26 citations · 85 across the 20 of their papers we have counts for
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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…
Classification of congruences for mock theta functions and weakly holomorphic modular forms
Nickolas Andersen
Let denote Ramanujan's mock theta function \[f(q) = \sum_{n=0}^{\infty} a(n) q^{n} := 1+\sum_{n=1}^{\infty} \frac{q^{n^{2}}}{(1+q)^{2}(1+q^{2})^{2}\cdots(1+q^{n})^{2}}.\] It…
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…
Effective Congruences for Mock Theta Functions
Nickolas Andersen, Holley Friedlander, Jeremy Fuller +1
Let M(q)=\sum c(n) q^n be one of Ramanujan's mock theta functions. We establish the existence of infinitely many linear congruences of the form c(An+B) \equiv 0 (mod \ell^j), where…