Video library: V. G. Chirskii, Polyadic numbers and its applications

VIDEO LIBRARY


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. Chirskii^ab ^a M. V. Lomonosov Moscow State University ^b Moscow State Pedagogical University
Abstract: The talk is devoted to the integral polyadic numbers represented canonically by the series of the type $$ \sum_{n=1}^{+\infty}a_n n!,\quad a_n=0,1,\dots,n-1, $$ 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.