Arithmetic progression sums of binomial coefficients
β Scribed by J. Konvalina; Y.-H. Liu
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 123 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0893-9659
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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
~roughout this paper we use the following notatians: The cardinality of the finite set Y is denoted by ISI -.s& B8, . I s den&e finite or infinite sets of positive integers. If & is a finite or infinite set of positive integers, then S(d) denotes the set of the distinct positive integers n that can