The Three Gap Theorem and the Space of Lattices. Issue 8 (1st October 2017)
- Record Type:
- Journal Article
- Title:
- The Three Gap Theorem and the Space of Lattices. Issue 8 (1st October 2017)
- Main Title:
- The Three Gap Theorem and the Space of Lattices
- Authors:
- Marklof, Jens
Strömbergsson, Andreas - Abstract:
- Abstract: The three gap theorem (or Steinhaus conjecture) asserts that there are at most three distinct gap lengths in the fractional parts of the sequence α, 2α, .…., N α, for any integer N and real number α. This statement was proved in the 1950s independently by various authors. Here we present a different approach using the space of two-dimensional Euclidean lattices.
- Is Part Of:
- American Mathematical Monthly. Volume 124:Issue 8(2017)
- Journal:
- American Mathematical Monthly
- Issue:
- Volume 124:Issue 8(2017)
- Issue Display:
- Volume 124, Issue 8 (2017)
- Year:
- 2017
- Volume:
- 124
- Issue:
- 8
- Issue Sort Value:
- 2017-0124-0008-0000
- Page Start:
- 741
- Page End:
- 745
- Publication Date:
- 2017-10-01
- Subjects:
- Mathematics -- Periodicals
510.5 - Journal URLs:
- https://www.tandfonline.com/loi/uamm20 ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.4169/amer.math.monthly.124.8.741 ↗
- Languages:
- English
- ISSNs:
- 0002-9890
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 7088.xml