Dirichlet Eta Function
η(s) = Σ (−1)ⁿ⁻¹/nˢ — alternating Riemann zeta series on the complex plane
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Domain Color
Partial Sums
Critical Line
Re(s):
0.50
Im(s):
14.13
Terms N:
200
Zoom:
1.0
▶ Animate Im(s)
η(s) = (1−2¹⁻ˢ)ζ(s)
Zeros of η ↔ zeros of ζ (Riemann zeta) on critical strip. The
Riemann Hypothesis
states all non-trivial zeros have Re(s)=½.
First zeros (Im): 14.135, 21.022, 25.011, 30.425…
η(s) Re
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η(s) Im
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|η(s)|
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