Sums of even ascending powers
Freiman and Scourfield proved that any large enough integer can be written as a sum of a certain number of ascending even powers. We use the circle method to provide the first explicit bound on this number, and show that any large enough integer can be written as a sum of 133 ascending even powers.
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | Freiman and Scourfield proved that any large enough integer can be written as
a sum of a certain number of ascending even powers. We use the circle method to
provide the first explicit bound on this number, and show that any large enough
integer can be written as a sum of 133 ascending even powers. |
|---|---|
| DOI: | 10.48550/arxiv.2001.02429 |