The Frobenius problem for Generalized Thabit numerical semigroups
Kyunghwan Song
TL;DR
This paper investigates the Frobenius problem specifically for generalized Thabit numerical semigroups, aiming to determine the Frobenius number within this class, extending previous work on Thabit semigroups.
Contribution
It introduces the Frobenius problem for generalized Thabit numerical semigroups, expanding the understanding from classical Thabit semigroups to a broader class.
Findings
Defined the Frobenius number for generalized Thabit semigroups
Extended known results from Thabit to generalized Thabit semigroups
Provided methods to compute the Frobenius number in this new setting
Abstract
The greatest integer that does not belong to is the Frobenius number of and denoted by . To solve the Frobenius problem means the study to find . The Frobenius problem have treated steadily for a long time. In this paper, We will introduce the Frobenius problem for generalized Thabit numerical semigroups, which is motivated by the Frobenius problem for Thabit numerical semigroups.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Polynomial and algebraic computation · Algebraic structures and combinatorial models