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20112026
most citedStandard Zero-Free Regions for Rankin--Selberg L-Functions via Sieve Theory

32 citations · 177 across the 24 of their papers we have counts for

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math.NT2016★ 10 cited

Density Theorems for Exceptional Eigenvalues for Congruence Subgroups

Peter Humphries

Using the Kuznetsov formula, we prove several density theorems for exceptional Hecke and Laplacian eigenvalues of Maass cusp forms of weight 0 or 1 for the congruence subgroups $Γ_…

math.NT2016★ 3 cited

Effective Lower Bounds for L(1,χ) via Eisenstein Series

Peter Humphries

We give effective lower bounds for via Eisenstein series on . The proof uses the Maass-Selberg relation for truncated Eisenstein series and s…