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- W3119238635 abstract "In this note, we give two small results concerning the correlations of the Selberg sieve weights. We then use these estimates to derive a new (conditional) lower bound on the variance of the primes in short intervals, and also on the so-called “form factor” for the pair correlations of the zeros of the Riemann zeta function. Our bounds ultimately rely on the estimates of Bettin–Chandee for trilinear Kloosterman fractions." @default.
- W3119238635 created "2021-01-18" @default.
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- W3119238635 date "2022-07-13" @default.
- W3119238635 modified "2023-09-27" @default.
- W3119238635 title "Correlations of sieve weights and distributions of zeros" @default.
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- W3119238635 doi "https://doi.org/10.1142/s1793042123500069" @default.
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