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math.NT2023
On Artin's Primitive Root Conjecture for Function Fields over
Leonhard Hochfilzer, Ezra Waxman
In 1927, E. Artin proposed a conjecture for the natural density of primes for which generates . By carefully observing numerical deviations…
math.NT2023
On the number of lattice points in thin sectors
Ezra Waxman, Nadav Yesha
On the circle of radius centred at the origin, consider a ``thin'' sector about the fixed line with edges given by the lines , where $ε= ε_R \rightarro…
math.NT2023
Thue equations over : The Complete Solution of a Simple quartic family
Bernadette Faye, Ingrid Vukusic, Ezra Waxman +1
In this paper we completely solve a simple quartic family of Thue equations over . Specifically, we apply the ABC-Theorem to find all solutions $(x,y) \in \mathbb{C}…