Divisor function and bounds in domains with enough primes

Yıl 2019, Cilt: 48 Sayı: 2, 399 - 405, 01.04.2019

Haydar Göral

Öz

In this note, first we show that there is no uniform divisor bound for the Bézout identity using Dirichlet's theorem on arithmetic progressions. Then, we discuss for which rings the absolute value bound for the Bézout identity is not trivial and the answer depends on the number of small primes in the ring.

Anahtar Kelimeler

divisor function, arithmetic progression, polynomials, unique factorization domain

Kaynakça

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