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math.NT2024
On Manin's conjecture for Châtelet surfaces
Katharine Woo
We resolve Manin's conjecture for all Châtelet surfaces over .
math.LO2024
Integer-valued o-minimal functions
Neer Bhardwaj, Raymond McCulloch, Nandagopal Ramachandran +1
We study -definable functions that take integer values at all sufficiently large positive integers. If $|f(x)|= O\big(2^…