Hilbert's irreducibility theorem and the larger sieve
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hilbertirreducibilitylargersievetheoremadelicapplicationsassociated
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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 images of the adelic representation associated to elliptic curves varying in rational families.
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Forward citations
Cited by 2 Pith papers
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The large sieve for self-dual Eisenstein series of varying levels
Proves an essentially optimal large sieve inequality for self-dual Eisenstein series of varying levels using a recursive method.
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