4 papers
The integral Hasse principle for stacky curves associated to a family of generalized Fermat equations
Juanita Duque-Rosero, Christopher Keyes, Andrew Kobin +3
We characterize the integral Hasse principle for an infinite family of spherical stacky curves with genus that are defined using generalized Fermat equations, extend…
Local data of elliptic curves under quadratic twist
Alexander J. Barrios, Manami Roy, Nandita Sahajpal +3
Let be the field of fractions of a complete discrete valuation ring with a perfect residue field. In this article, we investigate how the Tamagawa number of changes under…
Creating a dynamic database of finite groups
Lewis Combes, John W. Jones, Jennifer Paulhus +3
A database of abstract groups has been added to the L-functions and Modular Forms Database (LMFDB), available at https://www.lmfdb.org/Groups/Abstract/. We discuss the functionalit…
Supercongruences arising from Ramanujan-Sato Series
Angelica Babei, Manami Roy, Holly Swisher +2
Recently, the authors with Lea Beneish established a recipe for constructing Ramanujan-Sato series for , and used this to construct 11 explicit examples of Ramanujan-Sato seri…