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Author:   Hugh L. Montgomery
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1st ed. 1971. 2nd printing 1986
Volume:   227
Dimensions:   Width: 17.80cm , Height: 1.00cm , Length: 25.40cm
Weight:   0.630kg
ISBN:  

9783540056416

ISBN 10:   3540056416
Pages:   178
Publication Date:   01 January 1971
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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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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