Mathematika

Research Article

Multiplicative functions on arithmetic progressions

P. D. T. A. Elliotta1

a1 Department of Mathematics, University of Colorado, Boulder, Colorado 80309, U.S.A.

In this paper I show that complex-valued multiplicative functions g which satisfy |g(n)|≤1 for all positive integers n, are generally well distributed in residue classes to small moduli.

(Received June 09 1987)

Key Words:

  • 10G99: NUMBER THEORY: Trigonometric sums, exponential sums and character sums.