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math.NT2017★ 3 cited
Lonely runners in function fields
Sam Chow, Luka Rimanic
The lonely runner conjecture, now over fifty years old, concerns the following problem. On a unit length circular track, consider runners starting at the same time and place, e…
math.NT2017★ 2 cited
Szemerédi's theorem in the primes
Luka Rimanic, Julia Wolf
Green and Tao famously proved in 2005 that any subset of the primes of fixed positive density contains arbitrarily long arithmetic progressions. Green had previously shown that in…