Published January 15, 2026 | Version v0.1
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The φ(n)-Residue Framework for L-Functions: A Constructive Spectral Approach to the Riemann Hypothesis

Authors/Creators

Description

This preprint introduces an operator-theoretic framework for Artin L-functions based on a multiplicative boundary condition arising from Euler’s totient function. The construction is unconditional; the connection to zero distributions requires explicit analytic hypotheses. A full exposition, including the φ(n)-residue boundary, dilation symmetry, curvature estimates, and the spectral wall inequality, is provided.

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Additional details

Software

Repository URL
https://github.com/mia-research
Programming language
Python
Development Status
Wip