Topics in multiplicative number theory

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Bibliographic Details
Main Author: Montgomery, Hugh L., 1944-...., mathématicien
Format: Livre numérique
Language:Anglais
Published: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Series:Lecture notes in mathematics 227
Subjects:
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Edition sous un autre format:• Topics in multiplicative number theory, Hugh L. Montgomery,..., Berlin, Springer, 1971, 1 vol. (VIII-178 p.), Lecture notes in mathematics, 3-540-05641-6
• Topics in Multiplicative Number Theory, Texte imprimé, 9783662199565
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.