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 2025-01-15

DOI:

https://doi.org/10.71712/fwa0-kj92

Keywords

  • valuatios,
  • Bernoulli numbers,
  • power sums

Copyright (c) 2025 Scientia Series A: Mathematical Sciences

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Amdeberhan, T., Moll, V. H., Sharma, . V. ., & Vignat, C. . (2025). The valuations of power sums. Scientia Series A: Mathematical Sciences, 35(1), 115 – 129. https://doi.org/10.71712/fwa0-kj92

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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