21 citations · 125 across the 34 of their papers we have counts for
4 papers · 1 filter
Arithmetic Progressions of Squares and Multiple Dirichlet Series
Thomas A. Hulse, Chan Ieong Kuan, David Lowry-Duda +1
We study a Dirichlet series in two variables which counts primitive three-term arithmetic progressions of squares. We show that this multiple Dirichlet series has meromorphic conti…
Visualizing modular forms
David Lowry-Duda
We examine several currently used techniques for visualizing complex-valued functions applied to modular forms. We plot several examples and study the benefits and limitations of e…
Computing classical modular forms
Alex J. Best, Jonathan Bober, Andrew R. Booker +8
We discuss practical and some theoretical aspects of computing a database of classical modular forms in the L-functions and Modular Forms Database (LMFDB).
Congruent number triangles with the same hypotenuse
David Lowry-Duda, Brendan Hassett
In this article, we discuss whether a single congruent number can have two (or more) distinct triangles with the same hypotenuse. We also describe and carry out computational e…