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Conference in memory of A. A. Karatsuba on number theory and applications, 2015
January 30, 2015 12:00, Moscow, Steklov Mathematical Institute of the Russian Academy of Sciences
 


Polyadic numbers and its applications

V. G. Chirskiiab

a M. V. Lomonosov Moscow State University
b Moscow State Pedagogical University
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V. G. Chirskii


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Abstract: The talk is devoted to the integral polyadic numbers represented canonically by the series of the type
$$ \sum_{n=1}^{+\infty}a_n n!,\quad a_n=0,1,…,n-1, $$
that converge in all fields of $p$ -adic numbers. We suggest some classification of its arithmetical properties and point out to its connection with a notion of “global relation” introduced by E. Bombieri. In the talk, we consider some applications and formulate some new problems.

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