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Some Remarks on Nonnegative Multiplicative Functions on Arithmetic Progressions

✍ Scribed by Gennady Bachman

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
305 KB
Volume
73
Category
Article
ISSN
0022-314X

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✦ Synopsis

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)=1.

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