Asymptotic expansion of the sum of the reciprocals of an arithmetic function

DOI10.5802/AMBP.256zbMath1189.11044OpenAlexW2319787589MaRDI QIDQ1017368

Farid Bencherif, Hacène Belbachir

Publication date: 18 May 2009

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AMBP_2009__16_1_93_0

zbMATH Keywords

sums of reciprocalsnumber of primes

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution of primes (11N05)

Cites Work

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• On a sum involving powers of the prime counting function
• On a sum involving the prime counting function 1/4(x)

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