�ber die Funktionalgleichung $$f(x) = d^{m - 1} \sum\limits_{i = 0}^{d - 1} {f(\frac{{x + i}}{d})}$$ in den K�rpern ?p

Autor: Wilfried Herget
Rok vydání: 1978
Předmět:
Zdroj: Manuscripta Mathematica. 23:131-141
ISSN: 1432-1785
0025-2611
DOI: 10.1007/bf01180568
Popis: Functional equations of the type $$f(x) = d^{m - 1} \sum\limits_{i = 0}^{d - 1} {f(\frac{{x + i}}{d})}$$ (1) for functions f: ℤn→ℤn have first been considered in [1] and [2] in the cases m ∈ {0,1} (ℤn=Z/nℤ means the ring of integers modulo n).
Databáze: OpenAIRE
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