On some conjectural congruences

Published 4 Apr 2019 in math.NT and math.CO | (1904.02550v1)

Abstract: In this paper, we confirm some congruences conjectured by V.J.W. Guo and M.J. Schlosser recently. For example, we show that for primes $p>3$, $$ \sum_{k=0}^{{p-1}(2pk-2k-1)\frac{\left(\frac{-1}{p-1}\right)_k^{{2p-2}}{(k!)^{{2p-2}}\equiv0\pmod{p^5}.}}} $$

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Authors (1)

Chen Wang

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