4 citations · 6 across the 5 of their papers we have counts for
7 papers
Some Properties of a Class of Sparse Polynomials
Karl Dilcher, Maciej Ulas
We study an infinite class of sequences of sparse polynomials that have binomial coefficients both as exponents and as coefficients. This generalizes a sequence of sparse polynomia…
Hankel Determinants of sequences related to Bernoulli and Euler Polynomials
Karl Dilcher, Lin Jiu
We evaluate the Hankel determinants of various sequences related to Bernoulli and Euler numbers and special values of the corresponding polynomials. Some of these results arise as…
Orthogonal polynomials and Hankel Determinants for certain Bernoulli and Euler Polynomials
Karl Dilcher, Lin Jiu
Using continued fraction expansions of certain polygamma functions as a main tool, we find orthogonal polynomials with respect to the odd-index Bernoulli polynomials …
Arithmetic properties of polynomial solutions of the Diophantine equation
Karl Dilcher, Maciej Ulas
For each integer we consider the unique polynomials of smallest degree that are solutions of the equation . We d…
Polynomial analogues of restricted multicolor b-ary partition functions
Karl Dilcher, Larry Ericksen
Given an integer base , a number of colors, and a finite sequence of positive integers, we introduce the concept of a -restricted -col…
Identities for Bernoulli polynomials related to multiple Tornheim zeta functions
Karl Dilcher, Armin Straub, Christophe Vignat
We show that each member of a doubly infinite sequence of highly nonlinear expressions of Bernoulli polynomials, which can be seen as linear combinations of certain higher-order co…