2006/08/28 by H. Gopalkrishna Gadiyar, Gadiyar, H. Gopalkrishna, R. Padma +1
Mathematics · #11M06 #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT) #math.NT #msc:11M06
paper · pdf · doi:10.48550/arxiv.math/0608675
10 pages
openalex publication_date 2006/08/28 · arxiv created 2006/09/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.