ... Davenport’s book covers most of the important topics in the theory of distribution of primes and leads the reader to serious research topics ... . is very well written. ... is useful for graduate students, researchers and for professors. It is a very good text source specially for graduate levels, but even is fruitful for undergraduates." (Mehdi Hassani, MathDL, July, 2008)
Contenuti
From the contents: Primes in Arithmetic Progression.- Gauss' Sum.- Cyclotomy.- Primes in Arithmetic Progression: The General Modulus.- Primitive Characters.- Dirichlet's Class Number Formula.- The Distribution of the Primes.- Riemann's Memoir.- The Functional Equation of the L Function.- Properties of the Gamma Function.- Integral Functions of Order 1.- The Infinite Products for xi(s) and xi(s,Zero-Free Region for zeta(s).- Zero-Free Regions for L(s, chi).- The Number N( T).- The Number N( T, chi).- The explicit Formula for psi(x).- The Prime Number Theorem.- The Explicit Formula for psi(x,chi).- The Prime Number Theorem for Arithmetic Progressions (I).- Siegel's Theorem.- The Prime Number Theorem for Arithmetic Progressions (II).- The Pólya-Vinogradov Inequality.- Further Prime Number Sums.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
- EditoreSpringer Verlag
- Data di pubblicazione2000
- ISBN 10 0387950974
- ISBN 13 9780387950976
- RilegaturaCopertina rigida
- LinguaInglese
- Numero di pagine177
- RedattoreAxler S., Gehring F. W., Ribet K. A.
- Contatto del produttorenon disponibile
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Multiplicative Number Theory (Graduate Texts in Mathematics, 74)
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The new edition of this thorough examination of the distribution of prime numbers in arithmetic progressions offers many revisions and corrections as well as a new section recounting recent works in the field. The book covers many classical results, including the Dirichlet theorem on the existence of prime numbers in arithmetical progressions and the theorem of Siegel. It also presents a simplified, improved version of the large sieve method. 200 pp. Englisch. Codice articolo 9780387950976
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Multiplicative Number Theory
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Buch. Condizione: Neu. Neuware -This book thoroughly examines the distribution of prime numbers in arithmetic progressions. It covers many classical results, including the Dirichlet theorem on the existence of prime numbers in arithmetical progressions, the theorem of Siegel, and functional equations of the L-functions and their consequences for the distribution of prime numbers. In addition, a simplified, improved version of the large sieve method is presented. The 3rd edition includes a large number of revisions and corrections as well as a new section with references to more recent work in the field.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 200 pp. Englisch. Codice articolo 9780387950976
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Multiplicative Number Theory
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ISBN 10: 0387950974
ISBN 13: 9780387950976
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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book thoroughly examines the distribution of prime numbers in arithmetic progressions. It covers many classical results, including the Dirichlet theorem on the existence of prime numbers in arithmetical progressions, the theorem of Siegel, and functional equations of the L-functions and their consequences for the distribution of prime numbers. In addition, a simplified, improved version of the large sieve method is presented. The 3rd edition includes a large number of revisions and corrections as well as a new section with references to more recent work in the field. Codice articolo 9780387950976
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Multiplicative Number Theory (Graduate Texts in Mathematics, 74)
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Multiplicative Number Theory
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Hardcover. Condizione: Very Good. Third Edition; First Printing. Graduate Texts In Mathematics, 74; 177 pages; Very Good condition. No noteworthy defects. No markings.; - Your satisfaction is our priority. We offer free returns and respond promptly to all inquiries. Your item will be carefully cushioned in bubble wrap and securely boxed. All orders ship on the same or next business day. Buy with confidence. Codice articolo GHC13-40761-A-0
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