Trying to get Kneser from beta; the modular argument
#3
It's important to remember; the correct manner of computing \(\tau\) is a small little trick:

\(
\beta(s) = \exp^{\circ n}(\beta(s-n) + \tau^{n}(s-n))\\
\)

This is the exact implicit manner that we'd be required to do to get Kneser. It's largely slow and, not very efficient. But mathematically is what we need to remember. Where we'll start to see \(\tau^{n}(s-n) \approx L\) and \(\beta(s-n) \approx 0\).
Reply


Messages In This Thread
RE: Trying to get Kneser from beta; the modular argument - by JmsNxn - 03/29/2022, 06:34 AM

Possibly Related Threads…
Thread Author Replies Views Last Post
  The ultimate beta method JmsNxn 8 11,355 04/15/2023, 02:36 AM
Last Post: JmsNxn
  Artificial Neural Networks vs. Kneser Ember Edison 5 7,142 02/22/2023, 08:52 PM
Last Post: tommy1729
  Is this the beta method? bo198214 3 6,343 08/18/2022, 04:18 AM
Last Post: JmsNxn
  Describing the beta method using fractional linear transformations JmsNxn 5 9,061 08/07/2022, 12:15 PM
Last Post: JmsNxn
Question Continuously Iterating Modular Arithmetic Catullus 17 18,322 07/22/2022, 02:16 AM
Last Post: MphLee
  Complex to real tetration via Kneser Daniel 3 5,947 07/02/2022, 02:22 AM
Last Post: Daniel
  [Video] From modular forms to elliptic curves - The Langlands Program MphLee 1 3,483 06/19/2022, 08:40 PM
Last Post: JmsNxn
  The beta method thesis JmsNxn 9 12,784 04/20/2022, 05:32 AM
Last Post: Ember Edison
  tommy beta method tommy1729 0 2,936 12/09/2021, 11:48 PM
Last Post: tommy1729
  Calculating the residues of \(\beta\); Laurent series; and Mittag-Leffler JmsNxn 0 3,843 10/29/2021, 11:44 PM
Last Post: JmsNxn



Users browsing this thread: 1 Guest(s)