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A converse to linear independence criteria, valid almost everywhere

Publikation: Working paperForskning

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  • Stéphane Fischler, Universite Paris-Sud, Frankrig
  • Mumtaz Hussain, Danmark
  • Simon Kristensen
  • Jason Levesley, University of York, Storbritannien
We prove a weighted analogue of the Khintchine-Groshev Theorem, where the distance to the nearest integer is replaced by the absolute value. This is subsequently applied to proving the optimality of several linear independence criteria over the field of rational numbers.
OriginalsprogEngelsk
UdgiverDepartment of Mathematics, Aarhus University
Antal sider13
StatusUdgivet - 2013
SerietitelPreprints
Nummer1
ISSN1397-4076

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