Mathematics

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HRT Conjecture Disproven by AI

The HRT conjecture (Heil-Ramanathan-Topiwala) was a 30 year old conjecture in time-frequency analysis asserting that a finite linear combination of time-frequency shifts of an L\\^2...

"If you look at the "informal note" with the proof of the result, one thing is clear: the note is essentially unreadable by humans" (Anthropics informal note stating the proof more concisely - 67% of the zeroes are on the line)

From Alvaro Lozano-Robledo on :https://x.com/mathandcobb/status/2086924556313227277 Anthropics informal note stating the proof more concisely:https://www-cdn.anthropic.com/23455459f8832d06bb175cc0f88d019aed962ef8.pdf Blog post: Learning more about Claude's mathematical capabilities:https://www.anthropic.com/research/riemann-zeta...

Am I good enough for a top pure math PhD if I only made AIME and am going to Rice? My parents are forcing me to study engineering

Im an incoming college freshman, and Im feeling pretty conflicted about what direction to take. My dream is to eventually get a PhD in pure mathematics....

How would you improve general math education?

I feel that the main reason so many people dislike math is math education (starting from elementary school). It focuses too much on memorization, doesn't...