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The unfamiliar reader is referred to Emma Lehmer’s expository article [9] for an overview of rational reci- procity laws and Williams, Hardy, and Friesen’s article [15] for a proof
A classical problem concerning systems of diagonal forms over p -adic fields involves finding an explicit relation between the degree of the forms and the number of variables that
Many results are stated and proved in a more general framework of symmetric and skewsymmetric matrices with respect to an invertible matrix which is skewsymmetric relative to
Moore made important contributions to Mathematical Analysis, Algebra and Geometry, and in his General Analysis [14], [15], [20], attempted an ambitious unifi- cation, justified by
Henceforth, unless stated otherwise, each bidirected tree will be assumed to have an underlying tree with such a labeling... Combined with the next theorem they give
As a byproduct we also obtain (in Theorem 6.4) an inequality, involving the Gaussian measure of symmetric convex sets, stated by Szarek (1991) (who proved a somewhat weaker result)
A proof of the increase in maturity of the expectation of a convex function of the arithmetic average of geometric brownian motion. Making Markov martingales meet marginals:
It follows from our Theorem 2.1 that the limit results proved for heights and (or) lengths of excursions for the case of Brownian motion remain valid for similar quantities of
