Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasimodular moonshine and arithmetic connections   We prove the existence of a module for the largest Mathieu group, whose trace
functions are weight two quasimodular forms. Restricting to the subgroup fixing
a point, we see that the integrality of these functions is equivalent to
certain divisibility conditions on the number of $\mathbb{F}_p$ points on
Jacobians of modular curves. Extending such expressions to arbitrary primes, we
find trace functions for modules of cyclic groups of prime order with similar
connections. Moreover, for cyclic groups, we give an explicit vertex operator
algebra construction whose trace functions are given only in terms of weight
two Eisenstein series.

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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: econ
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an