| Standard zero-free regions for Rankin–Selberg -functions via sieve theory P Humphries Mathematische Zeitschrift 292 (3-4), 1105-1122, 2019 | 41 | 2019 |
| Equidistribution in Shrinking Sets and -Norm Bounds for Automorphic Forms P Humphries Mathematische Annalen 371 (3-4), 1497-1543, 2018 | 38 | 2018 |
| The distribution of weighted sums of the Liouville function and Pólyaʼs conjecture P Humphries Journal of Number Theory 133 (2), 545-582, 2013 | 27 | 2013 |
| 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 | 26 | 2020 |
| On the Random Wave Conjecture for Dihedral Maaß Forms P Humphries, R Khan Geometric and Functional Analysis 30 (1), 34-125, 2020 | 23 | 2020 |
| Density Theorems for Exceptional Eigenvalues for Congruence Subgroups P Humphries Algebra & Number Theory 12 (7), 1581-1610, 2018 | 19* | 2018 |
| Optimal Small Scale Equidistribution of Lattice Points on the Sphere, Heegner Points, and Closed Geodesics P Humphries, M Radziwiłł Communications on Pure and Applied Mathematics 75 (9), 1936-1996, 2022 | 13* | 2022 |
| 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 | 13* | 2014 |
| Spectral Multiplicity for Maaß Newforms of Non-Squarefree Level P Humphries International Mathematics Research Notices 2019 (18), 5703-5743, 2019 | 11 | 2019 |
| Towards a variant of the Hoheisel phenomenon P Humphries, J Thorner Transactions of the American Mathematical Society 375 (3), 1801-1824, 2022 | 9* | 2022 |
| The Mertens and Pólya conjectures in function fields P Humphries The Australian National University, 2012 | 9 | 2012 |
| -Norm Bounds for Automorphic Forms via Spectral Reciprocity P Humphries, R Khan arXiv preprint arXiv:2208.05613, 2022 | 8 | 2022 |
| Distributing Points on the Torus via Modular Inverses P Humphries The Quarterly Journal of Mathematics 73 (1), 1-16, 2022 | 7 | 2022 |
| On the Mertens conjecture for function fields P Humphries International Journal of Number Theory 10 (02), 341-361, 2014 | 7 | 2014 |
| Effective lower bounds for via Eisenstein series P Humphries Pacific Journal of Mathematics 288 (2), 355-375, 2017 | 5 | 2017 |
| Zeros of Rankin–Selberg -functions in families P Humphries, J Thorner Compositio Mathematica 160 (5), 1041-1072, 2024 | 4 | 2024 |
| Test Vectors for Non-Archimedean Godement–Jacquet Zeta Integrals P Humphries Bulletin of the London Mathematical Society 53 (1), 92-99, 2021 | 4 | 2021 |
| Archimedean Newform Theory for P Humphries arXiv preprint arXiv:2008.12406, 2020 | 4 | 2020 |
| Test Vectors for Archimedean Period Integrals P Humphries, Y Jo Publicacions Matemàtiques 68 (1), 139-185, 2024 | 3* | 2024 |
| The Twelfth Moment of Hecke -Functions in the Weight Aspect P Humphries, R Khan arXiv preprint arXiv:2207.00543, 2022 | 3 | 2022 |
Rizwanur KhanUniversity of Texas at DallasVerified email at utdallas.edu
