Mohammad H. Hamdar

collaborators

4 papers

math.NT2026

Extreme values of central $L$ -derivatives and heights of Heegner points

Mohammad H. Hamdar, Sun-Kai Leung

Using Soundararajan's resonance method, we obtain extreme values of the central derivatives \[ L^{(r)}(1/2,f\otimesχ_d), \] where $f$ is a normalized newform and $χ_{d}$ ranges over…

math.NT2026

Ranks of Elliptic Curves Twisted by Quadratic Forms

Mohammad H. Hamdar, Cihan Sabuncu

Let $E$ be an elliptic curve over $Q$ and let $E^{d}$ be its twist by the quadratic character $χ_{d}$ . We prove there are infinitely many twists $d$ which are sums of two squa…

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.NT2025

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…

Extreme values of central L-derivatives and heights of Heegner points

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

Extreme values of central $L$ -derivatives and heights of Heegner points

Hecke $L$ -functions Away From The Central Line