GENERALIZED FROBENIUS NUMBER OF THREE VARIABLES
Abstract
For k ≥ 2, we let A = (a 1 , a 2 , . . ., a k ) be a k-tuple of positive integers with gcd(a 1 , a 2 , . . ., a k ) = 1 and, for a non-negative integer s, the generalized Frobenius number of A, g(A; s) = g(a 1 , a 2 , . . ., a k ; s), the largest integer that has at most s representations in terms of a 1 , a 2 , . . ., a k with non-negative integer coefficients.In this paper, we give a formula for the generalized Frobenius number of three positive integers (a 1 , a 2 , a 3 ) with certain conditions.
Fields of Study & Subjects
Graph theory and applications
Commutative Algebra and Its Applications
Coding theory and cryptography
Publication details
- Journal / source
- Kyushu Journal of Mathematics
- Volume
- 80
- Issue
- 1
- Pages
- 49–63
- Publication date
- 1 January 2026
- Language
- EN