On the \(t\)-adic Littlewood conjecture

DOI10.1215/00127094-2020-0077zbMath1478.11093arXiv1806.04478OpenAlexW3174846844WikidataQ113751928 ScholiaQ113751928MaRDI QIDQ821485

Fred Lunnon, Erez Nesharim, Faustin Adiceam

Publication date: 20 September 2021

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.04478

zbMATH Keywords

Padé approximationfinite fieldslinear complexityHankel determinantspaperfolding sequenceLittlewood conjecturePadé table\(p\)-adic Littlewood conjecture\(t\)-adic Littlewood conjecturenumber wallsPagoda sequence

Mathematics Subject Classification ID

Automata sequences (11B85) Homogeneous approximation to one number (11J04) Approximation in non-Archimedean valuations (11J61) Homogeneous flows (37A17)

Related Items (6)

On a bounded remainder set for a digital Kronecker sequence ⋮ On the rank of Hankel matrices over finite fields ⋮ On certain simultaneous rational approximations in \(\mathbb{R}^2\) and certain rational approximations in \(\mathbb{Q}_p\) ⋮ Reformulating the \(p\)-adic Littlewood conjecture in terms of infinite loops mod \(p^k\) ⋮ On $t$-adic Littlewood conjecture for certain infinite products ⋮ Multiplicative \(p\)-adic approximation

Uses Software

• GitHub

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• GitHub
• A combinatorial proof of the non-vanishing of Hankel determinants of the Thue-Morse sequence
• Simultaneous diophantine approximations
• An analogue of a problem of Littlewood
• Invariant measures and the set of exceptions to Littlewood's conjecture
• Extension of Baker's analogue of Littlewood's diophantine approximation problem
• Hankel determinants of the Thue-Morse sequence
• Escape of mass in homogeneous dynamics in positive characteristic
• On the rational approximation of the sum of the reciprocals of the Fermat numbers
• Diagonal actions in positive characteristic
• On the automaticity of the Hankel determinants of a family of automatic sequences
• Invariant measures and arithmetic unique ergodicity. Appendix by E. Lindenstrauss and D. Rudolph
• On an analogue of Littlewood's diophantine approximation problem
• Lower bound for a Diophantine approximation function
• Hankel Determinants, Padé Approximations, and Irrationality Exponents
• On the complexity of a putative counterexample to the -adic Littlewood conjecture
• Thue–Morse Constant is Not Badly Approximable
• Über einige Extremalaufgaben bezüglich endlicher Körper
• Arithmetic and analytic properties of paper folding sequences
• Hankel determinants for the Fibonacci word and Padé approximation
• Automatic Sequences
• Measure rigidity and $p$-adic Littlewood-type problems
• Continued fractions of certain Mahler functions
• On a mixed Littlewood conjecture in fields of power series
• Littlewood's Diophantine Approximation Problem for Series
• On the Analog of Littlewood's Problem in Power Series Fields

This page was built for publication: On the \(t\)-adic Littlewood conjecture