Journal of the Ramanujan Mathematical Society

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On the Large Sieve With Sparse Sets of Moduli


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1 Department of Mathematics and Statistics, Queenā€™s University, University Ave, Kingston, Ontario, K7L 3N6, Canada
     

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Extending a method of D. Wolke [10], we establish a general result on the large sieve with sparse sets š¯’® of moduli which are in a sense well-distributed in arithmetic progressions. We then use this result together with Fourier techniques to obtain large sieve bounds for the case when š¯’® consists of sqares. These bounds improve a recent result by L. Zhao [11].
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  • On the Large Sieve With Sparse Sets of Moduli

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Authors

Stephan Baier
Department of Mathematics and Statistics, Queenā€™s University, University Ave, Kingston, Ontario, K7L 3N6, Canada

Abstract


Extending a method of D. Wolke [10], we establish a general result on the large sieve with sparse sets š¯’® of moduli which are in a sense well-distributed in arithmetic progressions. We then use this result together with Fourier techniques to obtain large sieve bounds for the case when š¯’® consists of sqares. These bounds improve a recent result by L. Zhao [11].