- 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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