Skoči na glavni sadržaj

Glasnik matematički, Vol. 38 No. 2, 2003.

Izvorni znanstveni članak

Polynomial-exponential equations and linear recurrences

Clemens Fuchs

Puni tekst: engleski pdf 657 Kb

str. 233-252

preuzimanja: 184

citiraj

Sažetak

Let K be an algebraic number field and let (Gn) be a linear recurring sequence defined by

Gn = + P2(n) + ... + Pt(n) ,

where , , ... , are non-zero elements of K and where Pi(x) K[x] for i = 2, ... , t. Furthermore let f(z,x) K[z,x] monic in x. In this paper we want to study the polynomial-exponential Diophantine equation f(Gn,x)=0. We want to use a quantitative version of W. M. Schmidt's Subspace Theorem (due to J.-H. Evertse) to calculate an upper bound for the number of solutions (n,x) under some additional assumptions.

Ključne riječi

Polynomial-exponential equations; linear recurrences; Subspace-Theorem

Hrčak ID:

1317

URI

https://hrcak.srce.hr/1317

Datum izdavanja:

1.12.2003.

Posjeta: 736 *