Euler sums involving squared harmonic numbers
Generating functions for squared harmonic numbers provide evaluations of Euler sums and logarithmic integrals.
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Euler Sums and Infinite Series
Notes on integrals, infinite series, and number theory.
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An alternating Euler Sum
An alternating Euler sum leads to harmonic-number generating functions, logarithmic integrals, and polylogarithms.
Bernoulli numbers and a related integral
From the defining recursion for Bernoulli polynomials to their Fourier expansions and an associated integral.