On: A breakthrough towards the Riemann hypothesis

[ganzuul]

This improves modeling of long-tail distributions? How far off am I here?

[gus_massa → ganzuul]

If the complex number is x+iy:

They had a good bound of the long-tail distribution when x>=3/5=0.6. Now someone extended that result to x>=13/25=0.52. (The long term objective is to prove a stronger version for x>1/2=.5.)

[konstantinua00 → gus_massa]

it's different

affected distribution is always x>3/4, both before and after

what's measured is upper bound on number of zeroes <y, relative to y

it was <y^(3/5), now it's <y^(13/25)

it says nothing about absence of zeroes, but the density result already affects prime distributions

[gus_massa → konstantinua00]

My bad. Thanks for the correction.

[lupire → ganzuul]

Can you be more specific? This is a result about a specific approximately known distribution.

[ganzuul → lupire]

Excuse me I meant the related heavy-tailed distributions, which show up in dragon king theory.

I'm wondering if this result indicates we have a new method to eke out important signals from noise that otherwise get smoothed out.