Globally algebraically independent polyadic numbers
https://doi.org/10.22405/2226-8383-2026-27-2-203-211
Abstract
Besides the standard canonical representation of a polyadic number
one can consider series of some other type, representing polyadic numbers. Let 𝑝𝑛 be the 𝑛−th prime number. Let
Then any polyadic number 𝛼 can be represented as
This representation allows to obtain examples of globally algebraically independent polyadic numbers simply enough.
About the Author
Vladimir Grigor’evich Chirskii
Lomonosov Moscow State University; Ranepa
Russian Federation
Russian Federation
doctor of physical and mathematical sciences, professor
References
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Review
For citations:
Chirskii V.G. Globally algebraically independent polyadic numbers. Chebyshevskii Sbornik. 2026;27(2):203-211. (In Russ.) https://doi.org/10.22405/2226-8383-2026-27-2-203-211
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