Arithmetic functions and integer products /

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Bibliographic Details
Main Author: Elliott, P. D. T. A. (Peter D. T. A.)
Format: Book
Language:English
Published: New York : Springer-Verlag, [1985]
Series:Grundlehren der mathematischen Wissenschaften ; 272.
Subjects:
Table of Contents:
  • First motive. Variants of well-known arithmetic inequalities
  • A diophantine equation
  • A first upper bound
  • Intermezzo: the group Q*/T
  • Some duality
  • Second motive. Lemmas involving prime numbers
  • Additive functions on arithmetic progressions with large moduli
  • The loop
  • Third motive. The approximate functional equations
  • Additive arithmetic functions on differences
  • Some historical remarks
  • From L(2) to L(8)
  • A problem fo Katai
  • Inequalities in L(8)
  • Integers as products
  • The second intermezzo
  • Product representations by values of rational functions
  • Simultaneous product representations by values of rational functions
  • Simultaneous product representations with a(i)x+b(i)
  • Information and arithmetic
  • Central limit theorem for diffeernces
  • Density theorems
  • Problems
  • Supplement: Progress in probabilistic number theory.