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Large value estimates in number theory, harmonic analysis, and computer science
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We survey large value problems, including the large value problem for Dirichlet polynomials, the restriction problem, and problems from computer science. We describe known techniques and open problems, drawing on perspectives from all three fields.
Forward citations
Cited by 2 Pith papers
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Weighted $L^2$ estimates with applications to $L^p$ problems
New weighted L2 estimates with exponent 2/9 for broad Fourier extension operators on 1D fractals yield improvements to maximal Schrodinger, maximal extension, circular Lp decay, and an Lp Mizohata-Takeuchi inequality.
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Galois groups of random integer matrices
The paper improves the trivial count of integer matrices with non-generic characteristic polynomial Galois group from T^{n^2} to T^{n^2-1/2} log T, and gives sharper bounds for special matrix classes.
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