Generalized Frobenius Number of Three Variables

Autor:	Subwattanachai, Kittipong
Rok vydání:	2023
Předmět:	Mathematics - Number Theory 11D07 (Primary) 11B34 (Secondary)
Druh dokumentu:	Working Paper
Popis:	For $ k \geq 2 $, we let $ A = (a_{1}, a_{2}, \ldots, a_{k}) $ be a $k$-tuple of positive integers with $\gcd(a_{1}, a_2, \ldots, a_k) =1$ and, for a non-negative integer $s$, the generalized Frobenius number of $A$, $g(A;s) = g(a_1, a_2, \ldots, a_k;s)$, the largest integer that has at most $s$ representations in terms of $a_1, a_2, \ldots, a_k$ with non-negative integer coefficients. In this article, we give a formula for the generalized Frobenius number of three positive integers $(a_1,a_2,a_3)$ with certain conditions. Comment: 13 pages, comments welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.09149 Zobrazit plný text záznamu View this record from Arxiv