Source labels openChecked July 26, 2026

Ben Green's Open Problem 35: Upper

Upper bound for $c(p)$ for $1 < p \le \infty$ , improving the best-known value at $p = \infty$ .

Real functions AMS 26 AMS 28 AMS 42

Mathematical statement

Upper bound for $c(p)$ for $1 < p \le \infty$ , improving the best-known value at $p = \infty$ .

Statement source: Green's Open Problems statement material

Statement terms: Source-specific

Source-specific terms. Therefore does not assert reuse rights beyond attributed display.

Statement artifacts, not proofs

These records expose exact Lean propositions and statement-only wrappers. Defining a proposition does not supply a proof of it. A placeholder-bearing target also contains no proof. Elaboration checks syntax and types; it does not certify that a formalization perfectly captures every nuance of the informal problem.

Pinned Lean formulation 1

green_35.upper

Canonical source

Complete statement target, proof intentionally absentLean 4

theorem green_35.upper :    let ub : ℝ≥0∞ → ℝ≥0∞ := answer(sorry)    (∀ p, 1 < p → c p ≤ ub p) ∧ ub ∞ < 0.7505 := by  sorry

Statement source: Formal Conjectures
Lean version: v4.27.0
Placeholder: Present; no proof artifact
Source evidence: Pinned source index
Fidelity review: Community formulation

References

Pinned Formal Conjectures sourceformalization Ben Green's Open Problem 35background Gr01background CS17background