← all constants

Polya-Vinogradov best constant (squarefree asymptotic)

72a
Upper bound, last-listed row
| $\dfrac{1}{2\pi^2}$ | [[BK2020](#BK2020)] | Squarefree moduli, even characters. [BK2020-main-constants] |
exact pinned row| $\dfrac{1}{2\pi^2}$ | [[BK2020](#BK2020)] | Squarefree moduli, even characters. <a href="#BK2020-main-constants">[BK2020-main-constants]</a> |
tracked since 2026-07-24 — no movement seen yet
Lower bound, last-listed row
| $0$ | | Trivial from nonnegativity of the defining infimum. |tracked since 2026-07-24 — no movement seen yet
the mirrored file · upstream source · looks wrong?
Cite this rowBounds Ledger — Polya-Vinogradov best constant (squarefree asymptotic) (72a) upper bound: $\dfrac{1}{2\pi^2}$ (tracked since 2026-07-24 — no movement seen yet) lower bound: $0$ (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/72a.html