Claims an unconditional proof that π(x + x^λ) − π(x) ∼ x^λ / log(x) holds for all 0 < λ < 1.
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Real exponential sums over primes and prime gaps
Claims an unconditional proof that π(x + x^λ) − π(x) ∼ x^λ / log(x) holds for all 0 < λ < 1.