Rational approximations to values of Bell polynomials at points involving Euler's constant and zeta values

Abstract

In this paper, we present new explicit simultaneous rational approximations converging sub-exponentially to the values of Bell polynomials at the points of the form $(\gamma ,1!(2a+1)\zeta (2),2!\zeta (3),...,(m-1)!(a+1+(-1{)}^{m}a)\zeta (m)),$ $m=1,2,...,a,$ $a\in \mathbb{N}.$

arXiv comment25 pages