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November 30, 2025Open Access

Structural Analytic Theory of Goldbach Representations: Euler Kernels, Heat-Trace Asymptotics, and Tauberian Inversion

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Abstract

This framework leverages local p-adic admissibility to form an Euler product for the Goldbach Dirichlet series, analyzes its double pole via heat-trace asymptotics and Mellin inversion, and applies de Haan's Tauberian theorem to obtain the summatory asymptotic with error terms.

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Anonymous (2025) studied this question.

synapsesocial.com/papers/69402c6e2d562116f2903555 https://doi.org/10.5281/zenodo.17765721

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