English

Remarks on q-exponents of generalized modular functions

Number Theory 2016-02-01 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1310.3392,
  title  = {Remarks on q-exponents of generalized modular functions},
  author = {Narasimha Kumar},
  journal= {arXiv preprint arXiv:1310.3392},
  year   = {2016}
}

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R2 v1 2026-06-22T01:45:40.773Z