Burgess-quality subconvexity exponent for Dirichlet $L$-functions (62b)

Burgess-quality subconvexity exponent for Dirichlet $L$-functions

62b

Upper bound, last-listed row

| $3/16$ | [Bur1963] | Burgess bound (as quoted in modern sources). [PY2020-burgess-3-16] |

exact pinned row

| $3/16$ | <a href="#Bur1963">[Bur1963]</a> | Burgess bound (as quoted in modern sources). <a href="#PY2020-burgess-3-16">[PY2020-burgess-3-16]</a> |

tracked since 2026-07-24 — no movement seen yet

Lower bound, last-listed row

| $0$ | | Trivial from the definition $C_{62b}\ge 0$. |tracked since 2026-07-24 — no movement seen yet

Cite this row

Bounds Ledger — Burgess-quality subconvexity exponent for Dirichlet $L$-functions (62b)
upper bound: $3/16$ (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/62b.html