Geodesic
Algebraic independence of certain almost polyadic series
Čebyševskij sbornik, Tome 16 (2015) no. 3, pp. 339-354

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We study the arithmetic properties of almost polyadic numbers $$\sum_{n=1}^\infty a_{i}\left(a_{i}+b_{i}\right)\ldots\left(a_{i}+\left(n-1\right)b_{i}\right),i=1,...,m,$$ where the numbers $a_{i},b_{i}\in\mathbb Z$, $\left(a_{i},b_{i}\right)=1$. Bibliography: 15 titles.
Keywords: almost polyadic numbers. 
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     author = {V. Yu. Matveev},
     title = {Algebraic independence of certain almost polyadic series},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {339--354},
     publisher = {mathdoc},
     volume = {16},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2015_16_3_a16/}
}
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V. Yu. Matveev. Algebraic independence of certain almost polyadic series. Čebyševskij sbornik, Tome 16 (2015) no. 3, pp. 339-354. http://geodesic.mathdoc.fr/item/CHEB_2015_16_3_a16/