Category Archives: euler sums

Euler Sums, Part II: A Symmetry Formula

A post from a few months ago gave a proof that  In today’s post I’d like to prove a general symmetry formula for Euler sums like this one.  Define and (Notice the upper index on the second sum is , … Continue reading

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Euler Sums, Part I

Sums of the form , where (i.e., the nth harmonic number of order p) are sometimes called Euler sums.  There are a large number of interesting ways to evaluate these Euler sums, such as converting them to integrals, applying complex analysis, … Continue reading

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