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Transcendence of special values of quasi-modular forms
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Transcendence of special values of quasi-modular forms

Forum Mathematicum, Vol.24(3), pp.539-551
05/2012

Abstract

Drinfeld quasi-modular forms quasi-modular forms Transcendence
Given a quasi-modular form f of nonzero weight for SL 2 (ℤ) with algebraic Fourier coefficients, we consider the nonzero values of f at the algebraic points of the moduli space SL 2 (ℤ)ℍ. We show that these special values are transcendental numbers. We also establish the analogous result in the setting of Drinfeld quasi-modular forms. © 2012 by Walter de Gruyter Berlin Boston.

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