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Modular equations for congruence subgroups of genus zero

Authors
Cho, Bumkyu
Issue Date
Jan-2020
Publisher
SPRINGER
Keywords
Modular equations; Modular polynomials; Kronecker's congruence relation
Citation
RAMANUJAN JOURNAL, v.51, no.1, pp 187 - 204
Pages
18
Indexed
SCIE
SCOPUS
Journal Title
RAMANUJAN JOURNAL
Volume
51
Number
1
Start Page
187
End Page
204
URI
https://scholarworks.dongguk.edu/handle/sw.dongguk/7055
DOI
10.1007/s11139-018-0116-6
ISSN
1382-4090
1572-9303
Abstract
It is well known that the modular equation for the full modular group satisfies several properties such as Kronecker's congruence relation. In this article, we prove that the modular equation for any congruence subgroup Gamma(1)(m)boolean AND Gamma(0)(mN) of genus zero satisfies similar properties including Kronecker's congruence relation.
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College of Natural Science (Department of Mathematics)
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