论文标题

剩余的Mertens公式和Ramanujan不平等

Remainder in Modified Mertens Formula and Ramanujan Inequality

论文作者

Kalyabin, Gennadiy

论文摘要

事实证明,在Ramanujan不平等的情况下,经过修改的渐近公式的高度高估计值是必不可少的(以及足够的)。还获得了其他一些类似术语的标准。

A highly strong upper estimate in the modified asymptotic formula for sums of the primes' reciprocals is proved to be necessary (as well as sufficient) in order the Ramanujan inequality holds true. Some other criteria in similar terms are also obtained.

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