Back to Search
Start Over
LIGHT MATRICES OF PRIME DETERMINANT.
- Source :
-
Proceedings of the American Mathematical Society . Mar2014, Vol. 142 Issue 3, p805-819. 15p. - Publication Year :
- 2014
-
Abstract
- For A = (ai,j ) a square integer matrix of prime determinant p, set w(A) =∑ i,j ǀai,j ǀ . We are interested in the smallest possible value wp for w(A), and we show that lim p→∞wp/ log2(p) = 5/2. We also show that wp ⩽ 2.5 log2(p) if and only if p = 2, 7, 13, 37 or a Fermat prime. Our results can also be interpreted as being about addition chains or about presentations of finite cyclic groups. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 142
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 93664113
- Full Text :
- https://doi.org/10.1090/s0002-9939-2013-11812-5