Lexikos 18

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converge absolutely for any fixed τ ∈ H, by Lemma 16.11, and uniformly over τ in any compact subset of H. The proof of this last fact is straight-forward but slightly technical; see [1, Thm. 1.15] for the details. It follows that g2(τ) and g3(τ) are both holomorphic on H, and therefore ∆(τ) = g2(τ) 3 − 27g3(τ) is also holomorphic on H. Since ∆(τ) is nonzero for all τ ∈ H, by Lemma 16.21, the j-...

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ژورنال

عنوان ژورنال: Lexikos

سال: 2012

ISSN: 2224-0039

DOI: 10.5788/18-0-503