Hankel Determinants, Padé Approximations, and Irrationality Exponents

DOI10.1093/imrn/rnv185zbMath1415.11101arXiv1503.02797OpenAlexW3104838968MaRDI QIDQ2800176

Jia-Yan Yao, Guo-Niu Han, Zhi-Ying Wen, Yann Bugeaud

Publication date: 15 April 2016

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.02797

zbMATH Keywords

Padé approximationsirrationality exponentsMahler numbersThue-Morse-Mahler numbers

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Padé approximation (41A21) Measures of irrationality and of transcendence (11J82)

Related Items (16)

On the \(t\)-adic Littlewood conjecture ⋮ Hankel determinants, Padé approximations, and irrationality exponents for \(p\)-adic numbers ⋮ Hankel continued fraction and its applications ⋮ On the spectrum of irrationality exponents of Mahler numbers ⋮ Irrationality exponent and convergence exponent in continued fraction expansions ⋮ On the irrationality measure of the Thue–Morse constant ⋮ On the automaticity of sequences defined by the Thue–Morse and period-doubling Stieltjes continued fractions ⋮ On the regularity of the Hankel determinant sequence of the characteristic sequence of powers of 2 ⋮ Hankel matrices for the period-doubling sequence ⋮ On $t$-adic Littlewood conjecture for certain infinite products ⋮ Criteria for apwenian sequences ⋮ ON GENERALIZED THUE–MORSE FUNCTIONS AND THEIR VALUES ⋮ On simultaneous approximation of the values of certain Mahler functions ⋮ Continued fractions and irrationality exponents for modified Engel and Pierce series ⋮ Continued fractions for strong Engel series and Lüroth series with signs ⋮ On the automaticity of the Hankel determinants of a family of automatic sequences

This page was built for publication: Hankel Determinants, Padé Approximations, and Irrationality Exponents