An improvement for the large sieve for square moduli. (English) Zbl 1225.11121

Baier, Stephan; Zhao, Liangyi

J. Number Theory 128, No. 1, 154-174 (2008).

Summary: We establish a result on the large sieve with square moduli. These bounds improve recent results by S. Baier [J. Ramanujan Math. Soc. 21, No. 3, 279–295 (2006; Zbl 1152.11041)] and L. Zhao [Acta Arith. 112, No. 3, 297–308 (2004; Zbl 1060.11055)].

MSC:

11N35	Sieves
11B57	Farey sequences; the sequences \(1^k, 2^k, \dots\)
11L07	Estimates on exponential sums
11L40	Estimates on character sums
11L15	Weyl sums

Keywords:

large sieve; Farey fractions in short intervals; estimates on exponential sums and integrals

Citations:

Zbl 1152.11041; Zbl 1060.11055

References:

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