Article ID Journal Published Year Pages File Type
4599657 Linear Algebra and its Applications 2014 28 Pages PDF
Abstract

In this paper, improving the method of Allouche et al., we calculate the Hankel determinant of the regular paperfolding sequence, and prove that the Hankel determinant sequence modulo 2 is periodic with period 10 which answers Coonʼs conjecture. Then we extend Bugeaudʼs method to obatin the exact value of the irrationality exponent for some general transcendental numbers. Using the results above, we prove that the irrationality exponents of the regular paperfolding numbers are exactly 2.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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