Timeline for Flat polynomials with factors of big height
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Feb 12, 2022 at 11:04 | history | edited | Wolfgang | CC BY-SA 4.0 |
added 548 characters in body
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| Feb 12, 2022 at 0:04 | comment | added | Peter Taylor | Bounds on Factors in Z[x] by John Abbott is a fairly recent review. | |
| Feb 11, 2022 at 23:02 | comment | added | François Brunault | Let me add the reference to Mignotte's original article: An Inequality About Factors of Polynomials, Mathematics of Computation, Vol. 28, No. 128 (Oct., 1974), pp. 1153-1157. | |
| Feb 11, 2022 at 22:51 | comment | added | François Brunault | A remark: the Mignotte bound gives an upper bound for the size of any factor of a polynomial in $\mathbb{Z}[x]$ depending only on its degree and the size of the coefficients, see also here. The proof uses the Mahler measure. This bound is exponential in the degree. | |
| Feb 11, 2022 at 21:19 | history | asked | Wolfgang | CC BY-SA 4.0 |