On the large sieve with square moduli

نویسندگان

  • Stephan Baier
  • Jeffery Hall
چکیده

We prove an estimate for the large sieve with square moduli which improves a recent result of L. Zhao. Our method uses an idea of D. Wolke and some results from Fourier analysis. Mathematics Subject Classification (2000): 11N35, 11L07, 11B57

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The large sieve with sparse sets of moduli

Extending a method of D. Wolke [7], we establish a general result on the large sieve with sparse sets S of moduli which are in a sense well-distributed in arithmetic progressions. We then apply our result to the case when S consists of sqares. In this case we obtain an estimate which improves a recent result by L. Zhao [8]. Mathematics Subject Classification (2000): 11N35, 11L07, 11B57

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تاریخ انتشار 2005