Counting lattice points

Alexander Gorodnik, Amos Nevo

Type: Preprint

Publication Date: 2009-01-01

Citations: 11

DOI: https://doi.org/10.48550/arxiv.0903.1515

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	The ergodic theory of lattice subgroups	2006	Alexander Gorodnik Amos Nevo
+	Poisson-Voronoi tessellations and fixed price in higher rank	2023	Mikołaj Frączyk Sam Mellick Amanda Wilkens
+ PDF Chat	Ω-estimates in lattice point theory	1979	Bohuslav Diviš
+	Counting in generic lattices and higher rank actions	2021	Michael Björklund Alexander Gorodnik
+	Counting in generic lattices and higher rank actions	2021	Michael Björklund Alexander Gorodnik
+	Discrepancy of rational points in simple algebraic groups	2021	Alexander Gorodnik Amos Nevo
+	Counting Lattice Points	2000	C. D. Olds Anneli Lax Giuliana P. Davidoff
+	The Ergodic Theory of Lattice Subgroups (AM-172)	2009	Alexander Gorodnik Amos Nevo
+	Quantitative ergodic theorems and their number-theoretic applications	2013	Alex Gorodnik Amos Nevo
+	Quantitative ergodic theorems and their number-theoretic applications	2013	Alex Gorodnik Amos Nevo
+	Matrix coefficients, Counting and Primes for orbits of geometrically finite groups	2012	Amir Mohammadi Hee Oh
+ PDF Chat	The hyperbolic lattice point count in infinite volume with applications to sieves	2009	Alex Kontorovich
+	Matrix coefficients, Counting and Primes for orbits of geometrically finite groups	2012	Amir Mohammadi Hee Oh
+	Asymptotic-geometric and ergodic properties of sets of lattice points on a sphere	1960	Yu. V. Linnik
+ PDF Chat	Quantitative ergodic theorems and their number-theoretic applications	2014	Alexander Gorodnik Amos Nevo
+	Lattice Point Problems: Crossroads of Number Theory, Probability Theory and Fourier Analysis	2004	József Beck
+ PDF Chat	Discrepancy of rational points in simple algebraic groups	2024	Alexander Gorodnik Amos Nevo
+	Moments of the number of points in a bounded set for number field lattices	2023	Nihar Gargava Vlad Serban Maryna Viazovska
+	On Sarnak's Density Conjecture and its Applications	2020	Konstantin Golubev Amitay Kamber
+	Counting in Lattice Orbits	2024	Alex Kontorovich Christopher Lutsko

Works That Cite This (11)

Action	Title	Year	Authors
+	Diophantine approximation and automorphic spectrum	2010	Anish Ghosh Alexander Gorodnik Amos Nevo
+	Prime and almost prime integral points on principal homogeneous spaces	2009	Amos Nevo Peter Sarnak
+ PDF Chat	Splitting fields of elements in arithmetic groups	2011	Alexander Gorodnik Amos Nevo
+	Decay on homogeneous spaces of reductive type	2011	Bernhard Kr Eitan Sayag Henrik Schlichtkrull
+ PDF Chat	Lifting, restricting and sifting integral points on affine homogeneous varieties	2012	Alexander Gorodnik Amos Nevo
+ PDF Chat	Prime and almost prime integral points on principal homogeneous spaces	2010	Amos Nevo Peter Sarnak
+	A uniform spectral gap for congruence covers of a hyperbolic manifold	2010	Dubi Kelmer Lior Silberman
+ PDF Chat	Integral points of bounded height on compactifications of semi-simple groups	2013	Ramin Takloo-Bighash Yuri Tschinkel
+	Geometric covering arguments and ergodic theorems for free groups	2009	Lewis Bowen Amos Nevo
+	Lattice points for products of upper half planes	2009	Roelof W. Bruggeman Fritz Grunewald Roberto J. Miatello

Works Cited by This (48)

Action	Title	Year	Authors
+ PDF Chat	Hyperfunctions and harmonic analysis on symmetric spaces	1986	Henrik Schlichtkrull
+	Uniform pointwise bounds for matrix coefficients of unitary representations and applications to Kazhdan constants	2002	Hee Oh
+	Introduction to Harmonic Analysis on Reductive P-adic Groups. (MN-23): Based on lectures by Harish-Chandra at The Institute for Advanced Study, 1971-73	2015	Allan J. Silberger
+	Pointwise ergodic theorems for radial averages on simple Lie groups I	1994	Amos Nevo
+	None	2001	M. N. Huxley Anatoly Zhigljavsky
+ PDF Chat	The resolvent of the Laplacian on locally symmetric spaces	1992	Roberto J. Miatello Nolan R. Wallach
+	Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups	2000	A. Borel Nolan R. Wallach
+	The ergodic theory of lattice subgroups	2006	Alexander Gorodnik Amos Nevo
+	Manin's conjecture on rational points of bounded height and adelic mixing	2006	Alex Gorodnik François Maucourant Hee Oh
+	The regular representation of restricted direct product groups	1977	Bruce Blackadar