Congruences for sums of binomial coeffic
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Zhi-Wei Sun; Roberto Tauraso
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Article
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2007
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Elsevier Science
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English
β 135 KB
Let q > 1 and m > 0 be relatively prime integers. We find an explicit period Ξ½ m (q) such that for any integers n > 0 and r we have whenever a is an integer with gcd(1 -(-a) m , q) = 1, or a β‘ -1 (mod q), or a β‘ 1 (mod q) and 2 | m, where n r m (a) = kβ‘r (mod m) n k a k . This is a further extensio