[MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n))

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[MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n))

JmsNxn Offline

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#2

03/31/2023, 03:14 AM

Hey, Caleb

Just came here to say your statement that this may be "idle thoughts" is entirely correct; and that's its strongest point. I PM'd you the rough draft of the paper I'm working on. And early on I talk about residues at \(\infty\) and how they relate to residues at \(0\). The entire thesis of "Lambert's reflection formula" is that we can use the residues at \(\infty\) to write the residues at \(0\). So, sure, it's idle thoughts; but you're on to something! You are definitely on to something. I'm going to reserve comments on the specific problem in this post; as I'm still stuck on a couple things with more manufactured cases. But "idle thoughts" are what makes math math Wink

Wink

. I'm not sure how to answer your MO question; but I imagine it'll follow similar rules to what I've constructed so far.

Sincere regards, James

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Messages In This Thread

[MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n)) - by Caleb - 03/30/2023, 04:51 AM

RE: [MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n)) - by JmsNxn - 03/31/2023, 03:14 AM

RE: [MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n)) - by tommy1729 - 03/31/2023, 11:39 AM

RE: [MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n)) - by JmsNxn - 04/02/2023, 03:29 AM

RE: [MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n)) - by Caleb - 04/02/2023, 03:43 AM

RE: [MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n)) - by JmsNxn - 04/02/2023, 05:02 AM

RE: [MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n)) - by Caleb - 04/02/2023, 05:21 AM

RE: [MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n)) - by JmsNxn - 04/02/2023, 05:31 AM

RE: [MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n)) - by Caleb - 04/02/2023, 05:38 AM

RE: [MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n)) - by JmsNxn - 04/04/2023, 12:23 PM

RE: [MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n)) - by tommy1729 - 04/04/2023, 08:23 PM

RE: [MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n)) - by Caleb - 04/04/2023, 09:28 PM

RE: [MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n)) - by tommy1729 - 04/04/2023, 10:34 PM

RE: [MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n)) - by Caleb - 04/05/2023, 01:57 AM

RE: [MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n)) - by tommy1729 - 04/03/2023, 07:53 PM

RE: [MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n)) - by Caleb - 04/05/2023, 04:56 AM

RE: [MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n)) - by JmsNxn - 04/06/2023, 04:59 PM

RE: [MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n)) - by JmsNxn - 04/06/2023, 05:30 PM

RE: [MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n)) - by Caleb - 04/06/2023, 06:15 PM

RE: [MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n)) - by JmsNxn - 04/06/2023, 07:54 PM

RE: [MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n)) - by Caleb - 04/07/2023, 05:38 AM

RE: [MO] Residue at ∞ and ∑(-1)^n x^(2^(2^n)) - by JmsNxn - 04/08/2023, 09:07 PM

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