Karl Dilcher

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

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2023

Hankel Determinants of shifted sequences of Bernoulli and Euler numbers.

Karl Dilcher, Lin Jiu

Contributions Discret. Math., 2023

2022

The Powers of Certain Number-Theoretic Matrices.

Karl Dilcher, Kurt Girstmair

Am. Math. Mon., 2022

Arithmetic properties of polynomial solutions of the Diophantine equation P(x)xⁿ⁺¹+Q(x)(x+1)ⁿ⁺¹=1.

Karl Dilcher, Maciej Ulas

Period. Math. Hung., 2022

2021

Analytic Continuations of Character and Alternating Tornheim Zeta Functions.

Karl Dilcher

Am. Math. Mon., 2021

2019

Polynomial Analogues of Restricted b-ary Partition Functions.

Karl Dilcher, Larry Ericksen

J. Integer Seq., 2019

2018

Polynomials Characterizing Hyper b-ary Representations.

Karl Dilcher, Larry Ericksen

J. Integer Seq., 2018

Square Classes and Divisibility Properties of Stern Polynomials.

Karl Dilcher, Hayley Tomkins

Integers, 2018

Infinite products involving Dirichlet characters and cyclotomic polynomials.

Karl Dilcher, Christophe Vignat

Adv. Appl. Math., 2018

2017

A role for generalized Fermat numbers.

John B. Cosgrave, Karl Dilcher

Math. Comput., 2017

2016

Euler and the Strong Law of Small Numbers.

Karl Dilcher, Christophe Vignat

Am. Math. Mon., 2016

2015

The Polynomials of Mahler and Roots of Unity.

Karl Dilcher, Larry Ericksen

Am. Math. Mon., 2015

Factors and Irreducibility of Generalized Stern Polynomials.

Karl Dilcher, Larry Ericksen

Integers, 2015

Representations of Stirling Numbers of the First Kind by Multiple Integrals.

Takashi Agoh, Karl Dilcher

Integers, 2015

Hyperbinary Expansions and Stern Polynomials.

Karl Dilcher, Larry Ericksen

Electron. J. Comb., 2015

2013

On the Roots of Expected Independence Polynomials.

Jason I. Brown, Karl Dilcher, Dante V. Manna

J. Graph Theory, 2013

2011

An Introduction to Gauss Factorials.

John B. Cosgrave, Karl Dilcher

Am. Math. Mon., 2011

Convolution and Reciprocity Formulas for Bernoulli Polynomials.

Takashi Agoh, Karl Dilcher

Integers, 2011

2010

Convolution Identities for Stirling Numbers of the First Kind.

Takashi Agoh, Karl Dilcher

Integers, 2010

Bernoulli and Euler polynomials.

Karl Dilcher

Proceedings of the NIST Handbook of Mathematical Functions., 2010

2009

On the roots of strongly connected reliability polynomials.

Jason I. Brown, Karl Dilcher

Networks, 2009

Shortened recurrence relations for Bernoulli numbers.

Takashi Agoh, Karl Dilcher

Discret. Math., 2009

2008

Reciprocity Relations for Bernoulli Numbers.

Takashi Agoh, Karl Dilcher

Am. Math. Mon., 2008

Determinant Expressions for q-Harmonic Congruences and Degenerate Bernoulli Numbers.

Karl Dilcher

Electron. J. Comb., 2008

2005

A Pascal-Type Triangle Characterizing Twin Primes.

Karl Dilcher, Kenneth B. Stolarsky

Am. Math. Mon., 2005

2002

Dedekind Sums and Uniform Distributions.

Karl Dilcher, Kurt Girstmair

Am. Math. Mon., 2002

2000

An Extension of Fermat's Little Theorem, and Congruences for Stirling Numbers.

Karl Dilcher

Am. Math. Mon., 2000

Three new factors of Fermat numbers.

Richard P. Brent, Richard E. Crandall, Karl Dilcher, C. Van Halewyn

Math. Comput., 2000

Nested Squares and Evaluations of Integer Products.

Karl Dilcher

Exp. Math., 2000

1998

Wilson quotients for composite moduli.

Takashi Agoh, Karl Dilcher, Ladislav Skula

Math. Comput., 1998

1997

A search for Wieferich and Wilson primes.

Richard E. Crandall, Karl Dilcher, Carl Pomerance

Math. Comput., 1997

1995

Some q-series identities related to divisor functions.

Karl Dilcher

Discret. Math., 1995