Topics in multiplicative number theory

Bibliographic Information

Topics in multiplicative number theory

Hugh L. Montgomery

(Lecture notes in mathematics, 227)

Springer-Verlag, 1971

  • : Germany
  • : U.S.

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Note

Bibliography: p. [162]-178

Description and Table of Contents

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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Details

  • NCID
    BA06688479
  • ISBN
    • 9783540056416
    • 0387056416
  • LCCN
    70177431
  • Country Code
    gw
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Berlin ; New York
  • Pages/Volumes
    viii, 178 p
  • Size
    26 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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