Numbers like pi, e and phi often turn up in unexpected places in science and mathematics. Pascal's triangle and the Fibonacci sequence also seem inexplicably widespread in nature. Then there's the ...

IntroductionSummaryAnyone studying modern mathematics will inevitably encounter this name.Cauchy sequence, Cauchy's Mean ...

Claude AI has recently achieved a remarkable milestone in mathematical research, as highlighted by Two Minute Papers. After 650 attempts, the AI surpassed a long-standing human record by improving a ...

On a recent Sunday night, an employee at Anthropic was out for a jog in San Francisco, opened the Claude app on his phone and instructed the outrageously powerful AI model in his pocket to solve the ...

The big picture: Prime numbers do not follow a regular pattern, but mathematicians can measure how closely their distribution follows a predictable average. The Riemann zeta function, an infinite ...

An unreleased research version of Claude spent 36 hours autonomously coordinating roughly 60 AI subagents — generating 650 failed ideas before landing on a cross-domain insight that two existing ...

Let’s start here: math’s most famous problem is no closer to being solved than it was a week ago. Neither humans nor artificial intelligence have made progress on the Riemann hypothesis. But AI did ...

La hipótesis de Riemann lleva sin resolverse desde 1859, y de momento ni las mejores IAs del planeta pueden con ella. Anthropic acaba de intentarlo con un modelo experimental, y aunque el proyecto ha ...

For more than 150 years, the Riemann hypothesis has stood as one of the major unsolved problems in mathematics, a long-running mystery about the distribution of prime numbers. There is currently a $1 ...

A new study in Nature Communications has established a link between the Riemann Hypothesis and dynamical phase transitions in engineered quantum systems, demonstrating the effect on a quantum ...

Non-Hermiticity naturally arises in physical systems that exchange energy with their environment. The presence of non-Hermiticity leads to many topological physics phenomena and device applications.

THE ancient Greeks determined various areas and volumes by a method known as that of exhaustion; but they had no integral calculus properly so called, any more, than (pace Prof. Burnet) they had a ...