PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

Finiteness of trivial solutions of factorial products yielding a factorial over number fields

Volume 190 / 2019

Wataru Takeda Acta Arithmetica 190 (2019), 395-401 MSC: Primary 11D45; Secondary 11D57, 11D72. DOI: 10.4064/aa181010-29-1 Published online: 23 July 2019

Abstract

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.

Authors

  • Wataru TakedaDepartment of Mathematics
    Nagoya University
    Chikusa-ku
    Nagoya 464-8602, Japan
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image