Work

On Minimal Additive Complements

Year: 2025

Type: article

Abstract: Let C and W be two integer sets. If $C+W=\mathbb {Z}$ , then we say that C is an additive complement to W . If no proper subset of C is an additive complement to W , then we say that C is a minimal additive complement to W . We study the existence of a minimal additive complement to $W=\{w_i\}_{i=1}^{\infty}$ when W is not eventually periodic and $w_{i+1}-w_{i}\in \{2,3\}$ for all i .

Source: Bulletin of the Australian Mathematical Society

DOI: 10.1017/s0004972724001394

Authors: GUO WANYAN, MIN TANG

Institution: Anhui Normal University

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,550

OpenAlex ID: W4407384570

FWCI:

Cites: 8

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Related to: 10