A comment on the equation $n!!=a_1!!\cdots a_t!!$

Fuente: arXiv
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Main Author: Novaković, Saša
Format: Preprint
Published: 2026
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author Novaković, Saša
author_facet Novaković, Saša
contents We study the equation $a_1!!\cdots a_t!!=n!!$ and show that in certain special cases the explicit abc conjecture implies that it has only finitely many nontrivial solutions.
format Preprint
id arxiv_https___arxiv_org_abs_2604_09730
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A comment on the equation $n!!=a_1!!\cdots a_t!!$
Novaković, Saša
Number Theory
11A41, 11D45, 11D72
We study the equation $a_1!!\cdots a_t!!=n!!$ and show that in certain special cases the explicit abc conjecture implies that it has only finitely many nontrivial solutions.
title A comment on the equation $n!!=a_1!!\cdots a_t!!$
topic Number Theory
11A41, 11D45, 11D72
url https://arxiv.org/abs/2604.09730