Reciprocal polynomials having small measure. II

Author:
David W. Boyd

Journal:
Math. Comp. **53** (1989), 355-357, S1

MSC:
Primary 30C15; Secondary 12-04, 26C05, 65D20

DOI:
https://doi.org/10.1090/S0025-5718-1989-0968149-6

MathSciNet review:
968149

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We consider here polynomials with integer coefficients having measure at most 1.3. In the first paper of this series we determined all such polynomials of degree at most 16, and all such polynomials of height 1 and degree at most 26. In this paper we extend these results to all polynomials of degree at most 20, and all polynomials of height 1 and degree at most 32. We observe some curious statistics concerning the number of roots outside the unit circle for the polynomials investigated here.

**[1]**D. W. Boyd, "Reciprocal polynomials having small measure,"*Math. Comp.*, v. 35, 1980, pp. 1361-1377. MR**583514 (82a:30005)****[2]**D. H. Lehmer, "Factorization of certain cyclotomic functions",*Ann. of Math.*(2), v. 34, 1933, pp. 461-479. MR**1503118**

Retrieve articles in *Mathematics of Computation*
with MSC:
30C15,
12-04,
26C05,
65D20

Retrieve articles in all journals with MSC: 30C15, 12-04, 26C05, 65D20

Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1989-0968149-6

Article copyright:
© Copyright 1989
American Mathematical Society