Inductive Formulas for some Arithmetic Functions
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.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2011
- DOI:
- arXiv:
- arXiv:1103.5227
- Bibcode:
- 2011arXiv1103.5227E
- Keywords:
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- Mathematics - Number Theory
- E-Print:
- 7 pages, submitted