On Sums of Powers of the p-adic Valuation of n!
Rafael Jakimczuk
División Matemática
Universidad Nacional de Luján
Buenos Aires
Argentina
Abstract:
We study sums where the multiplicities of the primes in the prime
factorization of n! appear, and obtain a strong connection between
these sums and the Riemann zeta function.
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Received February 10 2017; revised version received April 9 2017.
Published in Journal of Integer Sequences, May 1 2017.
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