Work

Critical Liouville Energies and Zeta-Zero Detection

Year: 2026

Type: preprint

Abstract: A multipole theorem bounds the normalized Liouville energy from below by a sum of pole contributions. A positive Fejer weight and a certified finite calculation give an unconditional limsup lower bound strictly greater than 1811/2500. RH and Dirichlet GRH remain open.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.24014164

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: W7225450806

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