Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Congruences for coefficients of modular functions   We examine canonical bases for weakly holomorphic modular forms of weight $0$
and level $p = 2, 3, 5, 7, 13$ with poles only at the cusp at $\infty$. We show
that many of the Fourier coefficients for elements of these canonical bases are
divisible by high powers of $p$, extending results of the first author and
Andersen. Additionally, we prove similar congruences for elements of a
canonical basis for the space of modular functions of level $4$, and give
congruences modulo arbitrary primes for coefficients of such modular functions
in levels 1, 2, 3, 4, 5, 7, and 13.

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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: cs
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex