We prove several multiplicity one theorems for generalized modular functions (GMF), in terms of their q-exponents, and make a precise statement about the nature of values that the prime q-exponents of a GMF can take. We shall also study the integrality of general q-exponents of a GMF and give an upper bound on the first sign change of these q-exponents. © Uniwersytet im. Adama Mickiewicza w Poznaniu Wydawnictwo Naukowe UAM, Poznan 2015.

VG Narasimha Kumar Cheraku

Department of Mathematics

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Journal	Functiones et Approximatio, Commentarii Mathematici
Publisher	Adam Mickiewicz University Press
ISSN	02086573