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math.NT2020
First-order theory of a field and its Inverse Galois Problem
Francesca Balestrieri, Jennifer Park, Alexandra Shlapentokh
Let be a finite group. Then there exists a first-order statement in the language of rings without parameters and depending only on such that, for any field , we h…
math.NT2020
Average Bateman--Horn for Kummer polynomials
Francesca Balestrieri, Nick Rome
For any and almost all smaller than , we show that the polynomial takes the expected number of prime values as range…