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AI systems have recently contributed to new results across mathematics, several of them in number theory. This talk is about the everyday version: how a working mathematician can use AI for a research project. I will go back to a paper from my PhD with Chris Hughes, about the moments of the derivative of the Riemann zeta function at its zeros, and ask how I would have worked on it had AI been available then. The emphasis is on habits that mathematicians already have, and how they apply to mathematical research in the age of AI.
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Cathy Swaenepoel