Some q-series identities related to divisor functions. - Karl Dilcher (Discret. Math., 1995)

A search for Wieferich and Wilson primes. - Richard E. Crandall; Karl Dilcher; Carl Pomerance (Math. Comput., 1997)

Wilson quotients for composite moduli. - Takashi Agoh; Karl Dilcher; Ladislav Skula (Math. Comput., 1998)

Nested Squares and Evaluations of Integer Products. - Karl Dilcher (Exp. Math., 2000)

Three new factors of Fermat numbers. - Richard P. Brent; Richard E. Crandall; Karl Dilcher; C. Van Halewyn (Math. Comput., 2000)

An Extension of Fermat's Little Theorem, and Congruences for Stirling Numbers. - Karl Dilcher (Am. Math. Mon., 2000)

Dedekind Sums and Uniform Distributions. - Karl Dilcher; Kurt Girstmair (Am. Math. Mon., 2002)

A Pascal-Type Triangle Characterizing Twin Primes. - Karl Dilcher; Kenneth B. Stolarsky (Am. Math. Mon., 2005)

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

Reciprocity Relations for Bernoulli Numbers. - Takashi Agoh; Karl Dilcher (Am. Math. Mon., 2008)

Shortened recurrence relations for Bernoulli numbers. - Takashi Agoh; Karl Dilcher (Discret. Math., 2009)

On the roots of strongly connected reliability polynomials. - Jason I. Brown; Karl Dilcher (Networks, 2009)

Bernoulli and Euler polynomials. - Karl Dilcher (NIST Handbook of Mathematical Functions, 2010)

Convolution Identities for Stirling Numbers of the First Kind. - Takashi Agoh; Karl Dilcher (Integers, 2010)

Convolution and Reciprocity Formulas for Bernoulli Polynomials. - Takashi Agoh; Karl Dilcher (Integers, 2011)

An Introduction to Gauss Factorials. - John B. Cosgrave; Karl Dilcher (Am. Math. Mon., 2011)

On the Roots of Expected Independence Polynomials. - Jason I. Brown; Karl Dilcher; Dante V. Manna (J. Graph Theory, 2013)

Hyperbinary Expansions and Stern Polynomials. - Karl Dilcher; Larry Ericksen (Electron. J. Comb., 2015)

Representations of Stirling Numbers of the First Kind by Multiple Integrals. - Takashi Agoh; Karl Dilcher (Integers, 2015)

Factors and Irreducibility of Generalized Stern Polynomials. - Karl Dilcher; Larry Ericksen (Integers, 2015)

The Polynomials of Mahler and Roots of Unity. - Karl Dilcher; Larry Ericksen (Am. Math. Mon., 2015)

Euler and the Strong Law of Small Numbers. - Karl Dilcher; Christophe Vignat (Am. Math. Mon., 2016)

A role for generalized Fermat numbers. - John B. Cosgrave; Karl Dilcher (Math. Comput., 2017)

Infinite products involving Dirichlet characters and cyclotomic polynomials. - Karl Dilcher; Christophe Vignat (Adv. Appl. Math., 2018)

Square Classes and Divisibility Properties of Stern Polynomials. - Karl Dilcher; Hayley Tomkins (Integers, 2018)

Polynomials Characterizing Hyper b-ary Representations. - Karl Dilcher; Larry Ericksen (J. Integer Seq., 2018)

Polynomial Analogues of Restricted b-ary Partition Functions. - Karl Dilcher; Larry Ericksen (J. Integer Seq., 2019)

Analytic Continuations of Character and Alternating Tornheim Zeta Functions. - Karl Dilcher (Am. Math. Mon., 2021)

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)

The Powers of Certain Number-Theoretic Matrices. - Karl Dilcher; Kurt Girstmair (Am. Math. Mon., 2022)

Hankel Determinants of shifted sequences of Bernoulli and Euler numbers. - Karl Dilcher; Lin Jiu (Contributions Discret. Math., 2023)