ScienceAsia 29 (2003): 175-179 |doi: 10.2306/scienceasia1513-1874.2003.29.175

Coefficients and Exponents of Power series Repressenting Ratinal Functions

Keng Wiboontan^a, Vichian Laohakosol^b,* and Ajchara Harnchoowong^a

ABSTRACT: Using well-known results from the theory of uniform distribution modulo 1, three criteria for rationality of power series based on the shape of their coefficients and their exponents are derived. The results improve those established earlier by M Newman.

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a Department of Mathematics, Chulalongkorn University, Bangkok 10330, Thailand
b Department of Mathematics, Kasetsart University, Bangkok 10900, Thailand

* Correspondence

Received 28 Nov 2002, Accepted 19 Feb 2003