Authors establish the Erdős-Graham conjecture for large k and provide GRH-conditional counterexamples for small k using sieves and exponential sums.
Iwaniec.Lectures on the Riemann zeta function, volume 62 ofUniversity Lecture Series
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Binomial coefficients with divisors avoiding an interval
Authors establish the Erdős-Graham conjecture for large k and provide GRH-conditional counterexamples for small k using sieves and exponential sums.