All open problems
Source labels openChecked July 26, 2026
Equidistributed Sequences
For any transcendental number x, the sequence x * (3 / 2) ^ n is equidistributed modulo 1.
Mathematical statement
For any transcendental number x, the sequence x * (3 / 2) ^ n is
equidistributed modulo 1.
Statement source: Books 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
isEquidistributedModuloOne_transcendental_three_halves_pow
Complete statement target, proof intentionally absentLean 4
theorem isEquidistributedModuloOne_transcendental_three_halves_pow (x : ℝ) (hx : Transcendental ℚ x) : IsEquidistributedModuloOne (fun n ↦ x * (3 / 2 : ℝ) ^ n) := 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