2 papers
math.NT2026
Algebraic numbers and Fourier analysis: Salem's third problem
Khoa D. Nguyen
In 1963, Raphaël Salem concluded his highly influential book ``Algebraic Numbers and Fourier Analysis'' with a list of four unsolved problems. The first two problems remain wide o…
math.NT2026
Counting rational maps on with prescribed local conditions
Khoa D. Nguyen, Anwesh Ray
We explore distribution questions for rational maps on the projective line over within the framework of arithmetic dynamics, drawing analogies to ellipt…