Analyzing an approximate polynomial, the paper argues, without proving, that the Erdős-Moser equation has only the solution (1,3).
The erd o s-moser equation 1 k+ 2 k+ +(m--1) k= m k revisited using continued fractions
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An Analytical Exploration of the Erd\"os-Moser Equation $ \sum_{i=1}^{m-1} i^k = m^k $ Using Approximation Methods
Analyzing an approximate polynomial, the paper argues, without proving, that the Erdős-Moser equation has only the solution (1,3).