Recursive formulas for sums of squares and sums of triangular numbers
Number Theory
2011-06-23 v2
Abstract
We prove recursive formulas for sums of squares and sums of triangular numbers in terms of sums of divisors functions and we give a variety of consequences of these formulas. Intermediate applications include statements about positivity of the coefficients of some infinite products.
Keywords
Cite
@article{arxiv.1106.3952,
title = {Recursive formulas for sums of squares and sums of triangular numbers},
author = {Mohamed El Bachraoui},
journal= {arXiv preprint arXiv:1106.3952},
year = {2011}
}
Comments
9 pages