Steven Jin

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.NT2021

An Elliptic Curve Analogue of Pillai's Lower Bound on Primitive Roots

Steven Jin, Lawrence C. Washington

Let $E / Q$ be an elliptic curve. For a prime $p$ of good reduction, let $r (E, p)$ be the smallest non-negative integer that gives the $x$ -coordinate of a point of maximal or…

math.RA2020

Iterated Differential Polynomial Rings over Locally Nilpotent Rings

Steven Jin, Jooyoung Shin

We study iterated differential polynomial rings over a locally nilpotent ring and show that a large class of such rings are Behrens radical. This extends results of Chebotar and Ch…

math.NT2019

Linnik's large sieve and the $L^{1}$ norm of exponential sums

Emily Eckels, Steven Jin, Andrew Ledoan +1

The method of proof of Balog and Ruzsa and the large sieve of Linnik are used to investigate the behaviour of the $L^{1}$ norm of a wide class of exponential sums over the square-f…

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

An Elliptic Curve Analogue of Pillai's Lower Bound on Primitive Roots

Iterated Differential Polynomial Rings over Locally Nilpotent Rings

Linnik's large sieve and the L1 norm of exponential sums

Linnik's large sieve and the $L^{1}$ norm of exponential sums