A converse to linear independence criteria, valid almost everywhere

Title: A converse to linear independence criteria, valid almost everywhere
Creator: Fischler, S.; Hussain, M.; Kristensen, S.; Levesley, J.
Relation: ARC
Relation: Ramanujan Journal Vol. 38, Issue 3, p. 513-528
Publisher Link: http://dx.doi.org/10.1007/s11139-014-9662-8
Publisher: Springer
Resource Type: journal article
Date: 2015
Description: 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.
Subject: primary 11J83; secondary 11J72; 11J13; number theory; Fourier analysis
Identifier: http://hdl.handle.net/1959.13/1317344
Identifier: uon:23396
Identifier: ISSN:1382-4090
Language: eng
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