Recursive formulas for sums of squares and sums of triangular numbers
classification
🧮 math.NT
keywords
sumsformulasnumbersrecursivesquarestriangularapplicationscoefficients
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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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