1 citations · 1 across the 3 of their papers we have counts for
4 papers
On the failure of the Gorenstein property for Hecke algebras of prime weight
L. J. P. Kilford, Gabor Wiese
In this article we report on extensive calculations concerning the Gorenstein defect for Hecke algebras of spaces of modular forms of prime weight p at maximal ideals of residue ch…
A generalisation of a congruence due to Vantieghem only holding for primes
L. J. P. Kilford
In this note we present a family of congruences which hold if and only if a natural number is prime.
Slopes of 2-adic overconvergent modular forms with small level
L J P Kilford
Let be the primitive Dirichlet character of conductor 4, let be the primitive even Dirichlet character of conductor 8 and let be an integer. Then the operator act…
Some non-Gorenstein Hecke algebras attached to spaces of modular forms
L. J. P. Kilford
This paper answers a question of Gross and others, by exhibiting specific examples of Hecke algebras where mod 2 multiplicity one fails for some modular forms, and the associated H…