Year: 2026
Type: preprint
Abstract: Assuming the Riemann hypothesis, we prove that the lower limit of the normalised gaps between consecutive zeros of the Riemann zeta function is at most $1/2$. Our methods utilise a more efficient method for detecting gaps with short Dirichlet polynomials. Specifically, we apply resonance to a quotient of shifted zeta functions, rather than to the number of zeros in a short interval, using a Möbius resonator adapted to the symmetry between the shifts.
Source: arXiv (Cornell University)
Authors: Bondarenko, Andriy, Heap, Winston
Institution: Norwegian University of Science and Technology
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223004078