数域上产生阶乘的阶乘积的平凡解的唯一性
Finiteness of trivial solutions of factorial products yielding a factorial over number fields
摘要：
我们考虑素数完全分裂的Bertrand型估计。作为其应用之一，我们证明了除有理数域外数域上关于阶乘函数的丢番图方程平凡解的有限性。
英文摘要：
We consider a Bertrand type estimate for primes splitting completely. As one of its applications, we show the finiteness of trivial solutions of Diophantine equation about the factorial function over number fields except for the case the rational number field.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
