The sum of multiplicative functions arising in Selberg's sieve

Greaves, George 2024. The sum of multiplicative functions arising in Selberg's sieve. Berndt, Bruce, ed. Number Theory for the Millennium II, London: A K Peters/CRC Press, pp. 103-116. (10.1201/9780138747060-6)

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Abstract

Following a notation frequently used in this subject, let A be a finite sequence of integers, X an associated real number and ω a multiplicative function such that 0 ≤ ω(p) < p for primes p. Define “remainders” rA (d) by the equation 1.1 https://www.w3.org/1998/Math/MathML"> ∑ a ∈ A a ≡ 0 , mod d 1 = X ω ( d ) d + r A ( d ) . https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780138747060/455ed236-7e7e-4927-9fca-c6304fa53b43/content/math106_1_1_B.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/>

Item Type:	Book Section
Date Type:	Published Online
Status:	Published
Schools:	Schools > Mathematics
Additional Information:	First Published 2002 eBook Published 31 July 2024
Publisher:	A K Peters/CRC Press
ISBN:	9780138747060
Last Modified:	05 Dec 2024 13:45
URI:	https://orca.cardiff.ac.uk/id/eprint/172749

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