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Peter Humphries
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Cited by
Year
Standard zero-free regions for Rankin–Selberg -functions via sieve theory
P Humphries
Mathematische Zeitschrift 292 (3-4), 1105-1122, 2019
462019
Equidistribution in Shrinking Sets and -Norm Bounds for Automorphic Forms
P Humphries
Mathematische Annalen 371 (3-4), 1497-1543, 2018
412018
The distribution of weighted sums of the Liouville function and Pólyaʼs conjecture
P Humphries
Journal of Number Theory 133 (2), 545-582, 2013
302013
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
262020
On the Random Wave Conjecture for Dihedral Maaß Forms
P Humphries, R Khan
Geometric and Functional Analysis 30 (1), 34-125, 2020
232020
Density Theorems for Exceptional Eigenvalues for Congruence Subgroups
P Humphries
Algebra & Number Theory 12 (7), 1581-1610, 2018
202018
-Norm Bounds for Automorphic Forms via Spectral Reciprocity
P Humphries, R Khan
arXiv preprint arXiv:2208.05613, 2022
152022
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
15*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
Towards a variant of the Hoheisel phenomenon
P Humphries, J Thorner
Transactions of the American Mathematical Society 375 (3), 1801-1824, 2022
12*2022
Spectral Multiplicity for Maaß Newforms of Non-Squarefree Level
P Humphries
International Mathematics Research Notices 2019 (18), 5703-5743, 2019
102019
The Mertens and Pólya conjectures in function fields
P Humphries
The Australian National University, 2012
102012
Distributing Points on the Torus via Modular Inverses
P Humphries
The Quarterly Journal of Mathematics 73 (1), 1-16, 2022
92022
Test Vectors for Archimedean Period Integrals
P Humphries, Y Jo
Publicacions Matemàtiques 68 (1), 139-185, 2024
7*2024
On the Mertens conjecture for function fields
P Humphries
International Journal of Number Theory 10 (02), 341-361, 2014
72014
Test Vectors for Non-Archimedean Godement–Jacquet Zeta Integrals
P Humphries
Bulletin of the London Mathematical Society 53 (1), 92-99, 2021
62021
The Twelfth Moment of Hecke -Functions in the Weight Aspect
P Humphries, R Khan
Mathematische Annalen 389 (4), 3935-3974, 2024
52024
Zeros of Rankin–Selberg -functions in families
P Humphries, J Thorner
Compositio Mathematica 160 (5), 1041-1072, 2024
52024
Archimedean Newform Theory for
P Humphries
arXiv preprint arXiv:2008.12406, 2020
5*2020
Effective lower bounds for via Eisenstein series
P Humphries
Pacific Journal of Mathematics 288 (2), 355-375, 2017
52017
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