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Fischler, S., Hussain, M.

, Kristensen, S., & Levesley, J. (2013).

*A converse to linear independence criteria, valid almost everywhere*. Department of Mathematics, Aarhus University. Preprints, No. 1

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### Bibtex

@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 = "Stéphane Fischler and Mumtaz Hussain and Simon Kristensen and Jason Levesley",

year = "2013",

publisher = "Department of Mathematics, Aarhus University",

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

BT - A converse to linear independence criteria, valid almost everywhere

PB - Department of Mathematics, Aarhus University

ER -