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math.NT2011
Recursive formulas for sums of squares and sums of triangular numbers
Mohamed El Bachraoui
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. Inter…
math.NT2011
Inductive Formulas for some Arithmetic Functions
Mohamed El Bachraoui
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…