English

Multiplicative functions in arithmetic progressions

Number Theory 2007-05-23 v1

Abstract

We develop a theory of multiplicative functions (with values inside or on the unit circle) in arithmetic progressions analogous to the well-known theory of primes in arithmetic progressions.

Keywords

Cite

@article{arxiv.math/0702389,
  title  = {Multiplicative functions in arithmetic progressions},
  author = {Antal Balog and Andrew Granville and K. Soundararajan},
  journal= {arXiv preprint arXiv:math/0702389},
  year   = {2007}
}

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22 pages