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arxiv: 1103.5384 · v5 · pith:ZHHPBYWNnew · submitted 2011-03-28 · 🧮 math.NT · math.CO

Some conjectures on congruences

classification 🧮 math.NT math.CO
keywords congruencesconjecturesauthorbinarybinomialcoefficientscollectconcerned
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Let $p$ be an odd prime. In the paper we collect the author's various conjectures on congruences modulo $p$ or $p^2$, which are concerned with sums of binomial coefficients, Lucas sequences, power residues and special binary quadratic forms.

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