Arithmetic Functions

  • Antonio Caminha Muniz Neto
Part of the Problem Books in Mathematics book series (PBM)


This short chapter introduces an important class of functions, called arithmetic multiplicative functions, which play a prominent role in the elementary theory of numbers. Among the many arithmetic multiplicative functions we shall encounter here, two deserve all spotlights: the Euler function φ, which will reveal itself to be an indispensable tool for basically all further theoretical developments, and the Möbius function μ, which is essential to getting the celebrated Möbius inversion formula and its subsequent application to the Euler function.

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Antonio Caminha Muniz Neto
    • 1
  1. 1.Universidade Federal do CearáFortalezaBrazil

Personalised recommendations