Linear algebra and its applications, 2022-08, Vol.646, p.84-94
2022
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Details
- Autor(en) / Beteiligte
- Titel
- Matrix Waring problem
- Ist Teil von
- Linear algebra and its applications, 2022-08, Vol.646, p.84-94
- Ort / Verlag
- Amsterdam: Elsevier Inc
- Erscheinungsjahr
- 2022
- Quelle
- Access via ScienceDirect (Elsevier)
- Beschreibungen/Notizen
- We prove that for all integers k≥1, there exists a constant Ck depending only on k, such that for all q>Ck, and for n=1,2 every matrix in Mn(Fq) is a sum of two kth powers and for all n≥3 every matrix in Mn(Fq) is a sum of at most three kth powers.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0024-3795eISSN: 1873-1856DOI: 10.1016/j.laa.2022.03.022Titel-ID: cdi_proquest_journals_2695515628
- Format
- –
- Schlagworte
- Finite fields, Lang-Weil estimate, Linear algebra, Waring problem