Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some supercongruences on truncated ${}_3F_2$ hypergeometric series   In 2003, Rodriguez-Villegas conjectured four supercongruences on the
truncated ${}_3F_2$ hypergeometric series for certain modular K3 surfaces,
which were gradually proved by several authors. Motivated by some
supercongruences on combinatorial numbers such as Ap\'ery numbers and Domb
numbers, we establish some new supercongruences on the truncated ${}_3F_2$
hypergeometric series, which extend the four Rodriguez-Villegas
supercongruences.

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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: physics
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph