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- W3084827646 abstract "We establish lower bounds for all weighted even moments of primes up to $X$ in intervals which are in agreement with a conjecture of Montgomery and Soundararajan. Our bounds hold unconditionally for an unbounded set of values of $X$, and hold for all $X$ under the Riemann Hypothesis. We also deduce new unconditional $Omega$-results for the classical prime counting function." @default.
- W3084827646 created "2020-09-21" @default.
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- W3084827646 date "2020-11-10" @default.
- W3084827646 modified "2023-09-30" @default.
- W3084827646 title "On a conjecture of Montgomery and Soundararajan" @default.
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