3 citations · 3 across the 10 of their papers we have counts for
13 papers
Hecke modules associated to certain even ternary lattices of half-discriminant
Samadrito Bhattacharyya, Giovanna De Lauri, Dan Fretwell
We consider Hecke modules of orthogonal modular forms attached to definite even ternary lattices of half-discriminant , where is odd and square-free. We prove explicit…
On smooth elements in arithmetic semigroups
Giovanna De Lauri, Dan Fretwell, Jack Ye
In this paper we explore the concept of smoothness in arithmetic semigroups. In particular, we give explicit asymptotics for the counting function when the arithmetic se…
Hilbert modular Eisenstein congruences of local origin
Dan Fretwell, Jenny Roberts
Let be an arbitrary totally real field. Under weak conditions we prove the existence of certain Eisenstein congruences between parallel weight Hilbert eigenforms of…
Symmetric bilinear forms, superalgebras and integer matrix factorization
Dan Fretwell, Jenny Roberts
We construct and investigate certain (unbalanced) superalgebra structures on , with a field of characteristic and a finite dimensional -vector space…
On -superirreducible polynomials over finite fields
Jonathan W. Bober, Lara Du, Dan Fretwell +2
We investigate -superirreducible polynomials, by which we mean irreducible polynomials that remain irreducible under any polynomial substitution of positive degree at most .…
Newform Eisenstein Congruences of Local Origin
Dan Fretwell, Jenny Roberts
We give a general conjecture concerning the existence of Eisenstein congruences between weight newforms of square-free level and weight new Eisenstein series of…
Definite orthogonal modular forms: Computations, Excursions and Discoveries
Eran Assaf, Dan Fretwell, Colin Ingalls +3
We consider spaces of modular forms attached to definite orthogonal groups of low even rank and nontrivial level, equipped with Hecke operators defined by Kneser neighbours. After…
Interacting Particle Systems and Jacobi Style Identities
Márton Balázs, Dan Fretwell, Jessica Jay
We consider the family of nearest neighbour interacting particle systems on allowing , or particles at a site. We parametrize a wide subfamily of processes…
Automorphic forms for some even unimodular lattices
Neil Dummigan, Dan Fretwell
We look at genera of even unimodular lattices of rank over the ring of integers of and of rank over the ring of integers of ,…
Hecke operators on Hilbert-Siegel theta series
Dan Fretwell, Lynne Walling
We consider the action of Hecke-type operators on Hilbert-Siegel theta series attached to lattices of even rank. We show that average Hilbert-Siegel theta series are eigenforms for…
Smooth values of polynomials
Jonathan Bober, Dan Fretwell, Greg Martin +1
Given of positive degree, we investigate the existence of auxiliary polynomials for which factors as a product of polynomials of…
Generic level Eisenstein congrunces for GSp
Dan Fretwell
We investigate level Eisenstein congruences for GSp, generalisations of level congruences predicted by Harder. By studying the associated Galois and automorphic represe…
Genus 2 paramodular Eisenstein congruences
Dan Fretwell
We investigate certain Eisenstein congruences, as predicted by Harder, for level p paramodular forms of genus 2. We use algebraic modular forms to generate new evidence for the con…