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Multiplicative functions in arithmetic progressions

โœ Scribed by Balog, Antal; Granville, Andrew; Soundararajan, Kannan


Book ID
121615639
Publisher
Springer-Verlag
Year
2013
Tongue
English
Weight
280 KB
Volume
37
Category
Article
ISSN
2195-4755

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Some Remarks on Nonnegative Multiplicati
โœ Gennady Bachman ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 305 KB

The study of the distribution of general multiplicative functions on arithmetic progressions is, largely, an open problem. We consider the simplest instance of this problem and establish an essentially the best possible result of the form where f is a nonnegative multiplicative function and (a, q)=