Sign-Periodicity of Traces of Singular Moduli
School of Liberal Arts and Sciences, Korea Aerospace University, 200-1, Hwajeon-dong, Goyang, Gyeonggi 412-791, Korea
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
School of Mathematics, Korea Institute for Advanced Study, Hoegiro 85, Dongdaemun-gu, Seoul 130-722, Korea
Author to whom correspondence should be addressed.
Received: 9 August 2013 / Revised: 9 September 2013 / Accepted: 8 October 2013 / Published: 15 October 2013
Zagier proved that the generating functions of traces of singular values of Jm(z)
weakly holomorphic modular forms. In this paper we prove that there is the sign-periodicity of traces of singular values of Jm(z).
This is an open access article distributed under the Creative Commons Attribution License
(CC BY 3.0).
Scifeed alert for new publications
Never miss any articles
matching your research from any publisher
- Get alerts for new papers matching your research
- Find out the new papers from selected authors
- Updated daily for 49'000+ journals and 6000+ publishers
Define your Scifeed now
Share & Cite This Article
MDPI and ACS Style
Choi, D.; Kim, B.; Lim, S. Sign-Periodicity of Traces of Singular Moduli. Mathematics 2013, 1, 111-118.
Choi D, Kim B, Lim S. Sign-Periodicity of Traces of Singular Moduli. Mathematics. 2013; 1(4):111-118.
Choi, Dohoon; Kim, Byungchan; Lim, Subong. 2013. "Sign-Periodicity of Traces of Singular Moduli." Mathematics 1, no. 4: 111-118.
Show more citation formats
Show less citations formats
[Return to top]
For more information on the journal statistics, click here
Multiple requests from the same IP address are counted as one view.