Zobrazeno 1 - 10
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pro vyhledávání: '"Fretwell, Dan"'
Autor:
Fretwell, Dan, Roberts, Jenny
Let $F$ be an arbitrary totally real field. Under weak conditions we prove the existence of certain Eisenstein congruences between parallel weight $k \geq 3$ Hilbert eigenforms of level $\mathfrak{mp}$ and Hilbert Eisenstein series of level $\mathfra
Externí odkaz:
http://arxiv.org/abs/2411.06987
Autor:
Fretwell, Dan, Roberts, Jenny
We construct and investigate certain (unbalanced) superalgebra structures on $\text{End}_K(V)$, with $K$ a field of characteristic $0$ and $V$ a finite dimensional $K$-vector space (of dimension $n\geq 2$). These structures are induced by a choice of
Externí odkaz:
http://arxiv.org/abs/2404.17881
We investigate $k$-superirreducible polynomials, by which we mean irreducible polynomials that remain irreducible under any polynomial substitution of positive degree at most $k$. Let $\mathbb F$ be a finite field of characteristic $p$. We show that
Externí odkaz:
http://arxiv.org/abs/2309.15304
Autor:
Fretwell, Dan, Roberts, Jenny
We give a general conjecture concerning the existence of Eisenstein congruences between weight $k\geq 3$ newforms of square-free level $NM$ and weight $k$ new Eisenstein series of square-free level $N$. Our conjecture allows the forms to have arbitra
Externí odkaz:
http://arxiv.org/abs/2306.09842
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 reviewing algorithms to compute with these spaces, we investigate endo
Externí odkaz:
http://arxiv.org/abs/2203.06405
Publikováno v:
Research in the Mathematical Sciences volume 9, Article number: 48 (2022)
We consider the family of nearest neighbour interacting particle systems on $\mathbb{Z}$ allowing $0$, $1$ or $2$ particles at a site. We parametrize a wide subfamily of processes exhibiting product blocking measure and show how this family can be "s
Externí odkaz:
http://arxiv.org/abs/2011.05006
Autor:
Dummigan, Neil, Fretwell, Dan
We look at genera of even unimodular lattices of rank $12$ over the ring of integers of $\mathbb{Q}(\sqrt{5})$ and of rank $8$ over the ring of integers of $\mathbb{Q}(\sqrt{3})$, using Kneser neighbours to diagonalise spaces of scalar-valued algebra
Externí odkaz:
http://arxiv.org/abs/2003.08703
Autor:
Fretwell, Dan, Walling, Lynne
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 these operators, and we explicitly compute the eigenvalues.
Externí odkaz:
http://arxiv.org/abs/1909.01852
Given $f\in \mathbb{Z}[t]$ of positive degree, we investigate the existence of auxiliary polynomials $g\in \mathbb{Z}[t]$ for which $f(g(t))$ factors as a product of polynomials of small relative degree. One consequence of this work shows that for an
Externí odkaz:
http://arxiv.org/abs/1710.01970
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