Riv. Mat. Univ. Parma, Vol. 12, No. 1, 2021

Andrew Granville [a,b]

An alternative to Vaughan's identity

Pages: 119-124
Received: 25 January 2020
Accepted in revised form: 3 June 2020
Mathematics Subject Classification (2010): 11N13.
Keywords: Large sieve, Bombieri-Vinogradov Theorem, Type II sums, Sieve identity.
Author address:
[a]: Université de Montréal, CP 6128 succ Centre-Ville, Montréal, QC H3C 3J7, Canada.
[b]: University College London, Gower Street, London WC1E 6BT, England.

The author has received funding from the European Research Council grant agreement n\(^{\text{o}}\) 670239, and from NSERC Canada under the CRC program.

Full Text (PDF)

Abstract: We exhibit an identity that plays the same role as Vaughan's identity but is arguably simpler.

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