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Mathematics 2013, 1(4), 111-118; doi:10.3390/math1040111
Article

Sign-Periodicity of Traces of Singular Moduli

1
, 2
 and 3,*
Received: 9 August 2013; in revised form: 9 September 2013 / Accepted: 8 October 2013 / Published: 15 October 2013
Download PDF [185 KB, uploaded 15 October 2013]
Abstract: Zagier proved that the generating functions of traces of singular values of Jm(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 Jm(z).
Keywords: singular moduli; sign change; circle method singular moduli; sign change; circle method
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Choi, D.; Kim, B.; Lim, S. Sign-Periodicity of Traces of Singular Moduli. Mathematics 2013, 1, 111-118.

AMA Style

Choi D, Kim B, Lim S. Sign-Periodicity of Traces of Singular Moduli. Mathematics. 2013; 1(4):111-118.

Chicago/Turabian Style

Choi, Dohoon; Kim, Byungchan; Lim, Subong. 2013. "Sign-Periodicity of Traces of Singular Moduli." Mathematics 1, no. 4: 111-118.


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