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q-Analogue of Wilson's theorem

Number Theory 2007-05-23 v4 Combinatorics

Abstract

We give q-analogues of Wilson's theorem for the primes congruent 1 and 3 modulo 4 respectively. And q-analogues of two congruences due to Mordell and Chowla are also established.

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Cite

@article{arxiv.math/0606152,
  title  = {q-Analogue of Wilson's theorem},
  author = {Robin Chapman and Hao Pan},
  journal= {arXiv preprint arXiv:math/0606152},
  year   = {2007}
}

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8 pages