21 citations · 125 across the 34 of their papers we have counts for
7 papers · 1 filter
On Murmurations and Trace Formulas
David Lowry-Duda
In recent work with Bober, Booker, Lee, Seymour-Howell, and Zubrilina, we proved murmuration behavior for Maass forms in the eigenvalue aspect and for modular forms in the weight a…
Machine learning the vanishing order of rational L-functions
Joanna Bieri, Giorgi Butbaia, Edgar Costa +6
In this paper, we study the vanishing order of rational -functions from a data scientific perspective. Each -function is represented in our data by finitely many Dirichlet co…
Learning Euler Factors of Elliptic Curves
Angelica Babei, François Charton, Edgar Costa +5
We apply transformer models and feedforward neural networks to predict Frobenius traces from elliptic curves given other traces . We train further models to predict $a_p…
A database of rigorous Maass forms
David Lowry-Duda
We announce a database of rigorously computed Maass forms on congruence subgroups and briefly describe the methods of computation.
The Fibonacci Zeta Function and Modular Forms
Eran Assaf, Chan Ieong Kuan, David Lowry-Duda +1
We show that a family of Dirichlet series generalizing the Fibonacci zeta function has meromorphic continuation in terms of dihedral Maass forms.
Studying number theory with deep learning: a case study with the Möbius and squarefree indicator functions
David Lowry-Duda
Building on work of Charton, we train small transformer models to calculate the Möbius function and the squarefree indicator function . The models attain nontrivial…
Learning Fricke signs from Maass form Coefficients
Joanna Bieri, Giorgi Butbaia, Edgar Costa +6
In this paper, we conduct a data-scientific investigation of Maass forms. We find that averaging the Fourier coefficients of Maass forms with the same Fricke sign reveals patterns…