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Additive Sums of Generalized Shifted Ternary Divisor Functions
Alia Hamieh, Do Nhat Tan Vo
In this paper, we prove a conditional result that yields an asymptotic formula with an explicit main term and a power-saving error term for the generalized shifted ternary additive…
Twisted Moments of Rankin-Selberg -functions in the Prime-Power Level Aspect
Fatma Çiçek, Alia Hamieh
We compute the twisted first and second moments of the shifted central values of the Rankin-Selberg -functions given by as varies over…
Explicit zero-free regions for automorphic -functions
Steven Creech, Alia Hamieh, Simran Khunger +3
Let be the -function associated with a newform of even weight , squarefree level and trivial nebentypus. In this paper, we establish a new explicit zero-free…
Low-Lying Zeros of -functions of Adélic Hilbert Modular Forms and their Convolutions
Alia Hamieh, Peng-Jie Wong
In this article, we study the density conjecture of Katz and Sarnak for -functions of adélic Hilbert modular forms and their convolutions. In particular, under the generalised R…
Comparative Prime Number Theory Problem List
Alia Hamieh, Habiba Kadiri, Greg Martin +1
This is a list of problems that were collected from participants at the Comparative Prime Number Theory Symposium held at UBC from June 17 to June 21, 2024. Its goal is to stimulat…
Moments of -functions Problem List
Alia Hamieh, Habiba Kadiri, Nathan Ng +1
This is an ongoing list of problems that has resulted from the PIMS (Pacific Institute of Mathematical Sciences) Collaborative Research Group L-functions in Analytic Number Theory:…
A Note on Large Sums of Divisor-Bounded Multiplicative Functions
Claire Frechette, Mathilde Gerbelli-Gauthier, Alia Hamieh +1
Given a multiplicative function , we let be the associated partial sum. In this note, we show that lower bounds on partial sums of divisor-bounded fu…
Mean values of long Dirichlet polynomials with divisor coefficients
Fatma Cicek, Alia Hamieh, Nathan Ng
In this article, we prove an asymptotic formula for the mean value of long smoothed Dirichlet polynomials with divisor coefficients. Our result has a main term that includes all lo…