Recursive formulas for sums of squares and sums of triangular numbers

Details Recursive formulas for sums of squares and sums of triangular numbers Recursive formulas for sums of squares and sums of triangular numbers

2011-06-20

arxiv.org/abs/1106.3952v2

Mathematics

Number Theory

9 pages

Scientific paper

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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