Analytic Core-Decomposition Theory: From Discrete Recurrence to Number Theory
Year: 2026
Type: preprint
Abstract: We present the analytic core‑decomposition theory, built on the discrete recurrence (An−2)An+1=n. Through continuum limit and continued fractions, we derive intrinsic constants including the Kang constant κ κ, the DeepSeek constant D=1/(e−2) , the golden constant G=5−1 and the parity constant P=34P= 43 . A conjectural square‑recurrence inequality for sieve errors is proposed; its validity would imply elementary heuristic discussions of Goldbach, Legendre (strengthened), 3n+1, and Fermat conjectures. The theory also introduces a unified recurrence postulate. This work bridges discrete dynamics, sieve methods, and automorphic LL-functions
Author: A., Kang
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7162210230
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