Claude Advances Zeta-Zero Research, Not Riemann Proof
Anthropic’s Claude has produced a notable new result about zeta-function zeros, but the Riemann hypothesis itself remains unproved and the new method is not expected to settle it.
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24 published articles
Research is the systematic pursuit of knowledge through observation, evidence, analysis and critical inquiry. It spans basic and applied work across science, medicine, technology, the humanities and social sciences. Sound research uses transparent methods, tests assumptions and invites scrutiny so findings can be refined, replicated or challenged.
Anthropic’s Claude has produced a notable new result about zeta-function zeros, but the Riemann hypothesis itself remains unproved and the new method is not expected to settle it.
The retraction of a widely shared excess-mortality paper highlights the difference between documenting an alarming population trend and proving what caused it.
A newly disclosed weakness in some AI APIs showed that supposedly hidden reasoning traces could be recovered, exposing a difficult trade-off between model secrecy, security and transparency.
A new gene-network modelling study expands the map of schizophrenia-associated genes, but its main value lies in prioritising biological questions rather than delivering a diagnostic test or immediate treatment.
A major UK-based analysis finds that the subjective experience of loneliness may have broader health consequences than the number of social contacts alone, while underscoring that neither measure tells the whole causal story.
Google DeepMind’s decision to disperse the AlphaFold team reflects a shift from a landmark single-purpose project towards broader AI science, product development and drug discovery work.
Terence Tao’s view of AI in mathematics is less a prediction of human replacement than a call to redesign research, education and professional norms around rapidly improving tools.
New work by Aaron Landesman and Ishan Levy establishes long-sought statistical results for quadratic function fields, advancing—but not fully resolving—the Cohen–Lenstra programme inspired by Gauss’s study of quadratic forms.
OpenAI has published a collection of ten claimed advances in mathematics and theoretical computer science, but their long-term importance will depend on independent expert scrutiny as much as on the model’s apparent problem-solving ability.
China’s suspension of an experimental neck microsurgery for Alzheimer’s disease highlights both the urgency of dementia care and the risks of adopting a plausible biological idea before it has been properly tested.
Two independent research efforts used the same AI system to reach closely aligned proofs for a longstanding quantum cryptography problem, highlighting both a technical advance and a changing model of scientific discovery.
Recent demonstrations in protein chemistry and quantum materials suggest that quantum processors are beginning to contribute to scientific workflows, but as specialised partners to classical computing rather than standalone replacements.