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Published in:
2009 | OriginalPaper | Chapter
Appendix
Author : Olivier Ramaré
Published in: Arithmetical Aspects of the Large Sieve Inequality
Publisher: Hindustan Book Agency
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Here is a theorem inspired by (Halberstam & Richert, 1971) but where we take care of the values of our multiplicative function on powers of primes as well. The reader will find in (Martin, 2002) an appendix with a similar result. Moreover, we present a completely explicit estimate, which complicates the proof somewhat. In (Cazaran & Moree, 1999), the reader will find, inter alia, a presentation of many results in the area, a somewhat different exposition as well as a modified proof: the authors achieve there a better treatment of the error term by appealing to a preliminary sieving.