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arxiv: 1312.7154 · v1 · pith:R4MWF2ECnew · submitted 2013-12-26 · 🧮 math.NT

Liouville Numbers and Schanuel's Conjecture

classification 🧮 math.NT
keywords liouvillenumbersalniacikconjectureerdosresultssaiasschanuel
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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.

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