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 the " average restart " of a number. tommy1729 Ultimate Fellow Posts: 1,386 Threads: 339 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 »

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