Claims almost-everywhere convergence of bilinear ergodic averages along arbitrary polynomials and along primes, but the proof omits the key rotated polynomial oscillation estimates.
Bourgain, On the maximal ergodic theorem for certain subset s of the integers, Israel Journal of Mathematics, Vol
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Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes
Claims almost-everywhere convergence of bilinear ergodic averages along arbitrary polynomials and along primes, but the proof omits the key rotated polynomial oscillation estimates.