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math.NT2013
Liouville Numbers and Schanuel's Conjecture
K. Senthil Kumar, R. Thangadurai, M. Waldschmidt
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. Sa…
math.NT2013
Liouville numbers, Liouville sets and Liouville fields
K. Senthil Kumar, R. Thangadurai, M. Waldschmidt
Following earlier work by E.Maillet 100 years ago, we introduce the definition of a Liouville set, which extends the definition of a Liouville number. We also define a Liouville fi…