Raffaele Marcovecchio

activity

20182025

most citedMultiple Legendre polynomials in Diophantine approximation

5 citations · 9 across the 5 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.NT2019★ 3 cited

Hypergeometric rational approximations to $ζ (4)$

Raffaele Marcovecchio, Wadim Zudilin

We give a new hypergeometric construction of rational approximations to $ζ (4)$ , which absorbs the earlier one from 2003 based on Bailey's $_{9} F_{8}$ hypergeometric integrals. With t…

math.CV2019

A classical functional generalization of the first Barnes lemma

Raffaele Marcovecchio

We give a brief account and a simpler proof of a contour integral formula for the Gauss hypergeometric function. Such formula is alternative to Barnes's integral formula and genera…

Hypergeometric rational approximations to ζ(4)

A classical functional generalization of the first Barnes lemma

Hypergeometric rational approximations to $ζ (4)$