3 papers
math.NT2020
Hurwitz class numbers with level and modular correspondences
Yuya Murakami
In this paper, we prove Hurwitz-Eichler type formulas for Hurwitz class numbers with each level when the modular curve has genus zero. A key idea is to calculate i…
math.NT2019
A continuity of cycle integrals of modular functions
Yuya Murakami
In this paper we study a continuity of the "values" of modular functions at the real quadratic numbers which are defined in terms of their cycle integrals along the associated clos…
math.NT2018
Intersection numbers of modular correspondences for genus zero modular curves
Yuya Murakami
In this paper, we introduce modular polynomials for the congruence subgroup when has genus zero and therefore the polynomials are defined by a Hauptmodul of $ X…