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An arithmetic property of the Taylor coefficients of analytic functions with an application to transcendental numbers


Author: Vichian Laohakosol
Journal: Proc. Amer. Math. Soc. 93 (1985), 212-214
MSC: Primary 11J81; Secondary 30B10
DOI: https://doi.org/10.1090/S0002-9939-1985-0770521-2
MathSciNet review: 770521
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Abstract: We extend a result of Popken concerning the numerators of the Taylor coefficients of algebraic functions and combine it with a result of Mahler on lacunary power series to prove an extension of a special case of a result of Cohn on the transcendence of functional values of lacunary power series evaluated at rational points.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1985-0770521-2
Article copyright: © Copyright 1985 American Mathematical Society

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