| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4594506 | Journal of Number Theory | 2011 | 8 Pages |
Abstract
The Erdős–Moser conjecture states that the Diophantine equation Sk(m)=mk, where Sk(m)=k1+k2+⋯+k(m−1), has no solution for positive integers k and m with k⩾2. We show that stronger conjectures about consecutive values of the function Sk, that seem to be more naturally, imply the Erdős–Moser conjecture.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
