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Asymptotic Large Sieve
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Motivated by applications to the study of L-functions, we develop an asymptotic version of the large sieve inequality for linear forms in primitive Dirichlet characters.
Forward citations
Cited by 2 Pith papers
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Critical Zeros and Unconditional Mean Value Theorems for twisted $\hbox{PGL}(2)$ and $\hbox{PGL}(3)$ $\mathrm{L}$-functions
At least 1/9 of zeros of L(s, Π₀ × χ) lie on the critical line for large Q, with new power-saving mean square asymptotics for PGL(3) twists (unconditional if self-dual) and stronger results for PGL(2).
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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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