Abstract
The well-known Three Gap Theorem states that there are at most three gap sizes in the sequence of fractional parts {αn}n<N. It is known that if one averages over α, the distribution becomes continuous. We present an alternative approach, which establishes this averaged result and also provides good bounds for the error terms.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1743-1764 |
| Number of pages | 22 |
| Journal | International Journal of Number Theory |
| Volume | 12 |
| Issue number | 7 |
| DOIs | |
| State | Published - Nov 1 2016 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
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