Traces of singular moduli and the Fourier coefficients of the elliptic modular function j（T）.

Masanobu Kaneko

Traces of singular moduli and the Fourier coefficients of the elliptic modular function j（T）.

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Abstract

We　give　a　closed　formula　for　the　Fourier　coeMcients　of　the　elliptic modular function（T） expressed in terms of singular moduli, i.e．the　values at imaginary　quadratic arguments．The formula is a consequence of a theorem of Zagier．

Original language	English
Pages (from-to)	173-176
Number of pages	4
Journal	CRM Proceedings and Lecture Notes
Volume	19
Publication status	Published - 1999

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title = "Traces of singular moduli and the Fourier coefficients of the elliptic modular function j（T）.",

abstract = "We　give　a　closed　formula　for　the　Fourier　coeMcients　of　the　elliptic modular function（T） expressed in terms of singular moduli, i.e．the　values at imaginary　quadratic arguments．The formula is a consequence of a theorem of Zagier．",

author = "Masanobu Kaneko",

year = "1999",

language = "English",

volume = "19",

pages = "173--176",

journal = "CRM Proceedings and Lecture Notes",

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AU - Kaneko, Masanobu

PY - 1999

Y1 - 1999

N2 - We　give　a　closed　formula　for　the　Fourier　coeMcients　of　the　elliptic modular function（T） expressed in terms of singular moduli, i.e．the　values at imaginary　quadratic arguments．The formula is a consequence of a theorem of Zagier．

AB - We　give　a　closed　formula　for　the　Fourier　coeMcients　of　the　elliptic modular function（T） expressed in terms of singular moduli, i.e．the　values at imaginary　quadratic arguments．The formula is a consequence of a theorem of Zagier．

M3 - Article

VL - 19

SP - 173

EP - 176

JO - CRM Proceedings and Lecture Notes

JF - CRM Proceedings and Lecture Notes

ER -

Traces of singular moduli and the Fourier coefficients of the elliptic modular function j（T）.

Abstract

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