Algebraic values of certain analytic functions defined by a canonical product
Number Theory
2019-07-25 v1 Complex Variables
Abstract
We give a partial answer to a question attributed to Chris Miller on algebraic values of certain transcendental functions of order less than one. We obtain C(logH)^n bounds for the number of algebraic points of height at most H on certain subsets of the graphs of such functions. The constant C and exponent n depend on certain data associated with the functions and can be effectively computed from them.
Keywords
Cite
@article{arxiv.1907.10463,
title = {Algebraic values of certain analytic functions defined by a canonical product},
author = {Taboka Prince Chalebgwa},
journal= {arXiv preprint arXiv:1907.10463},
year = {2019}
}
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11 pages