A converse to linear independence criteria, valid almost everywhere

Jason Levesley, Simon Kristensen, Mumtaz Hussain, Stéphane Fischler

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
Number of pages11
JournalThe Ramanujan Journal
Early online date24 Jan 2015
Publication statusPublished - 2015

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