On arithmetic properties of coefficients of rational functions
1965; Mathematical Sciences Publishers; Volume: 15; Issue: 1 Linguagem: Inglês
10.2140/pjm.1965.15.55
ISSN1945-5844
Autores Tópico(s)Advanced Mathematical Identities
ResumoThe 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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