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- W2125109218 abstract "The aim of the paper is to relate computational and arithmetic questions about Euler's constant $gamma$ with properties of the values of the $q$-logarithm function, with natural choice of $q$. By these means, we generalize a classical formula for $gamma$ due to Ramanujan, together with Vacca's and Gosper's series for $gamma$, as well as deduce irrationality criteria and tests and new asymptotic formulas for computing Euler's constant. The main tools are Euler-type integrals and hypergeometric series." @default.
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- W2125109218 date "2006-10-01" @default.
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- W2125109218 title "Euler’s constant, q-logarithms, and formulas of Ramanujan and Gosper" @default.
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- W2125109218 doi "https://doi.org/10.1007/s11139-006-0075-1" @default.
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