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Multiplicative Number Theory

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Cover of 'Multiplicative Number Theory'

Table of Contents

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    Book Overview
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    Chapter 1 Primes in Arithmetic Progression
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    Chapter 2 Gauss’ Sum
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    Chapter 3 Cyclotomy
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    Chapter 4 Primes in Arithmetic Progression: The General Modulus
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    Chapter 5 Primitive Characters
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    Chapter 6 Dirichlet’s Class Number Formula
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    Chapter 7 The Distribution of the Primes
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    Chapter 8 Riemann’s Memoir
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    Chapter 9 The Functional Equation of the L Functions
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    Chapter 10 Properties of the Γ Function
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    Chapter 11 Integral Functions of Order 1
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    Chapter 12 The Infinite Products for ξ(s) and ξ(s, χ)
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    Chapter 13 A Zero-Free Region for ζ(s)
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    Chapter 14 Zero-Free Regions for L(s, χ)
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    Chapter 15 The Number N(T)
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    Chapter 16 The Number N(T, χ)
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    Chapter 17 The Explicit Formula for Ψ(x)
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    Chapter 18 The Prime Number Theorem
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    Chapter 19 The Explicit Formula for ψ(x, χ)
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    Chapter 20 The Prime Number Theorem for Arithmetic Progressions (I)
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    Chapter 21 Siegel’s Theorem
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    Chapter 22 The Prime Number Theorem for Arithmetic Progressions (II)
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    Chapter 23 The Pólya-Vinogradov Inequality
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    Chapter 24 Further Prime Number Sums
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    Chapter 25 An Exponential Sum Formed with Primes
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    Chapter 26 Sums of Three Primes
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    Chapter 27 The Large Sieve
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    Chapter 28 Bombieri’s Theorem
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    Chapter 29 An Average Result
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    Chapter 30 References to other Work
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Title
Multiplicative Number Theory
Published by
Springer New York, January 1980
DOI 10.1007/978-1-4757-5927-3
ISBNs
978-1-4757-5929-7, 978-1-4757-5927-3
Authors

Harold Davenport, Davenport, Harold

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Mendeley readers

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The data shown below were compiled from readership statistics for 3 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 3 100%

Demographic breakdown

Readers by professional status Count As %
Professor 1 33%
Unknown 2 67%
Readers by discipline Count As %
Social Sciences 1 33%
Materials Science 1 33%
Unknown 1 33%