Spatial statistics for lattice points on the sphere I: Individual results

Jean Bourgain, Zeév Rudnick, Peter Sarnak

Type: Preprint

Publication Date: 2016-06-19

Citations: 4

Locations

arXiv (Cornell University) - View
arXiv (Cornell University) - View
arXiv (Cornell University) - View

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+	Nodal intersections for random waves against a segment on the 3-dimensional torus	2017	Riccardo W. Maffucci
+	Random eigenfunctions on flat tori: universality for the number of intersections	2017	Mei-Chu Chang Hoi H. Nguyen Hoi H. Nguyen Van Vu
+ PDF Chat	Restriction of toral eigenfunctions to totally geodesic submanifolds	2021	Xiaoqi Huang Cheng Zhang
+	Restriction of 3D arithmetic Laplace eigenfunctions to a plane	2019	Riccardo W. Maffucci

Works Cited by This (17)

Action	Title	Year	Authors
+ PDF	Local Statistics of Lattice Points on the Sphere	2016	Jean Bourgain Peter Sarnak Zeév Rudnick
+ PDF	Multiplicative functions of polynomial values in short intervals	1992	M. Nair
+	Linnik's ergodic method and the distribution of integer points on spheres	2010	Jordan S. Ellenberg Philippe Michel Akshay Venkatesh
+	A note on the distribution of integer points on spheres	2009	Wenzhi Luo
+	Values ofL-series of modular forms at the center of the critical strip	1981	Winfried Kohnen Don Zagier
+	Hyperbolic distribution problems and half-integral weight Maass forms	1988	William Duke
+	Representation of integers by positive ternary quadratic forms and equidistribution of lattice points on ellipsoids	1990	William Duke Rainer Schulze‐Pillot
+ PDF Chat	Central Value Of Automorphic L-Functions	2007	Ehud Moshe Baruch Zhengyu Mao
+	Heegner points, cycles and Maass forms	1993	Svetlana Katok Peter Sarnak
+	On the distribution of Fekete points	1978	Björn E. J. Dahlberg