Browsing Mathematics & Statistics by Author "2e4fcc8c-4389-4ecb-b76b-f9e2f02986df"
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Derivatives and Special Values of Higher-Order Tornheim Zeta Functions
Dilcher, Karl; Tomkins, Hayley (2018)We study analytic properties of the higher-order Tornheim zeta function, defined by a certain $n$-fold series ($n\geq 2$) in $n+1$ complex variables. In particular, we consider the function $\omega_{n+1}(s)$, obtained by ... -
Nonlinear Identities for Bernoulli and Euler Polynomials
Dilcher, Karl (2018)It is shown that a certain nonlinear expression for Bernoulli polynomials, related to higher-order convolutions, can be evaluated as a product of simple linear polynomials with integer coefficients. The proof involves ...