Zeta iterations
#10
(02/24/2013, 09:13 PM)tommy1729 Wrote: How many fixpoints does zeta have actually ?
Because the bernoulli-numbers grow faster than their index, they have alternating signs and finally, because the bernoulli-numbers are interpolated by the zeta at negative arguments we have, that the negative part of the x=y-diagonal is crossed infinitely many times. So we have (at least countably) infinitely many real fixpoints.


Gottfried
Gottfried Helms, Kassel
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Messages In This Thread
Zeta iterations - by Balarka Sen - 02/24/2013, 08:00 AM
RE: Zeta iterations - by Gottfried - 02/24/2013, 11:10 AM
RE: Zeta iterations - by Balarka Sen - 02/24/2013, 11:21 AM
RE: Zeta iterations - by Gottfried - 02/24/2013, 11:30 AM
RE: Zeta iterations - by Balarka Sen - 02/24/2013, 11:36 AM
RE: Zeta iterations - by Gottfried - 02/24/2013, 12:28 PM
RE: Zeta iterations - by tommy1729 - 02/24/2013, 07:54 PM
RE: Zeta iterations - by bo198214 - 02/24/2013, 08:36 PM
RE: Zeta iterations - by tommy1729 - 02/24/2013, 09:13 PM
RE: Zeta iterations - by Gottfried - 02/25/2013, 12:17 AM
RE: Zeta iterations - by Balarka Sen - 02/25/2013, 10:48 AM
RE: Zeta iterations - by Gottfried - 02/26/2013, 09:49 AM

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