We study the diophantine equation $f(u(n),y)=0$, where $f(x,y)$ is a polynomial with integral coefficients and $u:N\to Z$ is a sequence expressed as a power sum with integral bases. We completely classify the cases with infinitely many solutions. We also solve the divisibility problem of deciding when can the values of such a power sum divide infinitely often the values of another power sum.
Diophantine equations with power sums and Universal Hilbert Sets
CORVAJA, Pietro;
1998-01-01
Abstract
We study the diophantine equation $f(u(n),y)=0$, where $f(x,y)$ is a polynomial with integral coefficients and $u:N\to Z$ is a sequence expressed as a power sum with integral bases. We completely classify the cases with infinitely many solutions. We also solve the divisibility problem of deciding when can the values of such a power sum divide infinitely often the values of another power sum.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
