Sign-periodicity of traces of singular moduli

Dohoon Choi; Byungchan Kim; Subong Lim

doi:10.3390/math1040111

Sign-periodicity of traces of singular moduli

Dohoon Choi, Byungchan Kim, Subong Lim

School of Natural Sciences

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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).

Original language	English
Pages (from-to)	111-118
Number of pages	8
Journal	Mathematics
Volume	1
Issue number	4
DOIs	https://doi.org/10.3390/math1040111
State	Published - 1 Dec 2013

Keywords

Circle method
Sign change
Singular moduli

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title = "Sign-periodicity of traces of singular moduli",

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 = "Circle method, Sign change, Singular moduli",

author = "Dohoon Choi and Byungchan Kim and Subong Lim",

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year = "2013",

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AU - Kim, Byungchan

AU - Lim, Subong

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N2 - 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).

AB - 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).

KW - Circle method

KW - Sign change

KW - Singular moduli

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U2 - 10.3390/math1040111

DO - 10.3390/math1040111

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SN - 2227-7390

VL - 1

SP - 111

EP - 118

JO - Mathematics

JF - Mathematics

IS - 4

ER -

Sign-periodicity of traces of singular moduli

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Keywords

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