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We describe an explicit version of Hilbert’s irreducibility theorem using a generalization of Gallagher’s larger sieve. We give applications to the Galois theory of random polynomials, and to the imag...
When the sieve works     sieve works  Number Theory  Combinatorics       2012/5/25
We are interested in classifying those sets of primes P such that when we sieve out the integers up to x by the primes in P^c we are left with roughly the expected number of unsieved integers. In part...
This paper advanced a new two-dimension sieve method of using some deleted lines to sum formulae with some odd composites in formula columns for every even number >6, and proved a stronger Goldbach\&#...
Abstract: A general sieve method for groups is formulated. It enables one to "measure" subsets of a finitely generated group. As an application we show that if $\Gamma$ is a finitely generated non vir...
Sieve in expansion      Sieve  expansion        2011/1/21
This report presents recent works extending sieve methods, from their classical setting, to new situations characterized by the targeting of sets with exponential growth, arising often from discrete...
Sifting limits for the 2􀀀 sieve, Selberg's lower bound sieve, are computed for integral dimensions 1 <   10. The evidence strongly suggests that for all   3 the 2􀀀 sieve is s...
本文在响应变量的观测值为Ⅰ型区间删失数据的情形下,讨论部分线性模型Sieve极大似然估计的渐近性质.在一定条件下证明了该估计具有强相合性;参数分量的估计具有渐近正态性,并且是渐近有效的;非参数分量估计达到了最优弱收敛速度.

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