3 citations · 5 across the 5 of their papers we have counts for
7 papers
On the construction of absolutely normal numbers
Christoph Aistleitner, Verónica Becher, Adrian-Maria Scheerer +1
We give a construction of an absolutely normal real number such that for every integer greater than or equal to , the discrepancy of the first terms of the sequence…
On absolutely normal numbers and their discrepancy estimate
Verónica Becher, Adrian-Maria Scheerer, Theodore Slaman
We construct the base expansion of an absolutely normal real number so that, for every integer greater than or equal to , the discrepancy modulo of the sequence…
On the continued fraction expansion of absolutely normal numbers
Adrian-Maria Scheerer
We construct an absolutely normal number whose continued fraction expansion is normal in the sense that it contains all finite patterns of partial quotients with the expected asymp…
Squares with three nonzero digits
Michael A. Bennett, Adrian-Maria Scheerer
We determine all integers such that has at most three base- digits for . More generally, we show that all solutions to equations of the s…
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…
Computable Absolutely Normal Numbers and Discrepancies
Adrian-Maria Scheerer
We analyze algorithms that output absolutely normal numbers digit-by-digit with respect to quality of convergence to normality of the output, measured by the discrepancy. We consid…