Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extension of a conjectural supercongruence of (G.3) of Swisher using
  Zeilberger's algorithm   Using Zeilberger's algorithm, we here give a proof of the supercongruence $$
\sum_{n=0}^{\frac{p^r-3}{4}}(8n+1)\frac{\left(\frac{1}{4}\right)_n^4}{(1)_n^4}\equiv
-p^3
\sum_{n=0}^{\frac{p^{r-2}-3}{4}}(8n+1)\frac{\left(\frac{1}{4}\right)_n^4}{(1)_n^4}
~~(\text{mod }p^{\frac{3r-1}{2}}),$$ for any odd integer $r>3$. This extends
the third conjectural supercongruence of (G.3) of Swisher to modulo higher
prime powers than that expected by Swisher.

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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: q-alg
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The categories of this paper are: math-ph
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The categories of this paper are: cs
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The categories of this paper are: nlin
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: eess