Unified Field Theory
Riemann Hypothesis
Goldbach  Conjecture
Kummer Conjecture
Euler Constant
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The proof is based on a new integral and series representation of Riemann's meromorphic Zeta function occuring in the symmetrical form of his functional equation, (EdH) 1.6, 1.7. Surprisingly (by chance or by purpose?), the equation which provides the appropriate characterization of the imaginary parts of the non-trivial zeros of the zeta function is governed by the same sequence, (4n-1) = 2n+(2n-1);  this sequence also governs the scheme of several quanta numbers in the proposed quanta field theory. The proof solves the Riemann Hypothesis Clay Institute Millennium Problem.


                        

Braun K., A proof of the Riemann Hypothesis.pdf


 

Braun K., A simple Dirichlet series based proof of the Riemann Hypothesis?.pdf

                                            December 2024



                                               Main references

   

Braun K., A toolbox to build a non-harmonic Fourier series based two-semicircle method.pdf

                             

Edwards H. M., Riemann s Zeta Function


(MiM) Milgram M. S., Integral and Series Representations of Riemann’s Zeta Function, …