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math.NT2019★ 3 cited
On sums of the small divisors of a natural number
Douglas E. Iannucci
We consider the positive divisors of a natural number that do not exceed its square root, to which we refer as the {\it small divisors\/} of the natural number. We determine the as…
math.NT2019
On duplicate representations as for nonnegative integers and
Douglas Edward Iannucci
We prove a conjecture posted in the Online Encyclopedia of Integer Sequences, namely that there are exactly five positive integers that can be written in more than one way as the s…