Algebraic Independence Results Related to <q, r>-Number Systems

• Autores: Shin-ichiro Okada, Iekata Shiokawa
• Localización: Monatshefte für mathematik, ISSN 0026-9255, Vol. 147, Nº 4, 2006, págs. 319-335
• Idioma: inglés
• DOI: 10.1007/s00605-005-0320-5
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• Resumen

  • We define -linear arithmetical functions attached to the -number systems and give a necessary and sufficient condition for their generating power series to be algebraically independent over . We also deduce algebraic independence of the functions values at a nonzero algebraic number in the circle of convergence.