The Prime Geodesic Theorem in Arithmetic Progressions

IF 0.9 2区数学 Q2 MATHEMATICS

International Mathematics Research Notices Pub Date : 2024-09-14 DOI:10.1093/imrn/rnae198

Dimitrios Chatzakos, Gergely Harcos, Ikuya Kaneko

引用次数: 0

Abstract

We address the prime geodesic theorem in arithmetic progressions and resolve conjectures of Golovchanskiĭ–Smotrov (1999). In particular, we prove that the traces of closed geodesics on the modular surface do not equidistribute in the reduced residue classes of a given modulus.

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算术级数中的质数大地定理

我们讨论了算术级数中的素大地定理，并解决了 Golovchanskiĭ-Smotrov (1999) 的猜想。特别是，我们证明了在给定模数的还原残差类中，模数面上闭合大地线的轨迹不等分布。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Mathematics Research Notices 数学-数学

CiteScore

2.00

自引率

10.00%

发文量

316

审稿时长

1 months

期刊介绍： International Mathematics Research Notices provides very fast publication of research articles of high current interest in all areas of mathematics. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics.