Periodic Arithmetical Functions and Gauss Sums

  • Tom M. Apostol
Part of the Undergraduate Texts in Mathematics book series (UTM)


Let k be a positive integer. An arithmetical function f is said to be periodic with period k (or periodic modulo k) if
$$f\left( {n + k} \right) = f\left( n \right)$$
for all integers n. If k is a period so is mk for any integer m > 0. The smallest positive period of f is called the fundamental period.


Dirichlet Character Primitive Character Principal Character Complete Residue System Finite Fourier Series 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 1976

Authors and Affiliations

  • Tom M. Apostol
    • 1
  1. 1.Department of MathematicsCalifornia Institute of TechnologyPasadenaUSA

Personalised recommendations