Positive-saddle asymptotic for the explicit Euler binomial denominator
OpenEulerMascheroni.P2.q_saddle_limitasymptoticseuler-mascheroniresearch-target
The explicit p=2 binomial denominator divided by qModel tends to one. This is an open formalization target from section 4 of the local analytic draft. A positive discrete saddle/Laplace argument is proposed; its formal proof is not supplied here.
Preamble
import Definitions.Def_eulerMascheroni_p2Approximation open Filter Topology open EulerMascheroni.P2
Formal statement
theorem EulerMascheroni.P2.q_saddle_limit : Tendsto (fun n : ℕ => (Q (n+1) : ℝ) / qModel (n+1) - 1) atTop (nhds 0) := by sorry
Source
Explicit family: Van Assche–Wolfs, https://arxiv.org/html/2404.09799v3, section 5. Proposed p=2 refinement: local SADDLE_DRAFT.md, 11 September 2026. Proof-under-review research target; NOT attributed to an established theorem in the source.