Finiteness of trivial solutions of factorial products yielding a factorial over number fields
Tom 190 / 2019
Acta Arithmetica 190 (2019), 395-401
MSC: Primary 11D45; Secondary 11D57, 11D72.
DOI: 10.4064/aa181010-29-1
Opublikowany online: 23 July 2019
Streszczenie
We consider a Bertrand type estimate for primes splitting completely. As one of its applications, we show the finiteness of the set of trivial solutions of a Diophantine equation involving the factorial function over number fields other than the rational number field.
