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) |
Official URL: https://doi.org/10.1201/9780138747060-6
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 |
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Date Type: | Published Online |
Status: | Published |
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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