The valuations of power sums

T. Amdeberhan; Victor H. Moll; Vaishavi  Sharma; Christophe  Vignat

Vol. 35 (2025)

Articles

The valuations of power sums

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T. Amdeberhan,
Victor H. Moll,
Vaishavi Sharma,
Christophe Vignat

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T. Amdeberhan
Department of Mathematics, Tulane University, New Orleans, LA 70118

Victor H. Moll
Department of Mathematics, Tulane University, New Orleans, LA 70118

Vaishavi Sharma
Department of Mathematics, The Ohio State University, Columbus, OH 43201

Christophe Vignat
Department of Mathematics, Tulane University, New Orleans, LA 70118

Published 23-11-2024

Keywords

valuatios,
Bernoulli numbers,
power sums

Abstract

The \(p-adic\) valuation of the sequence formed by power sums is described completely for the primes \(p = 2, 3\) and \(5\) A general pattern arising from these explorations is conjectured.

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