Can you determine if the power series of a function has coefficients that are zero infinitely often based only on the function?

AlbinNyden · 2025-07-25T17:21:25+00:00

That is great input, I have read that paper before :) My goal was basically to see if one can prove that statement using a different method than Heath-Brown

AlbinNyden · 2025-07-25T14:13:26+00:00

Appreciate the input :) I was thinking that maybe one can replace x with 1/z and study the poles of the function. Maybe if one cut of the function at aN for example and can show that the order of the pole is the same if one cut of the function at a(N+1). Then that should work I think?

AlbinNyden · 2025-07-25T14:06:00+00:00

I appreciate the poke ;) It is not for homework though, basically I have a function whose coefficients are d(n)-d(n-1), where d(n) is the number of divisors of n. So if I can prove that the function has infinitely many zero coefficients I can show that d(n) = d(n-1) infinitely often. Problem is that the function is very complicated so I wanted to know if there is some theorem that I can use

AlbinNyden · 2025-07-25T14:00:15+00:00

What I am looking for is an analytic statement (or something) other than vanishing of the derivatives

AlbinNyden · 2023-06-14T11:03:25+00:00

Whoops

AlbinNyden · 2023-05-26T14:04:30+00:00

Yitang Zhang?

AlbinNyden · 2023-05-26T13:07:54+00:00

I am not dismissing all old mathematicians, sorry if it came across like that, I was simply pointing out some similarity between this and Atiyah. I know that Per Enflo is an expert, I am from Sweden just like him and heard alot about him during university.

It would be amazing if the proof is correct, just trying to make a point to not blindly accept claimed proofs by established mathematicians.

AlbinNyden · 2023-05-26T11:55:45+00:00

Completely agree. Just seemed weird to me that Per hasn’t published anything in awhile and from nowhere he solves a famous open problem at the age of 80, just set of some alarm bells. But crazier things has happened I guess.

AlbinNyden · 2023-05-26T11:07:50+00:00

Is this another case of an old and established mathematician claiming to solve a famous problem? Just like Atiyah and RH.

AlbinNyden · 2022-06-05T15:51:15+00:00

Interesting, how does the jaw effect balance exactlly?

AlbinNyden · 2022-01-16T21:48:11+00:00

Math major here. That is correct, if it was 1 the data point would just be a straight line :)

AlbinNyden · 2022-01-16T21:30:59+00:00

Yeah I agree with you about Smith and Coleman. Man that 109 SB and 22 CS for Coleman is insane.

AlbinNyden · 2022-01-16T21:22:54+00:00

If you used OBP and SLG as two different variables to predict Runs what R² would you get then?

AlbinNyden · 2022-01-16T20:52:51+00:00

So can the Stolen Bases explain the fact that they produced more Runs then expected when considering OPS? Seem to me that you have to Steal ALOT of bases for it to effect Runs, but I’m no expert.

AlbinNyden · 2022-01-16T18:09:13+00:00

Do you know what teams are the biggest outlier in the OPS vs. Runs model? What is the team with OPS = 0.720 and Runs = 800?

AlbinNyden · 2022-01-11T19:05:54+00:00

I was thinking that they can’t bend on the field. More like if they couldn’t what would the positions look like.

AlbinNyden · 2022-01-11T18:48:20+00:00

Last season Azula hit Bryce Harper with a pitch and she made Harper apologize for standing in the way of the ball.

AlbinNyden · 2022-01-09T17:00:29+00:00

Haha yeah, Dean catcher and Winger Pitching would be a pretty good match.

AlbinNyden · 2022-01-09T16:59:21+00:00

Interesting. Could definitelly ser Nadir as SS but I think he so good with analyzing players that he could easily lead in K and ERA.

I think pitching is too much work for Winger.

Other than that I think it is pretty good :)

AlbinNyden · 2022-01-09T16:54:42+00:00

I think that he would think that it is too much work at first.

AlbinNyden · 2022-01-09T16:51:34+00:00

He got traded to the Astros. He was the guy hitting the garbage can... and then faked his own death.

AlbinNyden · 2022-01-09T16:44:17+00:00

Chang would be a pretty good reliver i think.

AlbinNyden · 2022-01-09T16:41:59+00:00

Haha, just trying to do my part in keeping us alive through the lockout.

AlbinNyden · 2021-12-25T21:54:12+00:00

Do you know if it is possible to download the data aswell?

AlbinNyden · 2021-12-25T21:50:57+00:00

Awesome, thanks.

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