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MOC
1998
13 years 4 months ago
1998
We give bounds for the coefficients of a polynomial as functions of the diameter of its roots, hence we obtain polynomials with minimal diameters and small degree
MOC
1998
13 years 4 months ago
1998
We prove that the two smallest values of h(α)+h( 1 1−α )+h(1− 1 α ) are 0 and 0.4218 . . . , for α any algebraic integer.
MOC
1998
13 years 4 months ago
1998
Using isomorphism invariants, we enumerate the translation planes of order 49 and determine their automorphism groups.
MOC
1998
13 years 4 months ago
1998
We count lattice points in certain rational simplices associated with an irreducible finite Weyl group W and observe that these numbers are linked to the exponents of W .
MOC
1998
13 years 4 months ago
1998
Abstract. This paper shows that there is a close relationship between the Euclidean algorithm for polynomials and the Lanczos method for solving sparse linear systems, especially w...