Gauss Sums and the Pólya–Vinogradov Inequality

Rodrigo Raya 🌐 and Manuel Eberl 🌐

December 10, 2019

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Abstract

This article provides a full formalisation of Chapter 8 of Apostol's Introduction to Analytic Number Theory. Subjects that are covered are:

  • periodic arithmetic functions and their finite Fourier series
  • (generalised) Ramanujan sums
  • Gauss sums and separable characters
  • induced moduli and primitive characters
  • the Pólya—Vinogradov inequality
BSD License

Topics

Theories of Gauss_Sums