Lev Glebsky. Cycles in Repeated Exponentiation Modulo p^n


Natural Sciences / Mathematics / Number theory

Submitted on: Jul 12, 2012, 11:56:38

Description: Given a number r, we consider the dynamical system generated by repeated exponentiations modulo r, that is, by the map u -> fg(u), where fg(u) equiv g^u (mod r) and 0<= fg(u) <= r-1. The number of cycles of the defined above dynamical system is considered for r=p^n.

The abstract of this article has been published in the "Intellectual Archive Bulletin" , July 2012, ISSN 1929-1329.

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Lev_Glebsky__Cycles_in_Repeated_Exponentiation_Modulo.pdf



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