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Counting intrinsic Diophantine approximations in simple algebraic groups

Ghosh, Anish; Gorodnik, Alexander; Nevo, Amos (2022). Counting intrinsic Diophantine approximations in simple algebraic groups. Israel Journal of Mathematics, 251(2):443-466.

Abstract

We establish an explicit asymptotic formula for the number of rational solutions of intrinsic Diophantine inequalities on simply-connected simple algebraic groups, at arbitrarily small scales.

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:General Mathematics 11J83 (11E57 11F70 22E46 37)
Language:English
Date:1 December 2022
Deposited On:09 Feb 2023 17:09
Last Modified:28 Dec 2024 02:43
Publisher:Hebrew University Magnes Press
ISSN:0021-2172
OA Status:Closed
Publisher DOI:https://doi.org/10.1007/s11856-022-2428-x
Other Identification Number:MR4527546
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