A prime geodesic theorem for SL3(Z)

Anton Deitmar, Polyxeni Spilioti, Yasuro Gon

研究成果: ジャーナルへの寄稿 › 記事

抄録

We show a prime geodesic theorem for the group SL3(Z) counting those geodesics whose lifts lie in the split Cartan subgroup. This is the first arithmetic prime geodesic theorem of higher rank for a non-cocompact group.

元の言語英語
ページ（範囲）1179-1201
ジャーナルForum Mathematicum
巻31
発行部数5
DOI
出版物ステータス出版済み - 1 1 2019

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Geodesic
Theorem
Counting
Subgroup

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

これを引用

A prime geodesic theorem for SL3(Z). / Deitmar, Anton; Spilioti, Polyxeni; Gon, Yasuro.

：: Forum Mathematicum, 巻 31, 番号 5, 01.01.2019, p. 1179-1201.

研究成果: ジャーナルへの寄稿 › 記事

Deitmar, A, Spilioti, P & Gon, Y 2019, 'A prime geodesic theorem for SL3(Z)', Forum Mathematicum, 巻. 31, 番号 5, pp. 1179-1201. https://doi.org/10.1515/forum-2019-0008
Deitmar A, Spilioti P, Gon Y. A prime geodesic theorem for SL3(Z). Forum Mathematicum. 2019 1 1;31(5):1179-1201. https://doi.org/10.1515/forum-2019-0008
Deitmar, Anton ; Spilioti, Polyxeni ; Gon, Yasuro. / A prime geodesic theorem for SL3(Z). ：: Forum Mathematicum. 2019 ; 巻 31, 番号 5. pp. 1179-1201.
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