Karl Dilcher

Orcid: 0000-0002-9550-234X

According to our database1, Karl Dilcher authored at least 31 papers between 1995 and 2023.

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Bibliography

2023
Hankel Determinants of shifted sequences of Bernoulli and Euler numbers.
Contributions Discret. Math., 2023

2022
The Powers of Certain Number-Theoretic Matrices.
Am. Math. Mon., 2022

Arithmetic properties of polynomial solutions of the Diophantine equation P(x)x<sup>n+1</sup>+Q(x)(x+1)<sup>n+1</sup>=1.
Period. Math. Hung., 2022

2021
Analytic Continuations of Character and Alternating Tornheim Zeta Functions.
Am. Math. Mon., 2021

2019
Polynomial Analogues of Restricted b-ary Partition Functions.
J. Integer Seq., 2019

2018
Polynomials Characterizing Hyper b-ary Representations.
J. Integer Seq., 2018

Square Classes and Divisibility Properties of Stern Polynomials.
Integers, 2018

Infinite products involving Dirichlet characters and cyclotomic polynomials.
Adv. Appl. Math., 2018

2017
A role for generalized Fermat numbers.
Math. Comput., 2017

2016
Euler and the Strong Law of Small Numbers.
Am. Math. Mon., 2016

2015
The Polynomials of Mahler and Roots of Unity.
Am. Math. Mon., 2015

Factors and Irreducibility of Generalized Stern Polynomials.
Integers, 2015

Representations of Stirling Numbers of the First Kind by Multiple Integrals.
Integers, 2015

Hyperbinary Expansions and Stern Polynomials.
Electron. J. Comb., 2015

2013
On the Roots of Expected Independence Polynomials.
J. Graph Theory, 2013

2011
An Introduction to Gauss Factorials.
Am. Math. Mon., 2011

Convolution and Reciprocity Formulas for Bernoulli Polynomials.
Integers, 2011

2010
Convolution Identities for Stirling Numbers of the First Kind.
Integers, 2010

Bernoulli and Euler polynomials.
Proceedings of the NIST Handbook of Mathematical Functions., 2010

2009
On the roots of strongly connected reliability polynomials.
Networks, 2009

Shortened recurrence relations for Bernoulli numbers.
Discret. Math., 2009

2008
Reciprocity Relations for Bernoulli Numbers.
Am. Math. Mon., 2008

Determinant Expressions for q-Harmonic Congruences and Degenerate Bernoulli Numbers.
Electron. J. Comb., 2008

2005
A Pascal-Type Triangle Characterizing Twin Primes.
Am. Math. Mon., 2005

2002
Dedekind Sums and Uniform Distributions.
Am. Math. Mon., 2002

2000
An Extension of Fermat's Little Theorem, and Congruences for Stirling Numbers.
Am. Math. Mon., 2000

Three new factors of Fermat numbers.
Math. Comput., 2000

Nested Squares and Evaluations of Integer Products.
Exp. Math., 2000

1998
Wilson quotients for composite moduli.
Math. Comput., 1998

1997
A search for Wieferich and Wilson primes.
Math. Comput., 1997

1995
Some q-series identities related to divisor functions.
Discret. Math., 1995


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