A Top Hat for Moser’s Four Mathemagical Rabbits

DOI10.4169/amer.math.monthly.118.04.364zbMath1228.11045arXiv1011.2956OpenAlexW2963644934WikidataQ58281058 ScholiaQ58281058MaRDI QIDQ3168820

Pieter Moree

Publication date: 19 April 2011

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.2956

zbMATH Keywords

sum of powers of consecutive numbers

Mathematics Subject Classification ID

Representation problems (11D85)

Related Items (7)

Forbidden Integer Ratios of Consecutive Power Sums ⋮ The Erdős–Moser equation $1^{k}+2^{k}+\dots+(m-1)^{k}=m^{k}$ revisited using continued fractions ⋮ 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 ⋮ Solutions of the congruence 1+2f(n)+⋯+nf(n)≡0 mod n ⋮ Integer Ratios of Consecutive Alternating Power Sums

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