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math.NT2012★ 7 cited
New bounds for Szemeredi's theorem, Ia: Progressions of length 4 in finite field geometries revisited
Ben Green, Terence Tao
Let p > 4 be a prime. We show that the largest subset of F_p^n with no 4-term arithmetic progressions has cardinality << N(log N)^{-c}, where c = 2^{-22} and N := p^n. A result of…
math.NT2012★ 4 cited
Every odd number greater than 1 is the sum of at most five primes
Terence Tao
We prove that every odd number greater than 1 can be expressed as the sum of at most five primes, improving the result of Ramaré that every even natural number can be expressed…