English

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

Number Theory 2026-04-14 v1

Abstract

We study the equation a1!!at!!=n!!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.

Cite

@article{arxiv.2604.09730,
  title  = {A comment on the equation $n!!=a_1!!\cdots a_t!!$},
  author = {Saša Novaković},
  journal= {arXiv preprint arXiv:2604.09730},
  year   = {2026}
}

Comments

8 pages, comments are welcome

R2 v1 2026-07-01T12:03:33.717Z