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.