On the distribution of algebraic primes in small regions

Mu Tsun Tsai; Alexandru Zaharescu

doi:10.1007/s00229-014-0669-7

On the distribution of algebraic primes in small regions

Mu Tsun Tsai, Alexandru Zaharescu

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Assuming a uniform version ofGross and Smith’s generalized k-tuple conjecture, we prove that the prime elements in a ring of algebraic integers have Poisson distribution in small regions, by considering the sum of the corresponding singular series.

Original language	English (US)
Pages (from-to)	111-123
Number of pages	13
Journal	Manuscripta Mathematica
Volume	145
Issue number	1-2
DOIs	https://doi.org/10.1007/s00229-014-0669-7
State	Published - Sep 2014

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General Mathematics

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On the distribution of algebraic primes in small regions

Abstract

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