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MOC
1998
13 years 10 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 10 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 10 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
2000
13 years 10 months ago
2000
Consider a differential equation y = A(t, y)y, y(0) = y0 with y0 G and A : R+
MOC
2000
13 years 10 months ago
2000
In this paper, we solve a certain family of diophantine equations associated with a family of cyclic quartic number fields. In fact, we prove that