The Riemann hypothesis is true up to 3·1012
نویسندگان
چکیده
We verify numerically, in a rigorous way using interval arithmetic, that the Riemann hypothesis is true up to height 3 · 10 12 . That is, all zeroes β + i γ of zeta-function with 0 < ⩽ have = 1 / 2 Moreover, these are simple.
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ژورنال
عنوان ژورنال: Bulletin of The London Mathematical Society
سال: 2021
ISSN: ['1469-2120', '0024-6093']
DOI: https://doi.org/10.1112/blms.12460