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 2022Show all

3 papers · 1 filter

math.NT2022★ 1 cited

Sparse Equidistribution of Geometric Invariants of Real Quadratic Fields

Peter Humphries, Asbjørn Christian Nordentoft

Duke, Imamoglu, and Tóth have recently constructed a new geometric invariant, a hyperbolic orbifold, associated to each narrow ideal class of a real quadratic field. Furthermore, t…

math.NT2022★ 1 cited

$L^{p}$ -Norm Bounds for Automorphic Forms via Spectral Reciprocity

Peter Humphries, Rizwanur Khan

Let $g$ be a Hecke-Maass cusp form on the modular surface $SL_{2} (Z) \ H$ , namely an $L^{2}$ -normalised nonconstant Laplacian eigenfunction on ${\rm SL}_…

math.NT2022★ 3 cited

The Twelfth Moment of Hecke $L$ -Functions in the Weight Aspect

Peter Humphries, Rizwanur Khan

We prove an upper bound for the twelfth moment of Hecke $L$ -functions associated to holomorphic Hecke cusp forms of weight $k$ in a dyadic interval $T \leq k \leq 2 T$ as $T$ tends…

Sparse Equidistribution of Geometric Invariants of Real Quadratic Fields

Lp-Norm Bounds for Automorphic Forms via Spectral Reciprocity

The Twelfth Moment of Hecke L-Functions in the Weight Aspect

$L^{p}$ -Norm Bounds for Automorphic Forms via Spectral Reciprocity

The Twelfth Moment of Hecke $L$ -Functions in the Weight Aspect