Arithmetic Properties of Polyadic Integers

Arithmetic Properties of Polyadic Integers

Arithmetic properties of series of the form with are studied. The concept of infinite algebraic independence of polyadic numbers is discussed. A theorem is proved concerning the infinite algebraic independence of polyadic numbers of the class that are connected by a system of linear differential equ...

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Veröffentlicht in:Doklady. Mathematics 2022-12, Vol.106 (Suppl 2), p.S142-S146
1. Verfasser: Chirskii, V. G.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Arithmetic
Differential equations
Mathematics
Mathematics and Statistics
Series (mathematics)
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Zusammenfassung:Arithmetic properties of series of the form with are studied. The concept of infinite algebraic independence of polyadic numbers is discussed. A theorem is proved concerning the infinite algebraic independence of polyadic numbers of the class that are connected by a system of linear differential equations of a certain type.
ISSN:1064-5624
1531-8362
DOI:10.1134/S1064562422700326