English

Inductive Formulas for some Arithmetic Functions

Number Theory 2011-05-02 v2

Abstract

We prove recursive formulas involving sums of divisors and sums of triangular numbers and give a variety of identities relating arithmetic functions to divisor functions providing inductive identities for such arithmetic functions.

Keywords

Cite

@article{arxiv.1103.5227,
  title  = {Inductive Formulas for some Arithmetic Functions},
  author = {Mohamed El Bachraoui},
  journal= {arXiv preprint arXiv:1103.5227},
  year   = {2011}
}

Comments

7 pages, submitted

R2 v1 2026-06-21T17:45:17.351Z