English

Liouville Numbers and Schanuel's Conjecture

Number Theory 2013-12-30 v1

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.

Keywords

Cite

@article{arxiv.1312.7154,
  title  = {Liouville Numbers and Schanuel's Conjecture},
  author = {K. Senthil Kumar and R. Thangadurai and M. Waldschmidt},
  journal= {arXiv preprint arXiv:1312.7154},
  year   = {2013}
}

Comments

Archiv der Math., to appear