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- W2239901248 abstract "The theorems of Gauss and Jacobi that give modulo [Formula: see text] evaluations of certain central binomial coefficients have been extended, since the 1980s, to more classes of binomial coefficients and to congruences modulo [Formula: see text]. In this paper, we further extend these results to congruences modulo [Formula: see text]. In the process, we prove congruences to arbitrarily high powers of [Formula: see text] for certain quotients of Gauss factorials that resemble binomial coefficients and are related to Morita's [Formula: see text]-adic gamma function. These congruences are of a simple form and involve Catalan numbers as coefficients." @default.
- W2239901248 created "2016-06-24" @default.
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- W2239901248 date "2016-10-19" @default.
- W2239901248 modified "2023-09-25" @default.
- W2239901248 title "Analogues of the binomial coefficient theorems of Gauss and Jacobi" @default.
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- W2239901248 doi "https://doi.org/10.1142/s179304211650127x" @default.
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