Artigo Acesso aberto Revisado por pares

On arithmetic properties of coefficients of rational functions

1965; Mathematical Sciences Publishers; Volume: 15; Issue: 1 Linguagem: Inglês

10.2140/pjm.1965.15.55

ISSN

1945-5844

Autores

David G. Cantor,

Tópico(s)

Advanced Mathematical Identities

Resumo

The purpose of this note is to prove the following: generalization of a result of Polya: THEOREM.Let {a n } be a sequence of algebraic integers, and / a nonzero polynomial with complex coefficients.If Σn=of(n)a n z n is a rational function, then so is Σn=oCt n z n .Polya [3] has proved that if Σ* =o na n z n is a rational function, then so is Σ?=o tt n z%

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