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Wednesday, November 08, 2017

Much work to a simple explanation

Figuring out a problem that entered into number theory in the late 1800's was a daunting task. While clues came early, like with a dead math journal, was just too astonishing by much, where over a decade to ponder bears fruit with my latest:

Easily explaining a historical miss

And it is unfortunate became so much a single person's diligence, as still thankful for those two anonymous peer reviewers who approved my paper over a decade ago, and the original decision to publish, despite what happened later. Where also there is that math grad student example where at least he did confirm my research for himself, and told me that but then, in my opinion, bowed to the enormity of the social pressure.

It is stunning that a relatively easily explained miss in trying to establish foundations of mathematics as a solid discipline can be so easily explained and yet so hard to handle, where that is work in progress.

My continuing discovery has helped, both by drawing interest and helping my confidence in pursuing the story. Like how easily could explain prime counts to continuous functions, like with:

Differential equation and prime counting

Again, powerful pure research, where problem with acceptance I believe? Sadly best explanation is people fearful of disruption of current funding for number theory research which then is bogus or unnecessary. That we in our times, can know why the count of prime numbers links to continuous functions like x/ln x is a blessing. That any would fight such knowledge, is a curse and consequence of error.

But yeah, huge thing that helped me move forward more confidently was finding a THIRD fundamental way existed to calculate a modular inverse. Where show, give an example and derive at:

Modular inverse innovation

The evidence is overwhelming. The social consequences? HUGE. There is no scenario where proper mathematicians ignore ANY of the above. And no one who loves knowledge should either.

A story long in the telling, with over a century of history, with a historical miss. Now known. What YOU do next though? Will help with where things go from here.


James Harris

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