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 Generalized Wiener Ikehara for exp[1/2](n) instead of n ? tommy1729 Ultimate Fellow Posts: 1,471 Threads: 352 Joined: Feb 2009 12/17/2012, 05:01 PM (This post was last modified: 12/17/2012, 05:01 PM by tommy1729.) Is there a Generalized Wiener Ikehara theorem for exp[1/2](n) instead of n ? While considering Dirichlet series I wonder what would happen if we take a(0) + a(1)/exp[1/2](1)^s + a(2)/exp[1/2](2)^s + ... + a(n)/exp[1/2](n)^s instead of a(0) + a(1)/1^s + a(2)/2^s + ... a(n)/n^s. Since exp^[1/2](n) grows faster than any polynomial P(n) we cannot apply the normal Wiener Ikehara theorem in most cases. Im hoping to 'bridge' analytic number theory and tetration in this way ... regards tommy1729 « Next Oldest | Next Newest »

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