zetafunction-dancing

Showing the course of the zetafunction as a simple geometry of "matches", adding just one vector to the other. Thus we may see, why zeroes may occur only for Re(s)=0.5(For other values, each vector of Re(s) and Re(1-s) will be completely different in their proportions, so the sums will not be able to converge at zero(The zeroes of the Etafunction coincide with the nontrivial zeroes of the zetafunction. The center of the final divergent spiral of the vectors of the zetfunction, fast contracting, concides with the value of the Riemann-zetafunction(functional equation)(although diverging!).Thoms.Kromer@t-online.de

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Education

Tags:

• zetafunction
• Riemann
• zeroes
• complex
• math
• partial
• sum
• vectors
• Zetafunktion
• thomas
• kromer
• primes
• non-trivial
• zeros
• Nullstellen