Abstract
We investigate generalizations arising from the identityζ2(n−1,1)=n−12ζ(n)−12∑j=2n−2ζ(j)ζ(n−j), where ζ2(k,1) denotes a double zeta value at (k,1), or an Euler-Zagier sum. In particular, we prove analogues of the above identity for Lerch zeta-functions and Dirichlet L-functions. Such an attempt has met with limited success in the past. We highlight that this study naturally leads one into the realm of multiple L-values and multiple L⁎-values.
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