Journal of the Ramanujan Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

On the Large Sieve With Sparse Sets of Moduli


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

   Subscribe/Renew Journal


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].
User
Subscription Login to verify subscription
Notifications
Font Size

Abstract Views: 215

PDF Views: 0




  • On the Large Sieve With Sparse Sets of Moduli

Abstract Views: 215  |  PDF Views: 0

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].