Hosszú's equation over the Gaussian and Eisenstein integers

• Autores: Gabriella Hajdu, Lajos Hajdu
• Localización: Aequationes mathematicae, ISSN 0001-9054, Vol. 75, Nº. 1-2, 2008, págs. 65-74
• Idioma: inglés
• DOI: 10.1007/s00010-007-2883-9
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• Resumen

  • We consider Hosszú�s famous functional equation f(x) + f(y) = f(xy) + f(x + y - xy). We completely describe the set of functions satisfying this equation, where R is the set of the Gaussian or Eisenstein integers and is an arbitrary abelian group.