In this paper, we deduce a number of effective lower bounds upon the distance to an integer of quantities of the shapebnξ, where band nare integers andξis a real quadratic irrational

Prove that in a finite group of even order, there is an element of order 25. Show that a finite integral domain is

For each of them describe the code: give its dimension, the number of elements, a basis, a basis of the space of linear forms vanishing on it, its minimum distance, the number of

Alladi (Alladi, 1987) proved an Erd˝os–Kac theorem for integers without large prime factors... We follow closely the proofs of Propositions 2 and 3, making appropri-

For the case k = 3 on the equilateral triangle, if we consider Dirichlet boundary condition on segment [AD r ] and Neumann boundary condition on [DD r ] (see Figure 11(a) for

7.1.. Diedral case of order 6. The numerical experi- ments show that this is as rare as in the exceptional case and we shall conclude on these various cases in § 7.2.6... The

[7] , New fewnomial upper bounds from Gale dual polynomial systems, Moscow Mathematical Journal 7 (2007), no. Khovanskii, A class of systems of transcendental

Although the theoretical values of the probabilities are rather intricate, in a first approach, we can neglect these aspects and give some results in an heuristic point of

With Kulkarni [11], they notably extend Crofton’s formula to the p-adic setting and derive new estimations on the num- ber of roots of a p-adic polynomial, establishing in