Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Jacobi-Type Continued Fractions and Congruences for Binomial
  Coefficients Modulo Integers $h \geq 2$   We prove two new forms of Jacobi-type J-fraction expansions generating the
binomial coefficients, $\binom{x+n}{n}$ and $\binom{x}{n}$, over all $n \geq
0$. Within the article we establish new forms of integer congruences for these
binomial coefficient variations modulo any (prime or composite) $h \geq 2$ and
compare our results with existing known congruences for the binomial
coefficients modulo primes $p$ and prime powers $p^k$. We also prove new exact
formulas for these binomial coefficient cases from the expansions of the
$h^{th}$ convergent functions to the infinite J-fraction series generating
these coefficients for all $n$.

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The categories of this paper are: hep-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: cs
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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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: cond-mat
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The categories of this paper are: hep-th