Recent Progress on the Large Sieve with Sparse Sets of Moduli and Its Application to Square Moduli
碩士 === 國立交通大學 === 應用數學系所 === 104 === The large sieve inequality for square moduli has the following form: \[ \sum_{q=1}^Q\sum_{\substack{a~\mathrm{mod}~q^2\\\mathrm{gcd}(a,q)=1}} \left|\sum_{n=M+1}^{M+N} a_ne\left( \frac{a}{q^2}n\right) \right|^2\ll\Delta \sum_{n=M+1}^{M+N} \left| a_n\right|^2. \] F...
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| Format: | Others |
| Language: | en_US |
| Published: |
2015
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| Online Access: | http://ndltd.ncl.edu.tw/handle/60760829604233832540 |