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arxiv: 1709.06432 · v1 · pith:OV6A26ZWnew · submitted 2017-09-19 · 🧮 math.NT

Kronecker-Halton sequences in mathbb{F}_p((X⁻¹))

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keywords sequencesdistributionhybridcombiningcriteriondigitaldiscrepancyfull
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In this paper we investigate the distribution properties of hybrid sequences which are made by combining Halton sequences in the ring of polynomials and digital Kronecker sequences. We give a full criterion for the uniform distribution and prove results on the discrepancy of such hybrid sequences.

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