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An Overview of the Sieve Method and its History

Y. Motohashi
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Abstract

This is a revised version of NT0505521, a translation of our Japanese expository article that was published under the title `{\it An overview of sieve methods}' in the second issue of the 52nd volume of Sugaku, the Mathematical Society of Japan, April 2005. A number of textual improvements are incorporated, for which the author is grateful to G. Greaves of Cardiff University, UK. Also, a new addendum is added for the sake of updating.

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Y. Motohashi. 2006-12-27. An Overview of the Sieve Method and its History. https://arxiv.org/abs/math/0505521

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