7.9k citations
- University of Illinois Urbana-ChampaignUS495 papers
- Argonne National LaboratoryUS297 papers
- University of MichiganUS290 papers
- Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali di FrascatiIT283 papers
- University of GlasgowGB279 papers
- Lawrence Berkeley National LaboratoryUS271 papers
- University of ChicagoUS270 papers
- Michigan State UniversityUS263 papers
- The Ohio State UniversityUS262 papers
- Duke UniversityUS261 papers
- University of LiverpoolGB261 papers
- University of PittsburghUS260 papers
Showing 2013 · math.NTShow all
3 papers · 2 filters
math.NT2013
Weak harmonic Maass forms of weight 5/2 and a mock modular form for the partition function
Scott Ahlgren, Nickolas Andersen
We construct a natural basis for the space of weak harmonic Maass forms of weight 5/2 on the full modular group. The non-holomorphic part of the first element of this basis encodes…
math.NT2013★ 4 cited
Mock theta functions and weakly holomorphic modular forms modulo 2 and 3
Scott Ahlgren, Byungchan Kim
We prove that the coefficients of certain mock theta functions possess no linear congruences modulo 3. We prove similar results for the moduli 2 and 3 for a wide class of weakly ho…
math.NT2013
Hecke grids and congruences for weakly holomorphic modular forms
Scott Ahlgren, Nickolas Andersen
Let denote the Atkin operator of prime index . Honda and Kaneko proved infinite families of congruences of the form for weakly holomorphic modu…