A Comment on Matiyasevich's Identity #0102 with Bernoulli Numbers

Details A Comment on Matiyasevich's Identity #0102 with Bernoulli Numbers A Comment on Matiyasevich's Identity #0102 with Bernoulli Numbers

2006-08-28

arxiv.org/abs/math/0608675v2

Mathematics

Number Theory

10 pages

Scientific paper

We connect and generalize Matiyasevich's identity #0102 with Bernoulli numbers and an identity of Candelpergher, Coppo and Delabaere on Ramanujan summation of the divergent series of the infinite sum of the harmonic numbers. The formulae are analytic continuation of Euler sums and lead to new recursion relations for derivatives of Bernoulli numbers. The techniques used are contour integration, generating functions and divergent series.

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