Decompositions of nil sums of roots of unity. An adaptation of "Sommes nulles de racines de l'unité". Issue 2 (2nd September 2017)
- Record Type:
- Journal Article
- Title:
- Decompositions of nil sums of roots of unity. An adaptation of "Sommes nulles de racines de l'unité". Issue 2 (2nd September 2017)
- Main Title:
- Decompositions of nil sums of roots of unity. An adaptation of "Sommes nulles de racines de l'unité"
- Authors:
- Amiot, Emmanuel
- Abstract:
- Abstract : Sets of roots of unity that sum to zero have interesting musical and mathematical relevance. It seems natural to conjecture that these sets are disjoint unions of the simplest such, i.e. regular polygons, but this is not true.
- Is Part Of:
- Journal of mathematics and music. Volume 11:Issue 2/3(2017)
- Journal:
- Journal of mathematics and music
- Issue:
- Volume 11:Issue 2/3(2017)
- Issue Display:
- Volume 11, Issue 2/3 (2017)
- Year:
- 2017
- Volume:
- 11
- Issue:
- 2/3
- Issue Sort Value:
- 2017-0011-NaN-0000
- Page Start:
- 67
- Page End:
- 75
- Publication Date:
- 2017-09-02
- Subjects:
- roots of unity -- polygon -- decomposition -- balance -- perfect balance -- irreducibility -- polynomials
00A65 -- 97F50 -- 11R32
Music theory -- Periodicals
Music -- Mathematical models -- Periodicals
Music -- Mathematics -- Periodicals
781.2 - Journal URLs:
- http://www.tandf.co.uk/journals/titles/17459737.asp ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.1080/17459737.2018.1453951 ↗
- Languages:
- English
- ISSNs:
- 1745-9737
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 5012.800000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 7085.xml