SOME APPLICATIONS OF MODULAR UNITS

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We show that a weakly holomorphic modular function can be written as a sum of modular units of higher level. Furthermore, we find a necessary and sufficient condition for a meromorphic Siegel modular function of degree g to have neither a zero nor a pole on a certain subset of the Siegel upper half-space H-g.
Publisher
CAMBRIDGE UNIV PRESS
Issue Date
2016-02
Language
English
Article Type
Article
Citation

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, v.59, no.1, pp.91 - 106

ISSN
0013-0915
DOI
10.1017/S0013091514000352
URI
http://hdl.handle.net/10203/207680
Appears in Collection
MA-Journal Papers(저널논문)
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