The Erdős–Moser equation $1^{k}+2^{k}+\dots+(m-1)^{k}=m^{k}$ revisited using continued fractions

DOI10.1090/S0025-5718-2010-02439-1zbMath1231.11038arXiv0907.1356OpenAlexW2968155797WikidataQ55953132 ScholiaQ55953132MaRDI QIDQ3168749

Pieter Moree, Wadim Zudilin, Yves Gallot

Publication date: 19 April 2011

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.1356

zbMATH Keywords

rational approximationcontinued fractionexponential equation

Mathematics Subject Classification ID

Continued fractions (11A55) Exponential Diophantine equations (11D61) Continued fraction calculations (number-theoretic aspects) (11Y65)

Related Items (5)

Forbidden Integer Ratios of Consecutive Power Sums ⋮ Primary Pseudoperfect Numbers, Arithmetic Progressions, and the Erdős-Moser Equation ⋮ Moser's mathemagical work on the equation \(1^k+2^k+\ldots+(m-1)^k=m^k\) ⋮ On \(\mu\)-Sondow numbers ⋮ On stronger conjectures that imply the Erdős-Moser conjecture

Cites Work

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