Dyadic-Moment Closure for U_n = Σ_{k=0}^n binom(n,k)^{-1}.
Year: 2026
Type: article
Abstract: . We introduce a dyadic-moment closure technique for the inverse binomial sum U_n = Σ_{k=0}^n binom(n,k)^{-1}. Starting from a beta-function integral representation, we derive an exact closed form, a canonical dyadic operator, a closed ordinary generating function, and a complete two-scale asymptotic tower with explicit rational coefficients. The framework extends naturally to parametric deformations U_n(α), yielding new exact identities and certified approximations. This operator-theoretic approach unifies and surpasses standard methods for reciprocal combinatorial sums.
Author: Audigé Youmbi, Salomon Emmanuel
Institution: Christian Missionary Fellowship International
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7129424766
FWCI:
Cites:
Cited by:
Related to: