Optimal Small Scale Equidistribution of Lattice Points on the Sphere, Heegner Points, and Closed Geodesics

DOI10.1002/cpa.22076zbMath1504.11084arXiv1910.01360OpenAlexW2978510797WikidataQ114237998 ScholiaQ114237998MaRDI QIDQ5043758

Peter J. Humphries, Maksym Radziwiłł

Publication date: 6 October 2022

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.01360

zbMATH Keywords

variancenumber of lattice pointsclosed geodesicsHeegner points

Mathematics Subject Classification ID

Quadratic forms over global rings and fields (11E12) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Well-distributed sequences and other variations (11K36)

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Some recents advances on Duke’s equidistribution theorems ⋮ On the splitting conjecture in the hybrid model for the Riemann zeta function ⋮ On the random wave conjecture for dihedral Maaß forms

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