Approximations to Euler's constant
Approximations to Euler's constant
We study a problem of finding good approximations to Euler's constant γ = lim n→∞ S n , where S n = ∑ n k=1 1 klog(n + 1), by linear forms in logarithms and harmonic numbers.In 1995, C. Elsner showed that slow convergence of the sequence S n can …