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Izvestiya: Mathematics, 2005, Volume 69, Issue 2, Pages 423–438
DOI: https://doi.org/10.1070/IM2005v069n02ABEH000534 (Mi im638) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On sums of multiplicative functions over numbers all of whose prime divisors belong to given arithmetic progressions

M. E. Changa

Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (191 kB) Citations (6) Russian version article
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DOI: https://doi.org/10.1070/IM2005v069n02ABEH000534
Abstract: The method of complex integration is used to derive asymptotic formulae for sums of multiplicative functions over numbers all of whose prime divisors belong to given arithmetic progressions. Generally, the principal term in such a formula takes the form of a sum with an increasing number of terms. However, under certain condition on the parameters of the problem, it becomes a finite sum.
Received: 21.09.2004
Bibliographic databases:
UDC: 511
MSC: 11M26, 11M35, 11M41, 11N05, 11N85, 11M05
Language: English
Original paper language: Russian
Citation: M. E. Changa, “On sums of multiplicative functions over numbers all of whose prime divisors belong to given arithmetic progressions”, Izv. Math., 69:2 (2005), 423–438
Citation in format AMSBIB
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\paper On sums of multiplicative functions over numbers all of whose prime
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\issue 2
\pages 423--438
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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