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HILBERT’S IRREDUCIBILITY THEOREM AND THE LARGER SIEVE
HILBERT IRREDUCIBILITY THEOREM LARGER SIEVE
2015/8/26
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...
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...
A new two-dimension sieve method and the proof of the Goldbach's conjecture
sieve Goldbach conjecture
2011/9/21
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\&#...
Sieve methods in group theory I: Powers in Linear groups
Sieve Property-T Powers Linear groups Finite groups of Lie type
2011/9/14
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...