1.3k citations
- Haverford CollegeUS14 papers
- Argonne National LaboratoryUS13 papers
- University of PennsylvaniaUS10 papers
- National Radio Astronomy ObservatoryUS9 papers
- Swinburne University of TechnologyAU9 papers
- University of California, BerkeleyUS9 papers
- University of Nebraska–LincolnUS9 papers
- Centre National de la Recherche ScientifiqueFR8 papers
- Columbia UniversityUS8 papers
- Fudan UniversityCN8 papers
- Johns Hopkins UniversityUS7 papers
- Massachusetts Institute of TechnologyUS7 papers
Showing 2017 · math.NTShow all
3 papers · 2 filters
math.NT2017★ 6 cited
On -adic -functions for Hilbert modular forms
John Bergdall, David Hansen
We construct -adic -functions associated with -refined cohomological cuspidal Hilbert modular forms over any totally real field under a mild hypothesis. Our construction i…
math.NT2017★ 7 cited
Slopes of modular forms and the ghost conjecture, II
John Bergdall, Robert Pollack
In a previous article, we constructed an entire power series over -adic weight space (the 'ghost series') and conjectured, in the -regular case, that this series encodes…
math.NT2017★ 4 cited
Upper bounds for constant slope -adic families of modular forms
John Bergdall
We study -adic families of eigenforms for which the -th Hecke eigenvalue has constant -adic valuation ("constant slope families"). We prove two separate upper bounds…