Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the explicit construction of higher deformations of partition
  statistics   The modularity of the partition generating function has many important
consequences, for example asymptotics and congruences for $p(n)$. In a series
of papers the author and Ono \cite{BO1,BO2} connected the rank, a partition
statistic introduced by Dyson, to weak Maass forms, a new class of functions
which are related to modular forms and which were first considered in
\cite{BF}. Here we do a further step towards understanding how weak Maass forms
arise from interesting partition statistics by placing certain 2-marked Durfee
symbols introduced by Andrews \cite{An1} into the framework of weak Maass
forms. To do this we construct a new class of functions which we call quasiweak
Maass forms because they have quasimodular forms as components. As an
application we prove two conjectures of Andrews. It seems that this new class
of functions will play an important role in better understanding weak Maass
forms of higher weight themselves, and also their derivatives. As a side
product we introduce a new method which enables us to prove transformation laws
for generating functions over incomplete lattices.

31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga