5 citations · 6 across the 5 of their papers we have counts for
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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…
An infinitude of proofs of the infinitude of primes
L. J. P. Kilford
In this note we generalise a method of Perott to give new proofs that there are infinitely many prime numbers.
On the slopes of the operator acting on overconvergent modular forms
L. J. P. Kilford
We show that the slopes of the~ operator acting on slopes of 5-adic overconvergent modular forms of weight~ with primitive Dirichlet character~ of conductor~25 are given…
On mod p modular representations which are defined over \F_p
L. J. P. Kilford
In this paper, we use techniques of Conrey, Farmer and Wallace to find spaces of modular forms where all of the eigenspaces have Hecke eigenvalues defined over $\F_p$…