461 citations
- Polish Academy of SciencesPL3 papers
- Institut Élie Cartan de LorraineFR2 papers
- Institute of MathematicsPL2 papers
- Laboratoire de Statistique Théorique et AppliquéeFR2 papers
- Université de LorraineFR2 papers
- Brigham Young UniversityUS1 paper
- Eötvös Loránd UniversityHU1 paper
- Gesellschaft Fur Mathematik Und DatenverarbeitungDE1 paper
- Instituto de Aeronáutica e EspaçoBR1 paper
- San Francisco State UniversityUS1 paper
- Sorbonne UniversitéFR1 paper
- Universitat Autònoma de BarcelonaES1 paper
4 papers · 1 filter
A Computational Study of the Asymptotic Behaviour of Coefficient Fields of Modular Forms
Marcel Mohyla, Gabor Wiese
The article motivates, presents and describes large computer calculations concerning the asymptotic behaviour of arithmetic properties of coefficient fields of modular forms. The o…
On the generation of the coefficient field of a newform by a single Hecke eigenvalue
Koopa Tak-Lun Koo, William Stein, Gabor Wiese
Let f be a non-CM newform of weight k > 1. Let L be a subfield of the coefficient field of f. We completely settle the question of the density of the set of primes p such that the…
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…
Dihedral Galois representations and Katz modular forms
Gabor Wiese
We show that any two-dimensional odd dihedral representation ρover a finite field of characteristic p>0 of the absolute Galois group of the rational numbers can be obtained from a…