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arxiv: 1301.7662 · v1 · pith:WB4FJ6WTnew · submitted 2013-01-31 · 🧮 math.NT

Elementary methods for evaluating Jordan's sums and analogous Euler's type sums and for setting a sigma sum theorem

classification 🧮 math.NT
keywords sumseulerelementarygivejordananalogousclassicalcomplete
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We give a complete and elementary proofs of "Jordan's sums" and study Euler's types sums. In particular we give a formula for the sum of series with same weight, which is similar to this one of classical 2-Euler's sums.

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