[HG_A] Distribution of Heilbronn variable and modular symbols
ABSTRACT
This is joint work with Hong Kwon. The Heilbronn variable is first introduced to analyze the first and second moment of the length of continued fraction on the rational numbers with a fixed denominator in the unit interval. In the talk, I will explain its history and our result on the distribution of Heilbronn variable. In the latter part, I will also explain how to extend our result to study the distribution of modular symbols.