journal article
oaidoi:10.1016/j.aam.2012.06.003

Some q-congruences related to 3-adic valuations

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Publication date
31 October 2012
Publisher
Elsevier Inc.
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    Abstract

    AbstractIn 1992, Strauss, Shallit and Zagier proved that for any positive integer a,∑k=03a−1(2kk)≡0(mod32a) and furthermore132a∑k=03a−1(2kk)≡1(mod3). Recently a q-analogue of the first congruence was conjectured by Guo and Zeng. In this paper we prove the conjecture of Guo and Zeng, and also give a q-analogue of the second congruence

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