Waring's problem with restricted digits.

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• Ben Green (Oxford)
• Thursday 29 February 2024, 14:30-15:30
• MR12.

If you have a question about this talk, please contact HoD Secretary, DPMMS.

A famous theorem of Hilbert (answering a question of Waring) is that for every natural number k there is some s = s(k) such that all sufficiently large integers can be written as x_1^{k ... x_s}k, with the x_i non-negative integers. I will discuss a proof of the fact that one could, if desired, additionally insist that (for example) each x_i has only the digits 2 and 7 when written in base 10. The talk should hopefully be accessible to those without any background in analytic number theory.

This talk is part of the Combinatorics Seminar series.

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