The Values of Modular Functions and Modular Forms
2006 ◽
Vol 49
(4)
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pp. 526-535
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Keyword(s):
AbstractLet Γ0 be a Fuchsian group of the first kind of genus zero and Γ be a subgroup of Γ0 of finite index of genus zero. We find universal recursive relations giving the qr-series coefficients of j0 by using those of the qhs -series of j, where j is the canonical Hauptmodul for Γ and j0 is a Hauptmodul for Γ0 without zeros on the complex upper half plane (here qℓ := e2πiz/ℓ). We find universal recursive formulas for q-series coefficients of any modular form on in terms of those of the canonical Hauptmodul .
2009 ◽
Vol 05
(08)
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pp. 1433-1446
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Keyword(s):
2012 ◽
Vol 08
(04)
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pp. 963-981
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Keyword(s):
2011 ◽
Vol 63
(6)
◽
pp. 1284-1306
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Keyword(s):
2009 ◽
Vol 05
(05)
◽
pp. 845-857
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Keyword(s):
1980 ◽
Vol 88
(3)
◽
pp. 409-423
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Keyword(s):
2011 ◽
Vol 07
(05)
◽
pp. 1229-1245
Keyword(s):
Keyword(s):
1997 ◽
Vol 39
(2)
◽
pp. 131-140
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