11 citations · 19 across the 13 of their papers we have counts for
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Slopes of the U_7 Operator Acting on a Space of Overconvergent Modular Forms
Ken McMurdy, Lloyd Kilford
Let χ be the primitive Dirichlet character of conductor 49 defined by χ(3)=ζ, for ζ a primitive 42nd root of unity. We explicitly compute the slopes of the U_7 operator acting on t…
On generalized modular forms supported on cuspidal and elliptic points
L J P Kilford, Wissam Raji
In this paper, we extend previous results to prove that generalized modular forms with rational Fourier expansions whose divisors are supported only at the cusps and certain other…
Experimental finding of modular forms for noncongruence subgroups
L. J. P. Kilford
In this paper we will use experimental and computational methods to find modular forms for non-congruence subgroups, and the modular forms for congruence subgroups that they are as…
On mod p representations which are defined over F_p: II
L. J. P. Kilford, Gabor Wiese
The behaviour of Hecke polynomials modulo p has been the subject of some study. In this note we show that, if p is a prime, the set of integers N such that the Hecke polynomials T^…
On a -adic extension of the Jacquet-Langlands correspondence to weight 1
L. J. P. Kilford
We consider a novel version of the classical Jacquet-Langlands {correspondence}, explore a -adic extension of the Jacquet-Langlands correspondence, and as an explicit example we…
Generating spaces of modular forms with -quotients
L. J. P. Kilford
In this note we consider a question of Ono, concerning which spaces of classical modular forms can be generated by sums of -quotients. We give some new examples of spaces of mod…