TY  - JOUR
T1  - Divisor function and bounds in domains with enough primes
AU  - Göral, Haydar
PY  - 2019
DA  - April
JF  - Hacettepe Journal of Mathematics and Statistics
PB  - Hacettepe University
WT  - DergiPark
SN  - 2651-477X
SP  - 399
EP  - 405
VL  - 48
IS  - 2
LA  - en
AB  - 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.
KW  - divisor function
KW  - arithmetic progression
KW  - polynomials
KW  - unique factorization domain
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UR  - https://dergipark.org.tr/en/pub/hujms/article/547256
L1  - https://dergipark.org.tr/en/download/article-file/684385
ER  -