3 papers
math.NT2026
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…
math.RA2026
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…
math.NT2026
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…