Ali Hamieh

activity

20182022

collaborators

5 papers

math.NT2022

The Distribution of Values of $\frac{L ^{'}}{L} (1/2 + ε, χ_{D})$

Alia Hamieh, Rory McClenagan

We determine the limiting distribution of the family of values $\frac{L ^{'}}{L} (1/2 + ε, χ_{D})$ as $D$ varies over fundamental discriminants. Here, $0 < ε < \frac{1}{2}$ , and $χ_{D}$ is the real ch…

math.NT2021

Two dimensional value-distribution of cubic Hecke $L$ -functions

Amir Akbary, Alia Hamieh

We establish the two-dimensional asymptotic distributions of the logarithm and logarithmic derivative of $L$ -functions associated with a family of cubic Hecke characters. A crucial…

math.NT2020

Non-Vanishing of Derivatives of L-Functions of Hilbert Modular Forms in The Critical Strip

Alia Hamieh, Wissam Raji

In this paper, we show that, on average, the derivatives of $L$ -functions of cuspidal Hilbert modular forms with sufficiently large weight $k$ do not vanish on the line segments $\…

math.NT2018

Non-vanishing of Rankin-Selberg Convolutions for Hilbert Modular Form

Alia Hamieh, Naomi Tanabe

In this paper, we study the non-vanishing of the central values of the Rankin-Selberg $L$ -function of two adèlic Hilbert primitive forms $f$ and $g$ , both of which have…

math.NT2018

Value-distribution of cubic Hecke $L$ -functions

Amir Akbary, Alia Hamieh

Let $k = Q (- 3)$ , and let $c \in O_{k}$ be a square free algebraic integer such that $c \equiv 1 (mod ⟨ 9 ⟩)$ . Let $ζ_{k (c^{1/3})} (s)$ be the…

The Distribution of Values of LL′​(1/2+ε,χD​)

Two dimensional value-distribution of cubic Hecke L-functions

Non-Vanishing of Derivatives of L-Functions of Hilbert Modular Forms in The Critical Strip

Non-vanishing of Rankin-Selberg Convolutions for Hilbert Modular Form

Value-distribution of cubic Hecke L-functions

The Distribution of Values of $\frac{L ^{'}}{L} (1/2 + ε, χ_{D})$

Two dimensional value-distribution of cubic Hecke $L$ -functions

Value-distribution of cubic Hecke $L$ -functions