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- W1991567107 abstract "We give new upper bounds (for every theta) of the form[GRAPHICS]where {t(n)} is the sequence of distinct zeros of zeta(1/2 + it) in R+ and M-n is the maximum between t(n) and t(n+1), k = 1,2. In particular we show that for small theta we have H-k(theta) << theta(3) (with explicit constants): this result might be viewed as unconditional, positive evidence for part of Montgomery's Pair Correlation Conjecture, relating to the small gaps between zeros." @default.
- W1991567107 created "2016-06-24" @default.
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- W1991567107 date "2003-01-07" @default.
- W1991567107 modified "2023-09-24" @default.
- W1991567107 title "On the extreme values of the Riemann zetafunction between its zeros on the critical line" @default.
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- W1991567107 doi "https://doi.org/10.1515/crll.2003.059" @default.
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