02/06/2023, 11:34 PM
The link Caleb gave ( https://mathoverflow.net/questions/43869...tical-cont ) me reminded me of this
https://math.stackexchange.com/questions...0-ns-n-s-1
which I posted here too.
The other link he gave :
https://mathoverflow.net/questions/19866...871#198871
There is alot to say about such functions , and I and others have so in the past somewhere.
But the main thing is my method is designed for analytic continuation.
The problem he gave was at a point that was not even continu.
So I see that as a somewhat violation of conditions although I did not clearly stated the conditions.
Without the alternating part that problem probably goes away , even if we hit a natural boundary ...
***
By no means is my method considered perfect and I even doubt " perfect summability " exists since we always get undesired properties , divergeance anyway or contradiction results it seems.
It just felt like a nice idea.
***
About this
The other link he gave :
https://mathoverflow.net/questions/19866...871#198871
Giving lim sup or lim inf can be a very tricky thing.
I have at least 2 such questions/conjectures illustrating how tricky it is , posted by my friend mick at mathstackexchange and/or mathoverflow
https://mathoverflow.net/questions/34906...n-13-a-n-2
https://mathoverflow.net/questions/32224...f-m-frac54
https://math.stackexchange.com/questions...-g-frac916
https://math.stackexchange.com/questions...f-m-frac54
and many more and I did not even mention the complicated functions.
Btw the continuum sum has been discussed here.
regards
tommy1729
https://math.stackexchange.com/questions...0-ns-n-s-1
which I posted here too.
The other link he gave :
https://mathoverflow.net/questions/19866...871#198871
There is alot to say about such functions , and I and others have so in the past somewhere.
But the main thing is my method is designed for analytic continuation.
The problem he gave was at a point that was not even continu.
So I see that as a somewhat violation of conditions although I did not clearly stated the conditions.
Without the alternating part that problem probably goes away , even if we hit a natural boundary ...
***
By no means is my method considered perfect and I even doubt " perfect summability " exists since we always get undesired properties , divergeance anyway or contradiction results it seems.
It just felt like a nice idea.
***
About this
The other link he gave :
https://mathoverflow.net/questions/19866...871#198871
Giving lim sup or lim inf can be a very tricky thing.
I have at least 2 such questions/conjectures illustrating how tricky it is , posted by my friend mick at mathstackexchange and/or mathoverflow
https://mathoverflow.net/questions/34906...n-13-a-n-2
https://mathoverflow.net/questions/32224...f-m-frac54
https://math.stackexchange.com/questions...-g-frac916
https://math.stackexchange.com/questions...f-m-frac54
and many more and I did not even mention the complicated functions.
Btw the continuum sum has been discussed here.
regards
tommy1729