New Kronecker–Weyl Type Equidistribution Results and Diophantine Approximation¶
Beck, J., Chen, W. W. L., & Yang, Y. New Kronecker–Weyl Type Equidistribution Results and Diophantine Approximation. European Journal of Mathematics.
Cited by¶
1 citation across 1 artifact.
Domain-specific¶
- Equidistribution Theorem
- For irrational α, the fractional parts of α, 2α, 3α, … visit every interval of [0,1) with asymptotic frequency equal to that interval's length.
Supported in partVerified against the publisher's abstract
The abstract names the Kronecker–Weyl equidistribution theorem for the irrational rotation sequence {qα}, but states no equidistribution frequency or conclusion itself.
“a parity, or mod 2, version of the Kronecker–Weyl equidistribution theorem concerning the irrational rotation sequence”
- For irrational α, the fractional parts of α, 2α, 3α, … visit every interval of [0,1) with asymptotic frequency equal to that interval's length.
Verification¶
Does it exist? Confirmed. This work's DOI resolves to a registered record, which fixes its identity. That is all it fixes.
Does it back the claim? Read against the text for 1 of 1 citation: 1 supported in part. Each verdict is shown under its citation below, with what in the work backs the sentence.
Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.
See how references were verified.
Registry ID ref:c909c00f3c4c · see in the full table