Another surprising property of 42. 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)]

Abbott, J. A.; Davenport, J. H.

doi:10.1090/S0025-5718-1988-0930222-5

Another surprising property of $42$. 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)]
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by J. A. Abbott and J. H. Davenport PDF

Math. Comp. 51 (1988), 837-839 Request permission

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.

References

On the Computation of Integral Bases and Defects of Integrity

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