Parity of the number of primes in a given interval and algorithms of the sublinear summation

Andrew V. Lelechenko

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arXiv · 1305.1639

Parity of the number of primes in a given interval and algorithms of the sublinear summation

Andrew V. Lelechenko

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Abstract

Recently Tao, Croot and Helfgott invented an algorithm to determine the parity of the number of primes in a given interval in O(x^{1/2-c+\eps}) steps for some absolute constant c. We propose a slightly different approach, which leads to the implicit value of c. To achieve this aim we discuss the summation of multiplicative functions, developing sublinear algorithms and proving several general theorems.

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BibTeX RIS

Andrew V. Lelechenko. 2013-05-07. Parity of the number of primes in a given interval and algorithms of the sublinear summation. https://arxiv.org/abs/1305.1639

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