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math.NT2026
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…
math.NT2026
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…