Malik Amir

activity

20192021

collaborators

3 papers

math.NT2021

A short note on inadmissible coefficients of weight $2$ and $2 k + 1$ newforms

Malik Amir, Andreas Hatziiliou

Let $f (z) = q + \sum_{n \geq 2} a (n) q^{n}$ be a weight $k$ normalized newform with integer coefficients and trivial residual mod 2 Galois representation. We extend the results of Amir and…

math.NT2020

On $L$ -Functions of Modular Elliptic Curves and Certain $K 3$ Surfaces

Malik Amir, Letong Hong

Inspired by Lehmer's conjecture on the nonvanishing of the Ramanujan $τ$ -function, one may ask whether an odd integer $α$ can be equal to $τ (n)$ or any coefficient of a newform $f(…

math.NT2019

On Traces of Singular Moduli

Malik Amir

This article is an overview of Zagier's and Kim's work on traces of singular moduli. We give more detailed or new proofs to some of their results and also describe some algorithms…

A short note on inadmissible coefficients of weight 2 and 2k+1 newforms

On L-Functions of Modular Elliptic Curves and Certain K3 Surfaces

On Traces of Singular Moduli

A short note on inadmissible coefficients of weight $2$ and $2 k + 1$ newforms

On $L$ -Functions of Modular Elliptic Curves and Certain $K 3$ Surfaces