Equidistribution in Shrinking Sets and L⁴-Norm Bounds for Automorphic Forms P Humphries

Mathematische Annalen 371 (3-4), 1497-1543, 2018

18 2018 Standard zero-free regions for Rankin–Selberg L-functions via sieve theory P Humphries

Mathematische Zeitschrift 292 (3-4), 1105-1122, 2019

13 2019 Approximation and equidistribution of phase shifts: spherical symmetry K Datchev, J Gell-Redman, A Hassell, P Humphries

Communications in Mathematical Physics 326 (1), 209-236, 2014

11 2014 The distribution of weighted sums of the Liouville function and Pólyaʼs conjecture P Humphries

Journal of Number Theory 133 (2), 545-582, 2013

9 2013 Density Theorems for Exceptional Eigenvalues for Congruence Subgroups P Humphries

Algebra & Number Theory 12 (7), 1581-1610, 2018

7 2018 On the Random Wave Conjecture for Dihedral Maaß Forms P Humphries, R Khan

Geometric and Functional Analysis 30 (1), 34-125, 2020

6 2020 Spectral Multiplicity for Maaß Newforms of Non-Squarefree Level P Humphries

International Mathematics Research Notices 2019 (18), 5703-5743, 2019

5 2019 Motohashi's fourth moment identity for non-archimedean test functions and applications V Blomer, P Humphries, R Khan, MB Milinovich

Compositio Mathematica 156 (5), 1004-1038, 2020

4 2020 The Mertens and Pólya conjectures in function fields P Humphries

The Australian National University, 2012

4 2012 Effective lower bounds for L(1,χ) via Eisenstein series P Humphries

Pacific Journal of Mathematics 288 (2), 355-375, 2017

3 2017 On the Mertens conjecture for function fields P Humphries

International Journal of Number Theory 10 (02), 341-361, 2014

3 2014 Optimal Small Scale Equidistribution of Lattice Points on the Sphere, Heegner Points, and Closed Geodesics P Humphries, M Radziwiłł

arXiv preprint arXiv:1910.01360, 2019

1 2019 Test Vectors for Nonarchimedean Godement–Jacquet Zeta Integrals P Humphries

arXiv preprint arXiv:1903.02031, 2019

1 2019 On the Mertens conjecture for elliptic curves over finite fields P Humphries

Bulletin of the Australian Mathematical Society 89 (1), 19-32, 2014

1 2014 Archimedean Newform Theory for P Humphries

arXiv preprint arXiv:2008.12406, 2020

2020 Towards a variant of the Hoheisel phenomenon P Humphries, J Thorner

arXiv preprint arXiv:2004.09488, 2020

2020 Distributing Points on the Torus via Modular Inverses P Humphries

arXiv preprint arXiv:2003.09955, 2020

2020 Biases in Prime Factorizations and Liouville Functions for Arithmetic Progressions P Humphries, SM Shekatkar, TA Wong

Journal de Théorie des Nombres de Bordeaux 31 (1), 1-25, 2019

2019