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Divisor function and bounds in domains with enough primes

Koc University Digital Collections · Papers
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mathematicsstatistics-and-probability
In this note, first we show that there is no uniform divisor bound for the Bezout identity using Dirichlet's theorem on arithmetic progressions. Then, we discuss for which rings the absolute value bound for the Bezout identity is not trivial and the answer depends on the number of small primes in th
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