This work is devoted to proving that, given an integer x ≥ 2, there are infinitely many perfect powers coprime with x having exactly k ≥ 3 nonzero digits in their base x representation, except for the case x = 2, k = 4, for which a known finiteness result by Corvaja and Zannier holds.
On sparse perfect powers
Moscariello A.
2022-01-01
Abstract
This work is devoted to proving that, given an integer x ≥ 2, there are infinitely many perfect powers coprime with x having exactly k ≥ 3 nonzero digits in their base x representation, except for the case x = 2, k = 4, for which a known finiteness result by Corvaja and Zannier holds.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
3315-On sparse perfect powers.pdf
solo gestori archivio
Tipologia:
Documento in Pre-print
Licenza:
NON PUBBLICO - Accesso privato/ristretto
Dimensione
310.73 kB
Formato
Adobe PDF
|
310.73 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
