Name
Abstract | ||
|---|---|---|
Let alpha be an algebraic integer of degree d, not 0 or a root of unity, all of whose conjugates alpha(i) are confined to a sector \arg z\ less than or equal to theta. In the paper On the absolute Mahler measure of polynomials having all zeros in a sector, G. Rhin and C. Smyth compute the greatest lower bound c(theta) of the absolute Mahler measure (Pi(i=1)(d) max(1,\alpha(i)\))(1/d) of alpha, for theta belonging to nine subintervals of [0, 2pi/3]. In this paper, we improve the result to thirteen subintervals of [0, pi] and extend some existing subintervals. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1090/S0025-5718-04-01676-X | MATHEMATICS OF COMPUTATION |
Keywords | Field | DocType |
roots of unity,lower bound | Integer,Polynomial,Upper and lower bounds,Mahler measure,Mathematical analysis,Root of unity,Algebraic integer,Mathematics | Journal |
Volume | Issue | ISSN |
74 | 249 | 0025-5718 |
Citations | PageRank | References |
1 | 0.51 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Georges Rhin | 1 | 10 | 4.07 |
| Qiang Wu | 2 | 20 | 14.06 |