Multiple mixing for adele groups and rational points

Alexander Gorodnik (Gorodnyk); Ramin Takloo-Bighash; Yuri Tschinkel

doi:10.1007/s40879-015-0067-z

Multiple mixing for adele groups and rational points

Alexander Gorodnik (Gorodnyk), Ramin Takloo-Bighash, Yuri Tschinkel^*

^*Corresponding author for this work

Research output: Contribution to journal › Article (Academic Journal) › peer-review

5 Citations (Scopus)

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Abstract

We prove an asymptotic formula for the number of rational points of bounded height on projective equivariant compactifications of H \ G, where H is a connected simple algebraic group embedded diagonally into G=Hⁿ.

Original language	English
Pages (from-to)	441-461
Number of pages	21
Journal	European Journal of Mathematics
Volume	1
Issue number	3
Early online date	6 Aug 2015
DOIs	https://doi.org/10.1007/s40879-015-0067-z
Publication status	Published - 1 Sept 2015

Keywords

Counting
Heights
Mixing
Rational points

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This is the author accepted manuscript (AAM). The final published version (version of record) is available online via Springer at http://link.springer.com/article/10.1007%2Fs40879-015-0067-z. Please refer to any applicable terms of use of the publisher.
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title = "Multiple mixing for adele groups and rational points",

abstract = "We prove an asymptotic formula for the number of rational points of bounded height on projective equivariant compactifications of H \textbackslash{} G, where H is a connected simple algebraic group embedded diagonally into G=Hn.",

keywords = "Counting, Heights, Mixing, Rational points",

author = "\{Gorodnik (Gorodnyk)\}, Alexander and Ramin Takloo-Bighash and Yuri Tschinkel",

year = "2015",

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T1 - Multiple mixing for adele groups and rational points

AU - Gorodnik (Gorodnyk), Alexander

AU - Takloo-Bighash, Ramin

AU - Tschinkel, Yuri

PY - 2015/9/1

Y1 - 2015/9/1

N2 - We prove an asymptotic formula for the number of rational points of bounded height on projective equivariant compactifications of H \ G, where H is a connected simple algebraic group embedded diagonally into G=Hn.

AB - We prove an asymptotic formula for the number of rational points of bounded height on projective equivariant compactifications of H \ G, where H is a connected simple algebraic group embedded diagonally into G=Hn.

KW - Counting

KW - Heights

KW - Mixing

KW - Rational points

UR - https://www.scopus.com/pages/publications/84958686284

U2 - 10.1007/s40879-015-0067-z

DO - 10.1007/s40879-015-0067-z

M3 - Article (Academic Journal)

SN - 2199-675X

VL - 1

SP - 441

EP - 461

JO - European Journal of Mathematics

JF - European Journal of Mathematics

IS - 3

ER -

Multiple mixing for adele groups and rational points

Abstract

Keywords

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