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Topics in Multiplicative ­Number Theory
Lecture Notes in Mathematics

Rating
Format
Paperback, 196 pages
Published
Germany, 1 February 1986

Three basic principles.- The large sieve.- Arithmetic formulations of the large sieve.- A weighted sieve and its application.- A lower bound of Roth.- Classical mean value theorems.- New mean value theorems.- Large moduli theorems.- Further results and conjectures concerning mean and large moduli.- Mean moduli of L-functions.- Zero-free regions and the proliferation of zeros.- Distribution of zeros of L-functions.- Least character non-residues and arg L(12+it, x).- The prime number theorems of Hoheisel and Selberg.- The bombieri ¿ Vinogradov theorem.- A lemma in additive prime number theory.- The mean value theorem of Barban.


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Product Description

Three basic principles.- The large sieve.- Arithmetic formulations of the large sieve.- A weighted sieve and its application.- A lower bound of Roth.- Classical mean value theorems.- New mean value theorems.- Large moduli theorems.- Further results and conjectures concerning mean and large moduli.- Mean moduli of L-functions.- Zero-free regions and the proliferation of zeros.- Distribution of zeros of L-functions.- Least character non-residues and arg L(12+it, x).- The prime number theorems of Hoheisel and Selberg.- The bombieri ¿ Vinogradov theorem.- A lemma in additive prime number theory.- The mean value theorem of Barban.

Product Details
EAN
9783540056416
ISBN
3540056416
Age Range
Dimensions
23.4 x 15.6 x 1.1 centimeters (0.32 kg)

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Table of Contents

Three basic principles.- The large sieve.- Arithmetic formulations of the large sieve.- A weighted sieve and its application.- A lower bound of Roth.- Classical mean value theorems.- New mean value theorems.- Large moduli theorems.- Further results and conjectures concerning mean and large moduli.- Mean moduli of L-functions.- Zero-free regions and the proliferation of zeros.- Distribution of zeros of L-functions.- Least character non-residues and arg L(12+it, x).- The prime number theorems of Hoheisel and Selberg.- The bombieri — Vinogradov theorem.- A lemma in additive prime number theory.- The mean value theorem of Barban.

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