3 papers
math.NT2015
Note on vanishing power sums of roots of unity
Neeraj Kumar, K. Senthil Kumar
For a given positive integers and , we give a complete list of positive integers for which their exist th roots of unity such that $…
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…