most citedNew proofs of some formulas of Guillera-Ser-Sondow

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math.NT2009★ 2 cited

New proofs of some formulas of Guillera-Ser-Sondow

Vassily Bolbachan

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. W…