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    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Applying Noether theorems to Riemann zeta function and Sieve of Eratosthenes

Applying Noether theorems to Riemann zeta function and Sieve of Eratosthenes

Ting, John Yuk Ching

Paperback

Series: BSD Conjecture and Riemann Hypothesis, Book 8

General MathematicsGeneral Science

ISBN13: 9798247282501
Publisher: Independently Published
Published: Feb 7 2026
Pages: 74
Weight: 0.43
Height: 0.15 Width: 8.50 Depth: 11.00
Language: English
We differentiate the rigorous Statistical mathematical proofs from the rigorous Non-statistical mathematical proofs. Statement 1: As faithfully present in self-dual L-function of Dirichlet eta function [that represents analytic continuation of Genus 0 curve Riemann zeta function], the entire Set Nontrivial Zeros containing infinitely many elements is only located on its Critical line. Statement 2: As faithfully computed using Sieve of Eratosthenes, the entire Set Gap n Odd Primes containing infinitely many elements is precisely constituted from Arbitrarily Large Number of Subsets Gap n = 2, 4, 6, 8, 10... Odd Primes with each Subset again containing infinitely many elements. Using correct and complete mathematical arguments, we show these two statements are true only if Noether theorems [involving Science of Symmetry and Law of Conservation] are fully complied with. We provide the rigorous proof for Gilbreath's conjecture [and beyond] in the Conclusions section of this paper.

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