Optimal Diophantine exponents for SL(n)

The Diophantine exponent of an action of a group on a homogeneous space, as defined by Ghosh, Gorodnik, and Nevo, quantifies the complexity of approximating the points of the homogeneous space by the points on an orbit of the group. We show that the Diophantine exponent of the SLn(Z[1/p])-action on...

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Bibliographic Details

Published in:	Advances in mathematics (New York. 1965) Vol. 443; p. 109613
Main Authors:	Jana, Subhajit, Kamber, Amitay
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01-05-2024
Subjects:	Automorphic spectrum Density hypothesis Diophantine approximation Automorphic spectrum 11F72 Diophantine approximation Density hypothesis 11J13
Online Access:	Get full text
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