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An arithmetic remark on entire periodic functions

Published online by Cambridge University Press:  17 April 2009

Kurt Mahler
Kurt Mahler
Affiliation:
Department of Mathematics, Ohio State University, Columbus, Ohio, USA.
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Abstract

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For every positive number w, there exists an odd entire transcendental function

.

with rational integral coefficients ah such that f〈z+w〉 = f〈z〉.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 5 , Issue 2 , October 1971 , pp. 191 - 195
Copyright
Copyright © Australian Mathematical Society 1971

References

[1]Schneider, Theodor, Einführung in die transzendenten Zahlen (Grundlehren der mathematischen Wissenschaften, Band 81. Springer-Verlag, Berlin, Güttingen, Heidelberg, 1957).CrossRefGoogle Scholar