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3.3] and predicts an explicit formula for the leading term at s = 1 of the zeta-function of a finite Galois extension of number fields L/K in terms of the Euler characteristic of
In view of the above remarks it seems that if one would like to produce examples of elliptic curves with large p -Selmer groups, and an irreducible representation of the Galois group
Such a definition is given in section 2 of the present paper; moreover, in Theorem (2.13) we prove that, under some very general conditions on the defining sequence ( a n ), every A ⊆
Indeed, if H is such that its Delone sets are all finite, then Question 1.2 can be answered by the classical properties of the Hausdorff metric on the space of compact subsets of H
These include the group G (1) of matrices whose columns are identical except for initial zeros, and also the group G (2) of matrices in which the odd-numbered columns are
In the fourth section, we study the existence and representation of the group inverse for a class 2 × 2 block matrices, generalizing the relative results in paper [2].. All results
In this paper, we present some results relating different matrix partial orderings and the reverse order law for the Moore-Penrose inverse and group inverse.. Special attention is
In this paper, we study the Moore-Penrose inverse of a symmetric rank-one perturbed matrix from which a finite method is proposed for the minimum-norm least-squares solution to
