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math.NT2016
Computable Absolutely Pisot Normal Numbers
Manfred G. Madritsch, Adrian-Maria Scheerer, Robert F. Tichy
We analyze the convergence order of an algorithm producing the digits of an absolutely normal number. Furthermore, we introduce a stronger concept of absolute normality by allowing…
math.NT2016
Multidimensional van der Corput sets and small fractional parts of polynomials
Manfred G. Madritsch, Robert F. Tichy
We establish Diophantine inequalities for the fractional parts of generalized polynomials , in particular for sequences with a non-integral r…