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- W1978214159 abstract "We study a problem of finding good approximations to Euler's constant $gamma=lim_{ntoinfty}S_n,$ where $S_n=sum_{k=1}^nfrac{1}{n}-log(n+1),$ by linear forms in logarithms and harmonic numbers. In 1995, C. Elsner showed that slow convergence of the sequence $S_n$ can be significantly improved if $S_n$ is replaced by linear combinations of $S_n$ with integer coefficients. In this paper, considering more general linear transformations of the sequence $S_n$ we establish new accelerating convergence formulae for $gamma.$ Our estimates sharpen and generalize recent Elsner's, Rivoal's and author's results." @default.
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- W1978214159 date "2007-08-21" @default.
- W1978214159 modified "2023-09-27" @default.
- W1978214159 title "Approximations to Euler's constant" @default.
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