Jonas Iskander

activity

20192021

collaborators

4 papers

math.NT2021

An unconditional explicit bound on the error term in the Sato-Tate conjecture

Alexandra Hoey, Jonas Iskander, Steven Jin +1

Let $f (z) = \sum_{n = 1}^{\infty} a_{f} (n) q^{n}$ be a holomorphic cuspidal newform with even integral weight $k \geq 2$ , level $N$ , trivial nebentypus, and no complex multiplication (CM). F…

math.NT2020

On Class Numbers, Torsion Subgroups, and Quadratic Twists of Elliptic Curves

Talia Blum, Caroline Choi, Alexandra Hoey +3

The Mordell-Weil groups $E (Q)$ of elliptic curves influence the structures of their quadratic twists $E_{- D} (Q)$ and the ideal class groups $CL (- D)$ of i…

math.NT2020

Hyperbolicity of Appell Polynomials of Functions in the $δ$ -Laguerre-Pólya Class

Jonas Iskander, Vanshika Jain

We present a method for proving that Jensen polynomials associated with functions in the $δ$ -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 $p (n)$ has been a testing ground for applications of analytic number theory to combinatorics. In particular, Hardy and Ramanujan invented the "circle method"…

An unconditional explicit bound on the error term in the Sato-Tate conjecture

On Class Numbers, Torsion Subgroups, and Quadratic Twists of Elliptic Curves

Hyperbolicity of Appell Polynomials of Functions in the δ-Laguerre-Pólya Class

Exact Formulae for the Fractional Partition Functions

Hyperbolicity of Appell Polynomials of Functions in the $δ$ -Laguerre-Pólya Class