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Search: id:A117537
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| A117537 |
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These are the locations of the midpoints of consecutive zeros of Riemann zeta function on the critical line with increasingly large normalized spacing; equivalently of consecutive real zeros of the Z function. If t and s are consecutive zeros of the Z function, we define their normalized spacing as (s-t)/(2 pi ln((s+t)/(4 pi))). The sequence above is found by taking r = ln(2)(s+t)/(4 pi) and rounding to the nearest integer. These values r have a marked tendency to be close to integer values and all of the terms of the above sequence are actually contained in the intervals [s, t]*ln(2)/(2 pi). |
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| 2, 3, 5, 7, 12, 19, 31, 46, 53, 72, 270, 311, 954, 1178, 1308, 1395, 1578, 3395, 4190
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