57 citations · 172 across the 24 of their papers we have counts for
29 papers
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…
A new type of superorthogonality
Philip T. Gressman, Lillian B. Pierce, Joris Roos +1
We provide a simple criterion on a family of functions that implies a square function estimate on for every even integer . This defines a new type of superorthogona…
On Polynomial Carleson operators along quadratic hypersurfaces
Theresa C. Anderson, Dominique Maldague, Lillian B. Pierce +1
We prove that a maximally modulated singular oscillatory integral operator along a hypersurface defined by , for an arbitrary non-degenerate qua…
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{…
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…
Geometric generalizations of the square sieve, with an application to cyclic covers
Alina Bucur, Alina Carmen Cojocaru, Matilde N. Lalín +1
We formulate a general problem: given projective schemes and over a global field and a -morphism from to of finite de…