论文标题

在沃恩(Vaughan)的近似值中

On an approximation by Vaughan in restricted sets of arithmetic progressions

论文作者

Bauer, Claus

论文摘要

我们研究了沃恩给出的算术进展中素数的近似值。与其在所有残基类别上平均在给定范围内的模块上平均预期的误差项,不如考虑算术渐进式的子集,这些子集满足了额外的一致性条件并提供渐近近似。

We investigate the approximation to the number of primes in arithmetic progressions given by Vaughan. Instead of averaging the expected error term over all residue classes to modules in a given range, here we only consider subsets of arithmetic progressions that satisfy additional congruence conditions and provide asymptotic approximations.

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