| viXra.org > Number Theory > viXra:2311.0052 |
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| viXra.org > Number Theory > viXra:2311.0052 |
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Number Theory |
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Authors: John Yuk Ching Ting
We validly ignore even prime number 2. Based on all arbitrarily large number of even prime gaps 2, 4, 6, 8, 10...; the complete set and its derived subsets of Odd Primes fully comply with Prime number theorem for Arithmetic Progressions. With this condition being satisfied by all Odd Primes, we argue that Modified Polignac's and Twin prime conjectures are proven to be true when these conjectures are treated as Incompletely Predictable Problems. In so doing [and with Riemann hypothesis being a special case], this action also support the generalized Riemann hypothesis formulated for Dirichlet L-function. By broadly applying Hodge conjecture, Grothendieck period conjecture and Pi-Circle conjecture to Dirichlet eta function (which acts as proxy function for Riemann zeta function), Riemann hypothesis is separately proven to be true when this hypothesis is treated as Incompletely Predictable Problem.
Comments: 82 Pages. Now incorporating Hodge conjecture, Grothendieck period conjecture and Pi-Circle conjecture
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[v1] 2023-11-10 01:07:57
[v2] 2023-12-08 09:16:15
[v3] 2024-01-20 01:00:27
Unique-IP document downloads: 613 times
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