This book is the fruit of my work in the last decade teaching, researching, and solving
problems. This volume offers an unusual collection of problems specializing in three topics …

In this paper, we find a number of explicit expressions for quadratic Euler--type sums
containing double-index harmonic numbers. These are obtained using (ordinary) generating …

In this lecture notes we try to familiarize the audience with the theory of Bernoulli
polynomials; we study their properties, and we give, with proofs and references, some of the …

A simple strategy of calculating two alternating harmonic series generalizations Page 1 A simple
strategy of calculating two alternating harmonic series generalizations Cornel Ioan Valean …

We provide an explicit analytical representation for a number of logarithmic integrals in
terms of the Lerch transcendent function and other special functions. The integrals in …

In this lecture notes we try to familiarize the audience with the theory of Bernoulli
polynomials; we study their properties, and we give, with proofs and references, some of the …

An interplay between the sum of certain series related to harmonic numbers and certain
finite trigonometric sums is investigated. This allows us to express the sum of these series in …

This chapter offers the reader a bouquet of problems with a flavor towards the computational
aspects of infinite series and special products, many of these problems being new in the …