PreprintarXiv licencearXiv
Erdős--Straus Conjecture: Modular Inversion in Mordell Classes
Abstract
We examine modular inversion of strict Grid certificates in a ceiling continued-fraction construction for the Erdős--Straus equation. The six Mordell classes modulo $840$ form four inversion orbits. Prime-input pattern frequencies in the pairs $121 \leftrightarrow361 $ and 289 ↔ 529 have equal asymptotic limits for every fixed cutoff.
Related
- Congruence Classes of Supporting the Erdös-Straus Conjecture I: Tame Solutions
- Congruence Classes of Supporting the Erdös-Straus Conjecture II: Wild Solutions
- A Ceiling Continued Fraction Approach to the Erdős-Straus Conjecture: Heuristic finiteness of counterexamples
- On Dynamical Mordell-Lang Conjecture for Split Map
- Prime Numbers of the Form 24m+1 and Erdös-Straus Conjecture
BibTeX
@misc{ventas2026erdősstraus,
title = {{Erdős--Straus Conjecture: Modular Inversion in Mordell Classes}},
author = {Andres Ventas},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.41027},
eprint = {2610.41027},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.41027},
}
RIS
TY - UNPB
TI - Erdős--Straus Conjecture: Modular Inversion in Mordell Classes
AU - Andres Ventas
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2610.41027
UR - https://arxiv.org/abs/2610.41027
AB - We examine modular inversion of strict Grid certificates in a ceiling continued-fraction construction for the Erdős--Straus equation. The six Mordell classes modulo $840$ form four inversion orbits. Prime-input pattern frequencies in the pairs $121 \leftrightarrow361 $ and 289 ↔ 529 have equal asymptotic limits for every fixed cutoff.
ER -