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Remarks on q-exponents of generalized modular functions

In this note, we prove multiplicity one theorems for generalized modular functions (GMF), in terms of their q-exponents, and make a general 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.

preprint2013arXivOpen access
Narasimha Kumar
math.NT
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Narasimha Kumar

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