Peter Humphries

activity

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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Showing 2021Show all

2 papers · 1 filter

math.NT2021★ 7 cited

Test Vectors for Archimedean Period Integrals

Peter Humphries, Yeongseong Jo

We study period integrals involving Whittaker functions associated to generic irreducible Casselman-Wallach representations of $GL_{n} (F)$ , where $F$ is an archimedean local…

math.NT2021★ 3 cited

Zeros of Rankin-Selberg $L$ -functions in families

Peter Humphries, Jesse Thorner

Let $F_{n}$ be the set of all cuspidal automorphic representations $π$ of $GL_{n}$ with unitary central character over a number field $F$ . We prove the first uncond…

Test Vectors for Archimedean Period Integrals

Zeros of Rankin-Selberg L-functions in families

Zeros of Rankin-Selberg $L$ -functions in families