PreprintCC0arXiv
Counterexamples to the ordinary Fried conjecture near hyperbolic metrics
Abstract
We give an LLM-assisted construction of counterexamples to the ordinary Fried conjecture, with real analytic metrics arbitrarily close to a hyperbolic metric in dimension three. For acyclic unitary line characters tending to the trivial character, the modulus of the Ruelle zeta function at zero divided by analytic torsion squared tends to zero.
Related
- The Fried Conjecture for Morse-Smale Flows: A Survey on Ray-Singer and Milnor Metrics
- The Tate Conjecture for Ordinary Calabi-Yau Threefolds
- Kolyvagin's conjecture at non-ordinary primes
- Counterexamples to the Monotone Completeness Conjecture
- Counterexamples to the inhomogeneous Duffin-Schaeffer Conjecture
BibTeX
@misc{becker2026counterexamples,
title = {{Counterexamples to the ordinary Fried conjecture near hyperbolic metrics}},
author = {Simon Becker and Benjamin Lawton},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.22281},
eprint = {2610.22281},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.22281},
note = {CC0},
}
RIS
TY - UNPB
TI - Counterexamples to the ordinary Fried conjecture near hyperbolic metrics
AU - Simon Becker
AU - Benjamin Lawton
PY - 2026
DA - 2026/10/15
PB - arXiv
DO - 10.48550/arxiv.2610.22281
UR - https://arxiv.org/abs/2610.22281
AB - We give an LLM-assisted construction of counterexamples to the ordinary Fried conjecture, with real analytic metrics arbitrarily close to a hyperbolic metric in dimension three. For acyclic unitary line characters tending to the trivial character, the modulus of the Ruelle zeta function at zero divided by analytic torsion squared tends to zero.
ER -