Dilcher, Karl
Recent Submissions
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Nonlinear Identities for Bernoulli and Euler Polynomials
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 ... -
Derivatives and Special Values of Higher-Order Tornheim Zeta Functions
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 ... -
A role for generalized Fermat numbers
We define a Gauss factorial $N_n!$ to be the product of all positive integers up to $N$ that are relatively prime to $n\in\mathbb N$. In this paper we study particular aspects of the Gauss factorials $\lfloor\frac{n-1} ... -
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Polynomials Related to Expansions of Certain Rational Functions in 2 Variables
No abstract available.
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