5 citations · 5 across the 2 of their papers we have counts for
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Multiple Legendre polynomials in Diophantine approximation
Raffaele Marcovecchio
We construct a class of multiple Legendre polynomials and prove that they satisfy an Apéry-like recurrence. We give new upper bounds of the approximation measures of logarithms of…
Vectors of type II Hermite-Padé approximations and a new linear independence criterion
Raffaele Marcovecchio
We propose a linear independence criterion, and outline an application of it. Down to its simplest case, it aims at solving this problem: given three real numbers, typically as spe…
Hypergeometric rational approximations to
Raffaele Marcovecchio, Wadim Zudilin
We give a new hypergeometric construction of rational approximations to , which absorbs the earlier one from 2003 based on Bailey's hypergeometric integrals. With t…
Some remarks in elementary prime number theory
Raffaele Marcovecchio
We give an outline of a generalization of the Gelfond-Schnirelmann method in elementary number theory. It is related to an integral of Selberg (1944) generalizing the Euler beta in…