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math.NT2022
Analytic Extension of Keiper-Li Coefficients
Krzysztof Maślanka
We construct certain entire function which for integer s coincides with the well-known Keiper-Li coefficients, i.e. . This is an even function and h…
math.NT2022
Asymptotic Properties of Stieltjes Constants
Krzysztof Maślanka
We present a new asymptotic formula for the Stieltjes constants which is both simpler and more accurate than several others published in the literature (see e.g. \cite{Fekih-Ahmed}…
math.NT2022★ 1 cited
The High Precision Numerical Calculation of Stieltjes Constants. Simple and Fast Algorithm
Krzysztof Maślanka, Andrzej Koleżyński
We present a simple but efficient method of calculating Stieltjes constants at a very high level of precision, up to about 80000 significant digits. This method is based on the hyp…