A converse to linear independence criteria, valid almost everywhere

S. Fischler, M. Hussain*, Simon Kristensen, J. Levesley

*Corresponding author af dette arbejde

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avisTidsskriftartikelForskningpeer review

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 applied to proving the optimality of several linear independence criteria over the field of rational numbers.

OriginalsprogEngelsk
TidsskriftRamanujan Journal
Vol/bind38
Nummer3
Sider (fra-til)513-528
Antal sider16
ISSN1382-4090
DOI
StatusUdgivet - 2015

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