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math.NT2021★ 1 cited
Discrepancy of rational points in simple algebraic groups
Alexander Gorodnik, Amos Nevo
The present paper analyzes the discrepancy of distribution of rational points on general semisimple algebraic group varieties. The results include mean-square, almost sure, and uni…
math.NT2021
Counting intrinsic Diophantine approximations in simple algebraic groups
Anish Ghosh, Alex Gorodnik, Amos Nevo
We establish an explicit asymptotic formula for the number of rational solutions of intrinsic Diophantine inequalities on simply-connected simple algebraic groups, at arbitrarily s…