Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher order modular forms and mixed Hodge theory   In this paper we introduce a certain space of higher order modular forms of
weight 0 and show that it has a Hodge structure coming from the geometry of the
fundamental group of a modular curve. This generalizes the usual structure on
classical weight 2 forms coming from the cohomology of the modular curve.
Further we construct some higher order Poincare series to get higher order
higher weight forms and using them we define a space of higher weight, higher
order forms which has a mixed Hodge structure as well.

12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ