Zobrazeno 1 - 10
of 45
pro vyhledávání: '"Kilford, P. J."'
Autor:
Kilford, L J P, Raji, Wissam
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 points in the upper half plane are actually classical modular forms. W
Externí odkaz:
http://arxiv.org/abs/1007.5257
Autor:
Kilford, L. J. P.
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 associated with via the Atkin--Swinnerton-Dyer correspondence. We also p
Externí odkaz:
http://arxiv.org/abs/0910.0739
Autor:
Kilford, L. J. P., Wiese, Gabor
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^{N,\chi}_{l,k} for all primes l, all weights k>1 and all characters \c
Externí odkaz:
http://arxiv.org/abs/0905.4372
Autor:
Kilford, L. J. P.
In this article we will show how to compute $U_p$ acting on spaces of overconvergent $p$-adic modular forms when $X_0(p)$ has genus 1. We first give a construction of Banach bases for spaces of overconvergent $p$-adic modular forms, and then give an
Externí odkaz:
http://arxiv.org/abs/0810.4788
Autor:
Kilford, L. J. P.
We consider a novel version of the classical Jacquet-Langlands {correspondence}, explore a $p$-adic extension of the Jacquet-Langlands correspondence, and as an explicit example we find an overconvergent automorphic form of weight~1 which corresponds
Externí odkaz:
http://arxiv.org/abs/0809.1048
Autor:
Kilford, L. J. P.
In this note we consider a question of Ono, concerning which spaces of classical modular forms can be generated by sums of $\eta$-quotients. We give some new examples of spaces of modular forms which can be generated as sums of $\eta$-quotients, and
Externí odkaz:
http://arxiv.org/abs/math/0701478
Autor:
Kilford, L. J. P., Wiese, Gabor
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 characteristic p such that the attached mod p Galois representation is u
Externí odkaz:
http://arxiv.org/abs/math/0612317
Autor:
Kilford, L. J. P.
In this note we generalise a method of Perott to give new proofs that there are infinitely many prime numbers.
Comment: Correcting typos
Comment: Correcting typos
Externí odkaz:
http://arxiv.org/abs/math/0610066
Autor:
Kilford, L. J. P.
We show that the slopes of the~$U_5$ operator acting on slopes of 5-adic overconvergent modular forms of weight~$k$ with primitive Dirichlet character~$\chi$ of conductor~25 are given by either \[ \left\{{1/4}\cdot\lfloor\frac{8i}{5}\rfloor: i \in \N
Externí odkaz:
http://arxiv.org/abs/math/0606363
Autor:
Kilford, L. J. P.
In this paper, we use techniques of Conrey, Farmer and Wallace to find spaces of modular forms $S_k(\Gamma_0(N))$ where all of the eigenspaces have Hecke eigenvalues defined over $\F_p$, and give a heuristic indicating that these are all such spaces.
Externí odkaz:
http://arxiv.org/abs/math/0606052