The valuations of power sums | Scientia Series A: Mathematical Sciences

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Published: 2025-01-08

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

Keywords:

valuatios, Bernoulli numbers, power sums

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

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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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

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