Year: 2026
Type: article
Abstract: A subset [Formula: see text] is called s-almost square universal if every sufficiently large positive integer can be written as a sum of at most s squares of integers from [Formula: see text]. In this paper, we study the minimal number [Formula: see text] with this property, where [Formula: see text] denotes the residue class of d modulo m, with [Formula: see text] and [Formula: see text]. We further prove that [Formula: see text] is s-square universal for some [Formula: see text] if and only if [Formula: see text], and determine the minimal such number [Formula: see text] in these cases.
Author: Daejun Kim
Institution: Korea University
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Korea University
OpenAlex ID: W4416243414
FWCI:
Cites:
Cited by:
Related to: