Mohammad H. Hamdar

works on

elliptic curves 1 modular l-functions 1 quadratic twists 1 rank 1 sums of two squares 1

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

math.NT2026

Ranks of Elliptic Curves Twisted by Quadratic Forms

Mohammad H. Hamdar, Cihan Sabuncu

The paper proves that for any elliptic curve over ℚ there are infinitely many quadratic twists by integers that are sums of two squares for which the twisted curve has rank 1, usin…

math.NT2026

Joint Sato-Tate Laws for Transformations of Hecke Eigenvalues: The Vertical Case

Mohammad H. Hamdar, Tian Wang

We introduce a framework within which a large class of joint equidistribution problems can be studied and resolved with effective error terms. This involves proving a higher dimens…

math.NT2026

Hecke $L$ -functions Away From The Central Line

Mohammad H. Hamdar

We compute the first moment of cubic Hecke $L$ -functions over $Q (- 3)$ evaluated at any $s$ inside the critical strip. The first moment for $s < \frac{1}{2}$ is partic…

Ranks of Elliptic Curves Twisted by Quadratic Forms

Joint Sato-Tate Laws for Transformations of Hecke Eigenvalues: The Vertical Case

Hecke L-functions Away From The Central Line

Hecke $L$ -functions Away From The Central Line