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A NOTE ON THE LARGE SIEVE INEQUALITY FOR MODULI GENERATED BY A QUADRATIC

Part of: Sequences and sets Multiplicative number theory Exponential sums and character sums

Published online by Cambridge University Press:  26 December 2024

C. C. CORRIGAN
C. C. CORRIGAN*
Affiliation:
School of Mathematics and Statistics, University of New South Wales, Sydney, NSW 2052, Australia
*
e-mail: [email protected]
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Abstract

We develop a generalisation of the square sieve of Heath-Brown and use it to give an alternate proof of one of the large sieve inequalities in our previous paper [‘A large sieve inequality for characters to quadratic moduli’, Preprint, https://web.maths.unsw.edu.au/~ccorrigan/preprint6.pdf].

Keywords

large sieve inequalitysquare sieveFarey fractions in short intervals

MSC classification

Primary: 11N35: Sieves
Secondary: 11B57: Farey sequences; the sequences ${1^k, 2^k, cdots}$ 11L05: Gauss and Kloosterman sums; generalizations 11L20: Sums over primes
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , First View , pp. 1 - 6
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Copyright
© The Author(s), 2024. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc

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References

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