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Some conjectures on congruences (1103.5384v5)
Published 28 Mar 2011 in math.NT and math.CO
Abstract: Let $p$ be an odd prime. In the paper we collect the author's various conjectures on congruences modulo $p$ or $p2$, which are concerned with sums of binomial coefficients, Lucas sequences, power residues and special binary quadratic forms.