An improved solution of Σ_i=1^k 1/X_i = 1 in distinct integers when x_i ∤ x_j for i ≠ j

Nechemia Burshtein
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 16, 2010, Number 2, Pages 1–4
Full paper (PDF, 130 Kb)

Details

Authors and affiliations

Nechemia Burshtein
117 Arlozorov Street, Tel Aviv 62098, Israel

Abstract

An improved solution of the title equation with k = 52, x₅₂ = 1963 is exhibited. This is the best known result thus far.

Keywords

• Diophantine equations
• Egyptian fractions

AMS Classification

• 11 – Number theory

References

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