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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…