Work

The Zero-Free Exponent of Signed Liouville Energies

Year: 2026

Type: preprint

Abstract: Expanded v2 research revision retaining the original v1 mathematical content with corrections. The signed Fejer energy growth exponent equals twice the supremum of the real parts of the nontrivial zeta zeros. The revision includes local reconstruction, a finite-prime main term, logarithmic-order prime-tail cancellation and explicit limitations of finite Abel-moment arguments. RH and Dirichlet GRH remain unproved. No new analytic Lean formalization or new zero-free region is claimed.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.24022872

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: W7225414752

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