The taper and the gain: twelve bands of the ladder
Year: 2026
Type: preprint
Abstract: The runner walks from one zero to the next. To do it, it listens to a bank of tones built from the primes, and the sum of those tones is the wobble that says how far the next zero has drifted from where the smooth count puts it. Three things about that listening were measured here, on twelve stretches of the ladder running from height seventy-seven thousand up to three thousand three hundred million. Every stretch is six thousand consecutive zeros the runner found for itself. This record holds one paper on its own and is refreshed every couple of months. The complete deposit, 10.5281/zenodo.21788037, holds every paper with its code and data and is updated first; for the newest version of this paper, go there.
Author: Ibbotson, James Norman
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225043847