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November 30, 2025Open Access

Twin Prime Asymptotics from a Finite–Range Positive Operator: A Structural and Spectral Approach

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Abstract

This paper introduces a finite-range positive operator on ℓ²(ℕ) whose kernel encodes twin prime adjacency via p-adic decomposition, yielding the Hardy-Littlewood constant, and derives the twin prime asymptotic through heat-trace analysis and Ingham's Tauberian theorem.

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Anonymous (2025) studied this question.

synapsesocial.com/papers/69402c6e2d562116f290355d https://doi.org/10.5281/zenodo.17765704

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