An Exact Apéry Limit for the AESZ 182 Calabi–Yau Recurrence
Year: 2026
Type: preprint
Abstract: We prove the Apéry-limit conjecture for the fourth-order Calabi–Yau recurrence AESZ 182 (OEIS A396281): lim_{n→∞} b_n/a_n = (3/11)ζ(3). The proof realizes the holomorphic solution as a determinant Laurent period, constructs a relative cap producing an inhomogeneous Picard–Fuchs solution, evaluates its source exactly, and computes the determinant Mahler measure as 9ζ(3)/(2π²). We also prove a_n ~ (9/(2π²))27^n/n² and provide exact ancillary verification scripts.
Author: Alex Shvets
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7203712111
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