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math.NT2013
Strongly badly approximable matrices in fields of power series
Thai Hoang Le, Jeffrey D. Vaaler
We study the notion of strongly badly approximable matrices in the field of power series over a field . We prove a transference principle in this setting, and show that such mat…
math.NT2013
Intersective polynomials and Diophantine approximation, II
Thai Hoang Le, Craig V. Spencer
By applying Schmidt's lattice method, we prove results on simultaneous Diophantine approximation modulo 1 for systems of polynomials in a single prime variable provided that certai…
math.NT2013
Sums of products of fractional parts
Thai Hoang Le, Jeffrey D. Vaaler
We prove upper and lower bounds for certain sums of products of fractional parts by using majoring and minorizing functions from Fourier analysis. In special cases the upper bounds…