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Publication
Title
Bounding the Pythagoras number of a field by +1
Author
Abstract
Given a positive integer n, a sufficient condition on a field is given for bounding its Pythagoras number by 2n + 1. The condition is satisfied for n = 1 by function fields of curves over iterated formal power series fields over R, as well as by finite field extensions of R( (t0, t1) ). In both cases, one retrieves the upper bound 3 on the Pythagoras number. The new method presented here might help to establish more generally 2n + 1 as an upper bound for the Pythagoras number of function fields of curves over R( (t1, . . . , tn) ) and for finite field extensions of R( (t0, . . . , tn) ).(c) 2023 Elsevier B.V. All rights reserved.
Language
English
Source (journal)
Journal of pure and applied algebra. - Amsterdam
Publication
Amsterdam : 2024
ISSN
0022-4049
DOI
10.1016/J.JPAA.2023.107573
Volume/pages
228 :6 (2024) , p. 1-17
Article Reference
107573
ISI
001134411200001
Full text (Publisher's DOI)
Full text (open access)
Full text (publisher's version - intranet only)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identifier c:irua:202711
Creation 01.02.2024
Last edited 04.11.2024
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