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Algebraic values of certain analytic functions defined by a canonical\n product

2019/07/24 by Taboka Chalebgwa, Chalebgwa, Taboka Prince
Mathematics · #Analytic Number Theory Research #Advanced Mathematical Identities #Commutative Algebra and Its Applications

paper · pdf · doi:10.48550/arxiv.1907.10463

Abstract

We give a partial answer to a question attributed to Chris Miller on\nalgebraic values of certain transcendental functions of order less than one. We\nobtain C(logH)n bounds for the number of algebraic points of height at most H\non certain subsets of the graphs of such functions. The constant C and exponent\nn depend on certain data associated with the functions and can be effectively\ncomputed from them.\n

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