Kumar, Narasimha
(2015)
Remarks on q-exponents of generalized modular functions.
Functiones et Approximatio Commentarii Mathematici, 53 (2).
pp. 177-188.
ISSN 0208-6573
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Abstract
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.
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