He wrote in the Music of the Primes................was there really no way to write the equation out to West?..............in the negative numbers...........the critical line is at 1/2..........which is very close to the origin....................if it is half full, the glass is half empty..........if it is 1/10 full...........it is 9/10 empty....................and vice versa...........I bet it might be with negative fractions..............taken from the harmonic series, the equivalent portions subtracted from 1 or negative one............I do not know analysis............and I am too tired to try to learn that on top of everything else.................................maybe putting an S on a series of the other portions of the harmonic series is the equation he was alluding to........I am not sure......





What Euler and Riemann did was to use the harmonic series.............just giving each term the same exponent...............................so what would the harmonic series look like............if u subtracted each term...........from negative one.....................it would start.............0, - 1/2, - 2/3.............

Harmonic series (mathematics)

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In mathematics, the harmonic series is the divergent infinite series:

${\displaystyle \sum _{n=1}^{\infty }{\frac {1}{n}}=1+{\frac {1}{2}}+{\frac {1}{3}}+{\frac {1}{4}}+{\frac {1}{5}}+\cdots }$

Its name derives from the concept of overtones, or harmonics in music: the wavelengths of the overtones of a vibrating string are 1/2, 1/3, 1/4, etc., of the string's fundamental wavelength. Every term of the series after the first is the harmonic mean of the neighboring terms; the phrase harmonic mean likewise derives from music.