Sign-Periodicity of Traces of Singular Moduli

Dohoon Choi, Byungchan Kim and Subong Lim
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Dohoon Choi: School of Liberal Arts and Sciences, Korea Aerospace University, 200-1, Hwajeon-dong, Goyang, Gyeonggi 412-791, Korea
Byungchan Kim: 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
Subong Lim: School of Mathematics, Korea Institute for Advanced Study, Hoegiro 85, Dongdaemun-gu, Seoul 130-722, Korea

Mathematics, 2013, vol. 1, issue 4, 1-8

Abstract: Zagier proved that the generating functions of traces of singular values of J m (z) are weight 3 2 weakly holomorphic modular forms. In this paper we prove that there is the sign-periodicity of traces of singular values of J m (z).

Keywords: singular moduli; sign change; circle method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2013
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