PreprintCC BY-ND 4.0HAL
ON THE EXISTENCE OF SOLUTIONS TO ERDŐS-STRAUS TYPE EQUATIONS
Abstract
We apply the notion of \emph{olloid} to show that the family of Erd\H{o}s-Straus-type equations 42l/n2l=1/x2l+1/y2l+1/z2l has solutions for all l≥ 1 provided that the equation 4/n=1/x+1/y+1/z has a solution for a fixed n>4.
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BibTeX
@misc{agama2026existence,
title = {{ON THE EXISTENCE OF SOLUTIONS TO ERDŐS-STRAUS TYPE EQUATIONS}},
author = {Theophilus Agama},
howpublished = {HAL},
year = {2026},
month = sep,
url = {https://hal.science/hal-05766100v1},
note = {CC BY-ND 4.0},
}
RIS
TY - UNPB
TI - ON THE EXISTENCE OF SOLUTIONS TO ERDŐS-STRAUS TYPE EQUATIONS
AU - Theophilus Agama
PY - 2026
DA - 2026/09/27
PB - HAL
UR - https://hal.science/hal-05766100v1
AB - We apply the notion of \emph{olloid} to show that the family of Erd\H{o}s-Straus-type equations 4^2^l/n^2^l=1/x^2^l+1/y^2^l+1/z^2^l has solutions for all l≥ 1 provided that the equation 4/n=1/x+1/y+1/z has a solution for a fixed n>4.
ER -