A converse to linear independence criteria, valid almost everywhere

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

*Corresponding author for this work

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-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.

Original languageEnglish
JournalRamanujan Journal
Volume38
Issue3
Pages (from-to)513-528
Number of pages16
ISSN1382-4090
DOIs
Publication statusPublished - 2015

Keywords

  • METRIC THEORY
  • ZETA-FUNCTION
  • ODD INTEGERS
  • APPROXIMATIONS
  • IRRATIONALITY
  • VALUES
  • FORMS

Fingerprint

Dive into the research topics of 'A converse to linear independence criteria, valid almost everywhere'. Together they form a unique fingerprint.

Cite this