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Generalization of harmonic sums involving inverse binomial coefficients

✍ Scribed by Ripon, Sarowar Morshed

Book ID: 125805810
Publisher: Taylor and Francis Group
Year: 2014
Tongue: English
Weight: 176 KB
Volume: 25
Category: Article
ISSN: 1065-2469
DOI: 10.1080/10652469.2014.928705

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Let q > 1 and m > 0 be relatively prime integers. We find an explicit period ν 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 ≡ -1 (mod q), or a ≡ 1 (mod q) and 2 | m, where n r m (a) = k≡r (mod m) n k a k . This is a further extensio