Liouville Numbers and Schanuel's Conjecture

2013/12/26 by K. Senthil Kumar, Kumar, K. Senthil, R. Thangadurai +3
Computer Science · Mathematics · #11J81 #FOS: Mathematics #Functional Equations Stability Results #Mathematical Dynamics and Fractals #Number Theory (math.NT) #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1312.7154

openalex publication_date 2013/12/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, using an argument of P. Erdos, K. Alniacik and E. Saias, we extend earlier results on Liouville numbers, due to P. Erdos, G.J. Rieger, W. Schwarz, K. Alniacik, E. Saias, E.B. Burger. We also produce new results of algebraic independence related with Liouville numbers and Schanuel's Conjecture, in the framework of G delta-subsets.

Related

• Liouville numbers, Liouville sets and Liouville fields
• The Schanuel Subset Conjecture implies Gelfond's Power Tower Conjecture
• Variants of Schanuel's conjecture
• On the Arithmetic Behavior of Liouville Numbers under Rational Maps
• Some consequences of Schanuel's Conjecture