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Jul 2, 2018 at 7:15 comment added Will Sawin More specifically, Montgomery conjectured that $F(\alpha)$ should be $1$ for $|\alpha|$ between $1$ and $2$ based on the twin primes conjecture, and that it should be close to $1$ on average based on the overall count of zeroes. This led to the hypothesis that it is $1$ for $|\alpha|=1$. This is explained, briefly but straightforwardly, in Montgomery's original paper.
Jul 1, 2018 at 18:07 history edited juan CC BY-SA 4.0
link to "alternative hypothesis" information
Jul 1, 2018 at 10:33 history edited juan CC BY-SA 4.0
I finally get the figure included
Jul 1, 2018 at 9:59 history edited juan CC BY-SA 4.0
correct spelling
Jul 1, 2018 at 9:48 history edited juan CC BY-SA 4.0
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Jul 1, 2018 at 9:45 comment added juan It is true that when I used zeros on the range $n=103 752 000 248 the figure was near the one predicted by Montgomery conjecture.
Jul 1, 2018 at 9:41 history edited juan CC BY-SA 4.0
added 817 characters in body
Jul 1, 2018 at 9:25 history edited juan CC BY-SA 4.0
added 817 characters in body
Jun 30, 2018 at 19:37 history answered juan CC BY-SA 4.0