Year: 2024
Type: article
Abstract: Let be a positive integer. Let be a henselian local ring with residue field of th level . We give some upper and lower bounds for the th Waring number in terms of and . In large number of cases, we are able to compute . Similar results for the th Waring number of the total ring of fractions of are obtained. We then provide applications. In particular, we compute and for and any prime .
Source: Mathematika
DOI: 10.1112/mtk.12276
Authors: Tomasz Kowalczyk, Piotr Miska
Institution: Jagiellonian University
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
Funder: Narodowe Centrum Nauki
Award: G911734416
OpenAlex ID: W4401893810