842 citations
- Harvard UniversityUS8 papers
- University of California, BerkeleyUS5 papers
- CEA Paris-SaclayFR3 papers
- Center for Astrophysics Harvard & SmithsonianUS3 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR3 papers
- Massachusetts Institute of TechnologyUS3 papers
- Stanford UniversityUS3 papers
- University of California, Los AngelesUS3 papers
- Bar-Ilan UniversityIL2 papers
- Boston UniversityUS2 papers
- Brookhaven National LaboratoryUS2 papers
- CEA Paris-Saclay - Etablissement de SaclayFR2 papers
Showing 2003 · math.NTShow all
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math.NT2003
On the Ramification of Hecke Algebras at Eisenstein Primes
Frank Calegari, Matthew Emerton
Using the modularity technique of Wiles, we study the Hecke algebra of weight 2 and prime level N localized at the Eisenstein primes. On the way, we recover some results of Mazur (…
math.NT2003★ 2 cited
Slopes of overconvergent 2-adic modular forms
Kevin Buzzard, Frank Calegari
The slope of a p-adic overconvergent eigenform of weight k is the p-adic valuation of its U_p eigenvalue. We find the slope of all 2-adic finite slope overconvergent eigenforms of…
math.NT2003★ 13 cited
Elliptic curves and class field theory
Barry Mazur, Karl Rubin
Suppose is an elliptic curve defined over $\Q$. At the 1983 ICM the first author formulated some conjectures that propose a close relationship between the explicit class field…