Miscellaneous series identities with Cauchy and harmonic numbers, and their interpretation as Ramanujan summation (Q6546695)

In this paper under review, the author first recalls several series identities involving the Cauchy numbers and various types of harmonic numbers, all of which are closely related to certain alternating series with zeta values or harmonic zeta values. Then, he makes use of the binomial transformation formula in his prior work [Result. Math. 76, No. 4, Paper No. 189, 10 p. (2021; Zbl 1473.05031)] to give an interesting interpretation in terms of Ramanujan summation of almost all the mentioned series identities.