# E114: ζ via η: stability map on the critical line

```{figure} ../_static/experiments/e114_hero.png
:alt: E114 hero
:class: experiment-hero

E114: ζ via η: stability map on the critical line
```

**Tags:** `analysis`, `quantitative-exploration`, `visualization`, `riemann-zeta`, `critical-line`, `numerics`

## Highlights

- Focused numeric experiment with a small set of figures.
- Parameters saved to `params.json` for reproducibility.
- Defaults are chosen, so the experiment remains feasible for the CI “slow” suite.

## What is computed

- Study stability of ζ(1/2+it) via η-acceleration under truncation changes.

## Notes

- This page summarizes the intent; see the generated `report.md` in `out/` for concrete outputs.

## Published run snapshot

If this experiment is included in the docs gallery, include the published snapshot (report + params).

```{include} ../reports/e114.md
:start-after: "<!-- REPORT:BEGIN -->"
:end-before: "<!-- REPORT:END -->"
```

::: {dropdown} params.json (snapshot)
:open:

```{literalinclude} ../params/e114.json
:language: json
```

:::

## References

- See the zeta / zeros background pages in `docs/background/`.

## Related experiments

- {doc}`e091` (E091: Partial Euler products on the critical line)
- {doc}`e084` (E084: |ζ(1/2+it)| growth snapshots)
- {doc}`e086` (E086: Hardy Z(t) near zeros)
- {doc}`e082` (E082: Zeta(s) series convergence)
- {doc}`e083` (E083: Series vs. Euler product (ζ))