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Mathematics, Volume 1, Issue 4 (December 2013), Pages 111-118

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Research

Open AccessArticle Sign-Periodicity of Traces of Singular Moduli
Mathematics 2013, 1(4), 111-118; doi:10.3390/math1040111
Received: 9 August 2013 / Revised: 9 September 2013 / Accepted: 8 October 2013 / Published: 15 October 2013
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Abstract
Zagier proved that the generating functions of traces of singular values of Jm(z) are weight 32 weakly holomorphic modular forms. In this paper we prove that there is the sign-periodicity of traces of singular values of Jm(z).
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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). Full article

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