Transcendental series of reciprocals of Fibonacci and Lucas numbers

DOI10.2140/ant.2022.16.1627OpenAlexW3083219424MaRDI QIDQ2085767

Yanyan Li

Publication date: 19 October 2022

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.02446

zbMATH Keywords

algebraic numberssubspace theoremtranscendental numbers

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Schmidt Subspace Theorem and applications (11J87)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On divisors of Lucas and Lehmer numbers
• On the rational approximations to the powers of an algebraic number: solution of two problems of Mahler and Mendès France
• Transcendence of reciprocal sums of binary recurrences
• Transcendence of certain reciprocal sums of linear recurrences
• Mahler functions and transcendence
• Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
• Simultaneous approximation to algebraic numbers by rationals
• On the complexity of algebraic numbers. I: Expansions in integer bases
• Algebraic approximations to linear combinations of powers: An extension of results by Mahler and Corvaja–Zannier
• On Periodic Expansions of Pisot Numbers and Salem Numbers
• On the transcendency of the solutions of a special class of functional equations
• A quantitative version of the Absolute Subspace Theorem
• A theorem on irrationality of infinite series and applications
• Transcendency Results for Sums of Reciprocals of Linear Recurrences

This page was built for publication: Transcendental series of reciprocals of Fibonacci and Lucas numbers