M. Wieczorek

activity

20182025

collaborators

3 papers

math.NT2025

Generalized Sierpiński and Riesel numbers of the form $t b^{t} + α$

Hailey Evans, Joshua Harrington, Kendall Heiney +1

Let $b \geq 2$ be an integer. We call an integer $k$ a $b$ -Sierpiński number if $g cd (k + 1, b - 1) = 1$ and $k \cdot b^{n} + 1$ is composite for all positive integers $n$ . We similarly call $k…

math.NT2020

Andrews-Bressoud series and Wronskians

Maggie Wieczorek

The Andrews-Bressoud identities are one of many families of $q$ -series identities relating an infinite sum to an infinite product. While the original motivation for studying these…

math.NT2018

Congruences for modular forms and generalized Frobenius partitions

Marie Jameson, Maggie Wieczorek

The partition function is known to exhibit beautiful congruences that are often proved using the theory of modular forms. In this paper, we study the extent to which these congruen…

Generalized Sierpiński and Riesel numbers of the form tbt+α

Andrews-Bressoud series and Wronskians

Congruences for modular forms and generalized Frobenius partitions

Generalized Sierpiński and Riesel numbers of the form $t b^{t} + α$