Some recurrences for sums of powers of binomial coefficients
β Scribed by Marci A. Perlstadt
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 228 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0022-314X
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π SIMILAR VOLUMES
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
In the Frobenius problem with two variables, one is given two positive integers a and b that are relative prime, and is concerned with the set of positive numbers NR that have no representation by the linear form ax + by in nonnegative integers x and y. We give a complete characterization of the set