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Band 74

Multiplicative Number Theory

Aus der Reihe Graduate Texts in Mathematics

65,99 €

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Beschreibung

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...

Beschreibung

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.

Rezension

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)

Produktdetails

Einband

Gebundene Ausgabe
Erscheinungsdatum

31.10.2000
Abbildungen

XIV, 182 p.
Herausgeber H. L. Montgomery

Produktdetails

Einband

Gebundene Ausgabe
Erscheinungsdatum

31.10.2000
Abbildungen

XIV, 182 p.
Herausgeber H. L. Montgomery
Verlag Springer Us
Seitenzahl

182
Maße (L/B/H)

24,1/16/1,7 cm
Gewicht

419 g
Auflage

3rd ed. 2000
Sprache

Englisch
ISBN

978-0-387-95097-6
Herstelleradresse

Springer-Verlag GmbH
Europaplatz 3
69115 Heidelberg
DE

Email: ProductSafety@springernature.com

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  • Produktbild: Multiplicative Number Theory
  • Produktbild: Multiplicative Number Theory

  • 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.