Waring's Problem in Finite Rings
| Autor: | Yeşim Demiroğlu Karabulut |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Pure mathematics
Algebra and Number Theory Mathematics - Number Theory Mathematics::Commutative Algebra Jacobson radical Mathematics - Rings and Algebras Mathematical proof 11P05 (Primary) 05C25 16K99 (Secondary) Waring's problem Matrix (mathematics) Nilpotent Finite field Rings and Algebras (math.RA) FOS: Mathematics Mathematics - Combinatorics Number Theory (math.NT) Combinatorics (math.CO) Commutative algebra Mathematics |
| DOI: | 10.48550/arxiv.1709.04428 |
| Popis: | In this paper we obtain sharp results for Waring's problem over general finite rings, by using a combination of Artin-Wedderburn theory and Hensel's lemma and building on new proofs of analogous results over finite fields that are achieved using spectral graph theory. We also prove an analogue of S\'ark\"ozy's theorem for finite fields. Comment: 34 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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