• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 the " average restart " of a number. tommy1729 Ultimate Fellow Posts: 1,616 Threads: 364 Joined: Feb 2009 03/26/2014, 01:02 AM Let z be a nonreal complex number. z=z1 z2=exp(z1) z3=exp(z2) etc Define f(x) as f = 1 if x is within the unit circle on the complex plane ( |x| < 1 ) and 0 otherwise. Let ar_b(z) denote the " average restart " of z. "ar_b" is defined by a limit of an integer n going to +oo. ar_b(z) = lim_n [f(z1) + f(z2) + f(z3) + ... + f(zn)]/n^b = constant(z). (b > 0) What is known about this ?? regards tommy1729 « Next Oldest | Next Newest »

 Possibly Related Threads… Thread Author Replies Views Last Post Natural Properties of the Tetra-Euler Number Catullus 6 212 07/01/2022, 08:16 AM Last Post: Catullus Dynamical Systems and Number Theory Daniel 4 2,051 06/01/2021, 11:34 PM Last Post: JmsNxn Cellular auto : rule 30 number ? tommy1729 0 2,892 08/03/2016, 08:31 PM Last Post: tommy1729 [number theory] sieving with a_i mod p_i tommy1729 7 14,872 09/12/2014, 07:28 AM Last Post: tommy1729 [Number Theory] pi(X,x,x+2)+pi(X,x,x+4) tommy1729 1 4,667 04/11/2014, 10:33 PM Last Post: tommy1729 A conjecture about number theory and tetration tommy1729 0 3,601 10/23/2013, 09:28 PM Last Post: tommy1729 (number theory) How tommy1729 does it. tommy1729 0 3,680 08/12/2013, 09:13 PM Last Post: tommy1729 number theory EPNT : extended prime number theorem tommy1729 0 3,518 08/23/2012, 02:44 PM Last Post: tommy1729 (Ext) Occurences ofTetrationals in other number-theoretical articles Gottfried 1 5,676 02/19/2012, 07:37 PM Last Post: tommy1729 ( number theory ) tommy1729 5 14,528 05/15/2011, 06:06 PM Last Post: tommy1729

Users browsing this thread: 1 Guest(s)