Griffin, Michael and Rolen, Larry (2015). Integrality properties of class polynomials for non-holomorphic modular functions. J. Ramanujan Math. Soc., 30 (1). S. 83 - 100. MYSORE: RAMANUJAN MATHEMATICAL SOC. ISSN 2320-3110
Full text not available from this repository.Abstract
In his paper Traces of Singular Moduli [14], Zagier studied values of certain modular functions at imaginary quadratic points known as singular moduli. He proved that traces of these algebraic integers are Fourier coefficients of certain half-integral weight modular forms. In this paper, he obtained similar results for certain non-holomorphic modular functions. However, he observed that these singular moduli are not necessarily algebraic integers. Based on numerical examples, the class polynomials whose roots are these singular moduli seem to have predictable denominators. Here we explain this phenomenon and provide a sharp bound on these denominators.
Item Type: | Journal Article | ||||||||||||
Creators: |
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URN: | urn:nbn:de:hbz:38-410854 | ||||||||||||
Journal or Publication Title: | J. Ramanujan Math. Soc. | ||||||||||||
Volume: | 30 | ||||||||||||
Number: | 1 | ||||||||||||
Page Range: | S. 83 - 100 | ||||||||||||
Date: | 2015 | ||||||||||||
Publisher: | RAMANUJAN MATHEMATICAL SOC | ||||||||||||
Place of Publication: | MYSORE | ||||||||||||
ISSN: | 2320-3110 | ||||||||||||
Language: | English | ||||||||||||
Faculty: | Unspecified | ||||||||||||
Divisions: | Unspecified | ||||||||||||
Subjects: | no entry | ||||||||||||
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URI: | http://kups.ub.uni-koeln.de/id/eprint/41085 |
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