Recursive formulas for sums of squares and sums of triangular numbers

Mohamed El Bachraoui

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arXiv · 1106.3952

Recursive formulas for sums of squares and sums of triangular numbers

Mohamed El Bachraoui

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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.

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Mohamed El Bachraoui. 2011-06-22. Recursive formulas for sums of squares and sums of triangular numbers. https://arxiv.org/abs/1106.3952

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