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Fischler, S, Hussain, M
, Kristensen, S & Levesley, J 2013 '
A converse to linear independence criteria, valid almost everywhere' Preprints, nr. 1, Department of Mathematics, Aarhus University. <
http://math.au.dk/publs?publid=975>
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@techreport{a5b721a46adc410e99b6ce05faef37e8,
title = "A converse to linear independence criteria, valid almost everywhere",
abstract = "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.",
author = "St{\'e}phane Fischler and Mumtaz Hussain and Simon Kristensen and Jason Levesley",
year = "2013",
language = "English",
series = "Preprints",
publisher = "Department of Mathematics, Aarhus University",
number = "1",
type = "WorkingPaper",
institution = "Department of Mathematics, Aarhus University",
}
RIS
TY - UNPB
T1 - A converse to linear independence criteria, valid almost everywhere
AU - Fischler, Stéphane
AU - Hussain, Mumtaz
AU - Kristensen, Simon
AU - Levesley, Jason
PY - 2013
Y1 - 2013
N2 - 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.
AB - 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.
M3 - Working paper
T3 - Preprints
BT - A converse to linear independence criteria, valid almost everywhere
PB - Department of Mathematics, Aarhus University
ER -
