Work

Signed Liouville energies and the limits of maximal correlation bounds

Year: 2026

Type: preprint

Abstract: Version 2 research revision of the Liouville-correlation preprint. The manuscript proves deterministic obstructions for maximal correlation energies, develops signed Fejer energy criteria for RH and Dirichlet GRH, and derives reciprocal-dilate approximation results, including a fixed bounded-variation taper obstruction and quantitative coefficient-cost bounds. The Riemann Hypothesis and Dirichlet GRH remain unproved. The 7/8 specialization is explicitly attributed to the external OpenAI quasi-Riemann manuscript. Novelty and journal suitability remain subject to specialist review.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.24014165

Authors: Bhattacharjee, Deep, Bhattacharya, Ushashi

Institutions: University of Calcutta, National Taiwan University

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7225417575

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