57 citations · 172 across the 24 of their papers we have counts for
Showing 2022 · math.NTShow all
3 papers · 2 filters
math.NT2022★ 1 cited
Generalised quadratic forms over totally real number fields
Tim Browning, Lillian B. Pierce, Damaris Schindler
We introduce a new class of generalised quadratic forms over totally real number fields, which is rich enough to capture the arithmetic of arbitrary systems of quadrics over the ra…
math.NT2022★ 2 cited
Application of a polynomial sieve: beyond separation of variables
Dante Bonolis, Lillian B. Pierce
Let a polynomial be given. The square sieve can provide an upper bound for the number of integral such that $f(\mathbf{…
math.NT2022
Counting problems: class groups, primes, and number fields
Lillian B. Pierce
Each number field has an associated finite abelian group, the class group, that records certain properties of arithmetic within the ring of integers of the field. The class group i…