Identities for traces of singular moduli
Kathrin Bringmann, Ken Ono (2005)
Acta Arithmetica
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Kathrin Bringmann, Ken Ono (2005)
Acta Arithmetica
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Knud Lonsted (1984)
Mathematische Annalen
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M. Golubitsky, D. Tischler (1976)
Inventiones mathematicae
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Radan Kučera (2010)
Acta Arithmetica
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Mark Coleman, Andrew Swallow (2005)
Acta Arithmetica
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Kostadinka Lapkova (2012)
Acta Arithmetica
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Sheng Chen, Hong You (2003)
Acta Arithmetica
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Iwao Kimura (2003)
Acta Arithmetica
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Iwao Kimura (2004)
Acta Arithmetica
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R.W. Davis (1976)
Journal für die reine und angewandte Mathematik
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T. Figiel (1976)
Studia Mathematica
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Toru Komatsu (2002)
Acta Arithmetica
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Kok Onn Ng (1995)
Manuscripta mathematica
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Yoonjin Lee (2006)
Acta Arithmetica
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Zdeněk Polický (2009)
Acta Arithmetica
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Xiaobin Yin, Hourong Qin, Qunsheng Zhu (2005)
Acta Arithmetica
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Marius van der Put (2011)
Banach Center Publications
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This paper is a sequel to [vdP-Sa] and [vdP]. The two classes of differential modules (0,-,3/2) and (-,-,3), related to PII, are interpreted as fine moduli spaces. It is shown that these moduli spaces coincide with the Okamoto-Painlevé spaces for the given parameters. The geometry of the moduli spaces leads to a proof of the Painlevé property for PII in standard form and in the Flaschka-Newell form. The Bäcklund transformations, the rational solutions and the Riccati solutions for PII...
Bairy, K. Sushan (2009)
General Mathematics
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András Biró, Kostadinka Lapkova (2016)
Acta Arithmetica
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We solve unconditionally the class number one problem for the 2-parameter family of real quadratic fields ℚ(√d) with square-free discriminant d = (an)²+4a for positive odd integers a and n.