Sign-Periodicity of Traces of Singular Moduli

Mathematics

Dohoon Choi²  Byungchan Kim¹ 

[1] School of Liberal Arts and Institute of Convergence Fundamental Studies, Seoul National University of Science and Technology, 172 Gongreung 2 dong, Nowongu, Seoul 139–743, Korea; E-Mail:;School of Liberal Arts and Sciences, Korea Aerospace University, 200-1, Hwajeon-dong, Goyang, Gyeonggi 412-791, Korea; E-Mail:

关键词: singular moduli;    sign change;    circle method;   

DOI  :  10.3390/math1040111

来源: mdpi

【 摘 要 】

Zagier proved that the generating functions of traces of singular values of J_m(z) are weightweakly holomorphic modular forms. In this paper we prove that there is the sign-periodicity of traces of singular values of J_m(z).

【 授权许可】

CC BY   
© 2013 by the authors; licensee MDPI, Basel, Switzerland.