4 citations · 4 across the 7 of their papers we have counts for
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math.NT2018
Number fields with prescribed norms
Christopher Frei, Daniel Loughran, Rachel Newton +2
We study the distribution of extensions of a number field with fixed abelian Galois group , from which a given finite set of elements of are norms. In particular, we sho…
math.NT2018
Arithmetic of rational points and zero-cycles on products of Kummer varieties and K3 surfaces
Francesca Balestrieri, Rachel Newton
Let be a number field. In the spirit of a result by Yongqi Liang, we relate the arithmetic of rational points over finite extensions of to that of zero-cycles over for…
math.NT2018
Arithmetic of rational points and zero-cycles on Kummer varieties
Francesca Balestrieri, Rachel Newton
Let be a number field, let be a Kummer variety over , and let be an odd integer. In the spirit of a result by Yongqi Liang, we relate the arithmetic of rational poin…