Khristo N. Boyadzhiev
Published 2021-09-19Version 1
This paper presents a number of identities for Dirichlet series and series with Stirling numbers of the first kind. As coefficients for the Dirichlet series we use Cauchy numbers of the first and second kinds, hyperharmonic numbers, derangement numbers, binomial coefficients, central binomial coefficients, and Catalan numbers.
Products and sums divisible by central binomial coefficients
Explicit Identities and new results for Infinite Series associated with the Ratio of Central Binomial Coefficients
On a congruence involving $q$-Catalan numbers
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