Length and denominators of Egyptian fractions
β Scribed by Hisashi Yokota
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 353 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0022-314X
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π SIMILAR VOLUMES
We discuss the problem of representing a natural number \(n\) as a sum of certain of its distinct positive proper \((\neq n)\) divisors. If this is possible \(n\) is called semiperfect. We present a method which leads in certain cases to a verification that all abundant numbers with prime divisors l
Let M be a finitely generated module over a Noetherian local ring (R, m) with dim M = d. Let (x 1 , . . . , x d ) be a system of parameters of M and (n 1 , . . . , n d ) a set of positive integers. Consider the length of generalized fraction 1/(x n 1 1 , . . . , x n d d , 1) as a function in n 1 , .