Name
Abstract | ||
|---|---|---|
We investigate certain finiteness questions that arise naturally when studying approximations modulo prime powers of p-adic Galois representations coming from modular forms. We link these finiteness statements with a question by K. Buzzard concerning p-adic coefficient fields of Hecke eigenforms. Specifically, we conjecture that, for fixed N, m, and prime p with p not dividing N, there is only a finite number of reductions modulo p(m) of normalized eigenforms on Gamma(1)(N). We consider various variants of our basic finiteness conjecture, prove a weak version of it, and give some numerical evidence. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1112/jlms/jdw045 | JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES |
Field | DocType | Volume |
Modular form,Prime (order theory),Topology,Finite set,Division (mathematics),Mathematical analysis,Modulo,Pure mathematics,Galois module,Conjecture,Mathematics | Journal | 94.0 |
Issue | ISSN | Citations |
2 | 0024-6107 | 0 |
PageRank | References | Authors |
0.34 | 1 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ian Kiming | 1 | 0 | 0.68 |
| nadim rustom | 2 | 0 | 0.34 |
| Gabor Wiese | 3 | 0 | 1.35 |