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Landau's constant

57b
Upper bound, last-listed row
| $\dfrac{\Gamma(1/3)\Gamma(5/6)}{\Gamma(1/6)}\approx 0.5433$ | [Rad1943] | Upper bound attributed to Rademacher (as summarized in [BS2023]). [BS2023-bounds-L] |
exact pinned row| $\dfrac{\Gamma(1/3)\Gamma(5/6)}{\Gamma(1/6)}\approx 0.5433$ | <a href="#Rad1943">[Rad1943]</a> | Upper bound attributed to Rademacher (as summarized in <a href="#BS2023">[BS2023]</a>). <a href="#BS2023-bounds-L">[BS2023-bounds-L]</a> |
tracked since 2026-07-24 — no movement seen yet
Lower bound, last-listed row
| $\dfrac{1}{2}+10^{-335}$ | [Yan1995] | Lower bound attributed to Yanagihara (as summarized in [BS2023]). [BS2023-bounds-L] |
exact pinned row| $\dfrac{1}{2}+10^{-335}$ | <a href="#Yan1995">[Yan1995]</a> | Lower bound attributed to Yanagihara (as summarized in <a href="#BS2023">[BS2023]</a>). <a href="#BS2023-bounds-L">[BS2023-bounds-L]</a> |
tracked since 2026-07-24 — no movement seen yet
the mirrored file · upstream source · looks wrong?
Cite this rowBounds Ledger — Landau's constant (57b) upper bound: $\dfrac{\Gamma(1/3)\Gamma(5/6)}{\Gamma(1/6)}\approx 0.5433$ (tracked since 2026-07-24 — no movement seen yet) lower bound: $\dfrac{1}{2}+10^{-335}$ (tracked since 2026-07-24 — no movement seen yet) Mirrored from teorth/optimizationproblems@2c1968c. These are the last-listed rows of that constant's bounds table — a listing position, not a statement that this bound is the strongest or most recent. A snapshot at that sha, not a live read. https://u00dxk2.github.io/bounds-ledger/c/57b.html