Multiple mixing for adele groups and rational points

Alexander Gorodnik; Ramin Takloo-Bighash; Yuri Tschinkel

doi:10.1007/s40879-015-0067-z

Multiple mixing for adele groups and rational points

Alexander Gorodnik, Ramin Takloo-Bighash, Yuri Tschinkel

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We prove an asymptotic formula for the number of rational points of bounded height on projective equivariant compactifications of [InlineEquation not available: see fulltext.], where H is a connected simple algebraic group embedded diagonally into (Formula presented.).

Original language	English (US)
Pages (from-to)	441-461
Number of pages	21
Journal	European Journal of Mathematics
Volume	1
Issue number	3
DOIs	https://doi.org/10.1007/s40879-015-0067-z
State	Published - Sep 1 2015

Keywords

Counting
Heights
Mixing
Rational points

ASJC Scopus subject areas

General Mathematics

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10.1007/s40879-015-0067-z

Cite this

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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 [InlineEquation not available: see fulltext.], where H is a connected simple algebraic group embedded diagonally into (Formula presented.).",

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

author = "Alexander Gorodnik and Ramin Takloo-Bighash and Yuri Tschinkel",

note = "Publisher Copyright: {\textcopyright} 2015, Springer International Publishing AG.",

year = "2015",

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doi = "10.1007/s40879-015-0067-z",

language = "English (US)",

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AU - Gorodnik, 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 [InlineEquation not available: see fulltext.], where H is a connected simple algebraic group embedded diagonally into (Formula presented.).

AB - We prove an asymptotic formula for the number of rational points of bounded height on projective equivariant compactifications of [InlineEquation not available: see fulltext.], where H is a connected simple algebraic group embedded diagonally into (Formula presented.).

KW - Counting

KW - Heights

KW - Mixing

KW - Rational points

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JF - European Journal of Mathematics

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Multiple mixing for adele groups and rational points

Abstract

Keywords

ASJC Scopus subject areas

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