Description



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.

Topics in Multiplicative Number Theory

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    A Paperback by Hugh L. Montgomery

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      View other formats and editions of Topics in Multiplicative Number Theory by Hugh L. Montgomery

      Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
      Publication Date: 01/02/1986
      ISBN13: 9783540056416, 978-3540056416
      ISBN10: 3540056416
      Also in:
      Mathematics Number theory

      Description



      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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