Mathematics – Number Theory
Scientific paper
2008-09-23
Mathematics
Number Theory
Scientific paper
Similarly to $\beta$-adic van der Corput sequences, abstract van der Corput
sequences can be defined for abstract numeration systems. Under some
assumptions, these sequences are low discrepancy sequences. The discrepancy
function is computed explicitely, and a characterization of bounded remainder
sets of the form $[0,y)$ is provided.
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