Speaker: Samir Siksek (U. Warwick)

In 1851, Carl Jacobi made the experimental observation that all integers are sums of seven non-negative cubes, with precisely 17 exceptions, the largest of which is 454.

Building on previous work by Maillet, Landau, Dickson, Linnik, Watson, Bombieri, RamarĂ©, Elkies and many others, we complete the proof of Jacobi’s observation.

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