A proof of the RH is provided. It is enabled by a combined integral and series representation of Riemann’s meromorph Zeta function occuring in the symmetrical form of his functional equation, (EdH) 1.6, 1.7, based on one of Milgram's integral and series representations, (MiM).

                     

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

    
   

                                                August 2023
                                         Christmas 2025 update

                                               Main references

                             

Edwards H. M., Riemann s Zeta Function

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

Some earlier related papers

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

 

Braun K., A Kummer function based Zeta function theory to prove the Riemann Hypothesis and the Goldbach conjecture, March 27, 2017

Braun K., A Kummer function based Zeta function theory to prove the Riemann Hypothesis and the binary Goldbach conjecture.pdf

Braun K., A distributional way to prove the Goldbach conjecture leveraging the circle method, Jan 8, 2015.pdf

 

Braun K., The Goldbach conjecture, a solution concept enabled by the alternative Zeta function theory

 

Braun K., A new integral and series representation of the Zeta function to prove the Riemann Hypothesis

 

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

 

Braun, K., The Kummer conjecture, p-th cyclotomic polynomials, the zeta function at odd integers, and all that ....pdf

                          

Braun K., Looking back, part A, (A1)-(A3)