Some applications of eta-quotients

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We show that every modular form on Gamma(0)(2(n)) (n >= 2) can be expressed as a sum of eta-quotients, which is a partial answer to Ono's problem. Furthermore, we construct a primitive generator of the ring class field of the order of conductor 4N (N >= 1) in an imaginary quadratic field in terms of the special value of a certain eta-quotient.
Publisher
CAMBRIDGE UNIV PRESS
Issue Date
2016-06
Language
English
Article Type
Article
Citation

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, v.146, no.3, pp.565 - 578

ISSN
0308-2105
DOI
10.1017/S030821051500061X
URI
http://hdl.handle.net/10203/214141
Appears in Collection
MA-Journal Papers(저널논문)
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