On the solvability of the Diophantine equation a x ~ + by=' + c z 2 = 0 in imaginary Euclidean quadratic fields

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We prove that there exists an equivalence of categories of coherent D-modules when you consider the arithmetic D-modules introduced by Berthelot on a projective smooth formal scheme X

we prove Damerell’s theorem for all imaginary quadratic fields of odd class number up to an element of the imaginary quadratic field in question (rather than up to an

In these applications, the probability measures that are involved are replaced by uniform probability measures on discrete point sets, and we use our algorithm to solve the

In 1968 Shanks [18] proposed an algorithm relying on the baby-step giant-step method in order to compute the structure of the ideal class group of an imaginary quadratic number field

Abstract—In this paper, we propose a successive convex approximation framework for sparse optimization where the nonsmooth regularization function in the objective function is

As X is finite-dimensional, the virtual cohomological dimension of the discrete group G is finite.. A cumbersome aspect of Bianchi’s fundamental polyhedron, and hence also of F ,

In this paper, we establish formulae for the part due to torsion of the Bredon homology of the Bianchi groups, with respect to the family Fin of finite subgroups and coefficients in