New proofs of some formulas of Guillera-Ser-Sondow

Mathematics – Number Theory

Scientific paper

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6 pages, new results added, no figures

Scientific paper

We present logarithmic series for u, ln u and the Euler-Mascheroni constant
gamma. It was indicated by J. Sondow that Theorem 4 and all proofs are new. All
proofs are elementary. We present some conjectures.

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