- Title
- An irrationality measure for regular paperfolding numbers
- Creator
- Coons, Michael; Vrbik, Paul
- Relation
- Journal of Integer Sequences Vol. 15, Issue 1, no. 12.1.6
- Relation
- https://cs.uwaterloo.ca/journals/JIS/VOL15/Coons/coons3.html
- Publisher
- University of Waterloo, Department of Computer Science
- Resource Type
- journal article
- Date
- 2012
- Description
- Let be the generating series of the regular paperfolding sequence. For a real number α the irrationality exponent μ(α), of α, is defined as the supremum of the set of real numbers μ such that the inequality {pipe}α-p/q{pipe} < q -μ has infinitely many solutions (p, q) ∈ ℤ × ℕ. In this paper, using a method introduced by Bugeaud, we prove that for all integers b ≥ 2. This improves upon the previous bound of μ(F(1/b))≤5 given by Adamczewski and Rivoal.
- Subject
- irrationality measure; Pade approximant; Hankel determinant; paperfolding sequence
- Identifier
- http://hdl.handle.net/1959.13/1355977
- Identifier
- uon:31577
- Identifier
- ISSN:1530-7638
- Language
- eng
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