Scientia Series A: Mathematical Sciences

Vol. 35 (2025)
Articles

The valuations of power sums

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  • T. Amdeberhan,
  • Victor H. Moll,
  • Vaishavi Sharma,
  • Christophe Vignat
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 2024-11-23

Keywords

  • valuatios,
  • Bernoulli numbers,
  • power sums

How to Cite

The valuations of power sums. (2024). Scientia Series A: Mathematical Sciences, 35(1), 115 – 129. https://revistas.usm.cl/scientia/article/view/62

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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