Waring’s problem with digital restrictions in q[X]
We present a generalization of a result due to Thuswaldner and Tichy to the ring of polynomials over a finite fields. In particular, we want to show that every polynomial of sufficiently large degree can be represented as sum of k th powers, where the bases evaluated on additive functions meet certa...
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| Veröffentlicht in: | Mathematica Slovaca 2010, Vol.60 (6), p.801-810 |
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| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | We present a generalization of a result due to Thuswaldner and Tichy to the ring of polynomials over a finite fields. In particular, we want to show that every polynomial of sufficiently large degree can be represented as sum of
k
th powers, where the bases evaluated on additive functions meet certain congruence restrictions. |
|---|---|
| ISSN: | 0139-9918 1337-2211 |
| DOI: | 10.2478/s12175-010-0048-0 |