Another surprising property of . A remark on a paper by P. S. Wang: ``Factoring multivariate polynomials over algebraic number fields'' [Math. Comp. **30** (1976), no. 134, 324-336; MR0568283 (58 #27887a)]

Authors:
J. A. Abbott and J. H. Davenport

Journal:
Math. Comp. **51** (1988), 837-839

MSC:
Primary 11R09; Secondary 12-04

DOI:
https://doi.org/10.1090/S0025-5718-1988-0930222-5

Original Article:
Math. Comp. **30** (1976), 324-336.

MathSciNet review:
930222

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Abstract: We give a counterexample to a bound quoted in Wang's paper on polynomial factorization over algebraic number fields. We also give an alternative to that bound which seems not to have been published before.

**[1]**R. J. Bradford,*On the Computation of Integral Bases and Defects of Integrity*, Ph.D. Thesis, University of Bath, May 1988.**[2]**M. Mignotte, "An inequality about factors of polynomials,"*Math. Comp.*, v. 28, 1974, pp. 1153-1157. MR**0354624 (50:7102)****[3]**P. S. Wang, "Factoring multivariate polynomials over algebraic number fields,"*Math. Comp.*, v. 30, 1976, pp. 324-336. MR**0568283 (58:27887a)****[4]**P. J. Weinberger & L. P. Rothschild, "Factoring polynomials over algebraic number fields,"*ACM Trans. Math. Software*, v. 2(4), 1976, pp. 335-350. MR**0450225 (56:8521)**

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DOI:
https://doi.org/10.1090/S0025-5718-1988-0930222-5

Article copyright:
© Copyright 1988
American Mathematical Society