Alec Shute

University of Bristol


Local solubility of generalised Fermat equations


Heilbronn Number Theory Seminar


5th February 2025, 4:00 pm – 5:00 pm
Fry Building, 2.04


I will discuss recent joint work with Peter Koymans, Ross Paterson and Tim Santens in which we determine, for every positive integer n, an asymptotic formula for the number of integer triples (a,b,c) of bounded height such that the equation ax^n + by^n + cz^n = 0 is everywhere locally soluble.






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