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2018 Generalized palindromic continued fractions
David M. Freeman
Rocky Mountain J. Math. 48(1): 219-236 (2018). DOI: 10.1216/RMJ-2018-48-1-219

Abstract

In this paper, we introduce a generalization of palindromic continued fractions as studied by Adamczewski and Bugeaud. We refer to these generalized palindromes as $m$-palindromes, where $m$ ranges over the positive integers. We provide a simple transcendency criterion for $m$-palindromes, extending and slightly refining an analogous result of Adamczewski and Bugeaud. We also provide methods for constructing examples of $m$-palindromes. Such examples allow us to illustrate our transcendency criterion and to explore the relationship between $m$-palindromes and stammering continued fractions, another concept introduced by Adamczewski and Bugeaud.

Citation

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David M. Freeman. "Generalized palindromic continued fractions." Rocky Mountain J. Math. 48 (1) 219 - 236, 2018. https://doi.org/10.1216/RMJ-2018-48-1-219

Information

Published: 2018
First available in Project Euclid: 28 April 2018

zbMATH: 06866707
MathSciNet: MR3795740
Digital Object Identifier: 10.1216/RMJ-2018-48-1-219

Subjects:
Primary: 11J70, 11J81

Rights: Copyright © 2018 Rocky Mountain Mathematics Consortium

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Vol.48 • No. 1 • 2018
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