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The Transformation of Sieve Function

Jinzhu Han
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Abstract

In this paper, we introduced the theory of the sieve function transformation. Using the principle of sieve function transformation, we improved sieve method, and obtained the difference range of similar sieve function values. For this, we improved the prime theorem for arithmetic series. The theory of sieve function transformation can also be used to research many problems in number theory.

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Jinzhu Han. 2007-01-08. The Transformation of Sieve Function. https://arxiv.org/abs/math/0701235

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