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• W1574607714 abstract "The Erdos-Moser equation is a Diophantine equation proposed more than 60 years ago which remains unresolved to this day. In this paper, we consider the problem in terms of divisibility of power sums and in terms of certain Egyptian fraction equations. As a consequence, we show that solutions must satisfy strong divisibility properties and a restrictive Egyptian fraction equation. Our studies lead us to results on the Bernoulli numbers and allow us to motivate Moser's original approach to the problem." @default.
• W1574607714 created "2016-06-24" @default.
• W1574607714 creator A5039075819 @default.
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• W1574607714 date "2014-01-01" @default.
• W1574607714 modified "2023-09-27" @default.
• W1574607714 title "The $p$-adic Order of Power Sums, the Erdos-Moser Equation, and Bernoulli Numbers" @default.
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• W1574607714 hasPublicationYear "2014" @default.
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