2 citations · 2 across the 11 of their papers we have counts for
14 papers
Large Sums of Fourier Coefficients of Cusp Forms
Claire Frechette, Mathilde Gerbelli-Gauthier, Alia Hamieh +1
Let be a fixed positive integer, and let be a primitive cusp form given by the Fourier expansion . We consi…
Quartic Gauss sums over primes and metaplectic theta functions
Chantal David, Alexander Dunn, Alia Hamieh +1
We improve 1987 estimates of Patterson for sums of quartic Gauss sums over primes. Our Type-I and Type-II estimates feature new ideas, including use of the quadratic large sieve ov…
Value-Distribution of Logarithmic Derivatives of Quadratic Twists of Automorphic -functions
Amir Akbary, Alia Hamieh
Let , and let be a fixed cuspidal automorphic representation of with unitary central character. We determine the limi…
The Distribution of Values of
Alia Hamieh, Rory McClenagan
We determine the limiting distribution of the family of values as varies over fundamental discriminants. Here, , and is the real ch…
Mean values of long Dirichlet polynomials with higher divisor coefficients
Alia Hamieh, Nathan Ng
In this article, we prove an asymptotic formula for mean values of long Dirichlet polynomials with higher order shifted divisor functions, assuming a smoothed additive divisor conj…
Two dimensional value-distribution of cubic Hecke -functions
Amir Akbary, Alia Hamieh
We establish the two-dimensional asymptotic distributions of the logarithm and logarithmic derivative of -functions associated with a family of cubic Hecke characters. A crucial…
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 -functions of cuspidal Hilbert modular forms with sufficiently large weight do not vanish on the line segments $\…
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 -function of two adèlic Hilbert primitive forms and , both of which have…
Value-distribution of cubic Hecke -functions
Amir Akbary, Alia Hamieh
Let , and let be a square free algebraic integer such that . Let be the…
Lower Bounds for Heights in Relative Galois Extensions
Shabnam Akhtari, Kevser Aktaş, Kirsti Biggs +3
The goal of this paper is to obtain lower bounds on the height of an algebraic number in a relative setting, extending previous work of Amoroso and Masser. Specifically, in our fir…
Ternary Quadratic Forms And Half-Integral Weight Modular Forms
Alia Hamieh
Let be a positive integer such that , and let be a positive square-free integer. In this paper, we compute a basis for the two-dimensional subspace $S_{\frac…
Determining Hilbert Modular Forms by Central Values of Rankin-Selberg Convolutions: The Weight Aspect
Alia Hamieh, Naomi Tanabe
The purpose of this paper is to prove that a primitive Hilbert cusp form is uniquely determined by the central values of the Rankin-Selberg -functions $L(\mathbf{f}…
Determining Hilbert Modular Forms by Central Values of Rankin-Selberg Convolutions: The Level Aspect
Alia Hamieh, Naomi Tanabe
In this paper, we prove that a primitive Hilbert cusp form is uniquely determined by the central values of the Rankin-Selberg -functions $L(\mathbf{f}\otimes\mathbf…
Special Values of Anticyclotomic L-functions Modulo λ
Alia Hamieh
The purpose of this article is to generalize some results of Vatsal on studying the special values of Rankin-Selberg L-functions in an anticyclotomic -extension. Le…