Unconditional level of distribution x^(5/8-o(1)) is proved for primes with triply-well-factorable weights and for smooth numbers, eliminating Selberg's eigenvalue conjecture from previous conditional results.
On the large sieve.Mathematika, 12:201–225, 1965
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On the exponents of distribution of primes and smooth numbers
Unconditional level of distribution x^(5/8-o(1)) is proved for primes with triply-well-factorable weights and for smooth numbers, eliminating Selberg's eigenvalue conjecture from previous conditional results.