The infinitude of square-free palindromes
MSI Colloquium, where the school comes together for afternoon tea before one speaker gives an accessible talk on their subject
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Abstract:
Palindromes; numbers which are the same when written forwards and backwards, have been studied since antiquity. Prior to the 21st Century, palindromes were only studied as part of recreational and elementary number theory. However, in recent years, studying their multiplicative structure using deep analytic methods has been a hot topic. In this talk, I will discuss recent work with Bryce Kerr which proves the existence of infinitely many square-free palindromes in a fixed base b>=2. This resolves an open problem of Igor Shparlinski, and approximates the much harder problem of proving the existence of infinitely many palindromic primes.
Location
Rm 1.33 Hanna Neumann Building #145
Upcoming events in this series
MSI Colloquium, where the school comes together for afternoon tea before one speaker gives an accessible talk on their subject
MSI Colloquium, where the school comes together for afternoon tea before one speaker gives an accessible talk on their subject