Reciprocal polynomials having small measure. II
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- by David W. Boyd PDF
- Math. Comp. 53 (1989), 355-357 Request permission
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.References
- David W. Boyd, Reciprocal polynomials having small measure, Math. Comp. 35 (1980), no. 152, 1361–1377. MR 583514, DOI 10.1090/S0025-5718-1980-0583514-9
- D. H. Lehmer, Factorization of certain cyclotomic functions, Ann. of Math. (2) 34 (1933), no. 3, 461–479. MR 1503118, DOI 10.2307/1968172
Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Math. Comp. 53 (1989), 355-357
- MSC: Primary 30C15; Secondary 12-04, 26C05, 65D20
- DOI: https://doi.org/10.1090/S0025-5718-1989-0968149-6
- MathSciNet review: 968149