Cycle integrals of the j-function on Markov geodesics

被引：1

作者：

Bengoechea, Paloma ^{[1
]}

机构：

[1] Swiss Fed Inst Technol, Dept Math, Ramistr 101, CH-8092 Zurich, Switzerland

来源：

COMMENTARII MATHEMATICI HELVETICI | 2022年 / 97卷 / 04期

关键词：

Modular forms; cycle integrals; j-function; Markov quadratic irrationalities; binary quadratic forms; CONTINUED FRACTIONS; MODULAR-FUNCTIONS;

D O I：

10.4171/CMH/535

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give asymptotic upper and lower bounds for the real and imaginary parts of cycle integrals of the classical modular j-function along geodesics that correspond to Markov irrationalities.

引用

页码：611 / 633

页数：23

共 19 条

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