3 papers
math.NT2020
On Class Numbers, Torsion Subgroups, and Quadratic Twists of Elliptic Curves
Talia Blum, Caroline Choi, Alexandra Hoey +3
The Mordell-Weil groups of elliptic curves influence the structures of their quadratic twists and the ideal class groups of i…
math.NT2020
Hyperbolicity of Appell Polynomials of Functions in the -Laguerre-Pólya Class
Jonas Iskander, Vanshika Jain
We present a method for proving that Jensen polynomials associated with functions in the -Laguerre-Pólya class have all real roots, and demonstrate how it can be used to constru…
math.NT2019
Exact Formulae for the Fractional Partition Functions
Jonas Iskander, Vanshika Jain, Victoria Talvola
The partition function has been a testing ground for applications of analytic number theory to combinatorics. In particular, Hardy and Ramanujan invented the "circle method"…