An arithmetic property of the Taylor coefficients of analytic functions with an application to transcendental numbers-Reference-Cited by-同舟云学术

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

Published:1985 Issue:2 Volume:93 Page:212-214
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Laohakosol Vichian

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1985-093-02/S0002-9939-1985-0770521-2/S0002-9939-1985-0770521-2.pdf

Reference5 articles.

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2. Note on almost-algebraic numbers;Cohn, Harvey;Bull. Amer. Math. Soc.,1946

3. Arithmetic properties of lacunary power series with integral coefficients;Mahler, K.;J. Austral. Math. Soc.,1965

4. Arithmetical properties of the Taylor coefficients of algebraic functions;Popken, J.;Nederl. Akad. Wetensch. Proc. Ser. A 62 = Indag. Math.,1959

5. Rational approximations to algebraic numbers;Ridout, D.;Mathematika,1957

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