Work

Signed Liouville energies and the limits of maximal correlation bounds

Year: 2026

Type: preprint

Abstract: Research revision of the Liouville-correlation preprint. It proves a deterministic obstruction for maximal correlation energies, quantitative Mellin pole bounds, and an exact exponent identity for smoothed Liouville sums across Dirichlet conductors. A large-sieve estimate controls the contribution from primitive conductors at least X^(1/3). The companion Lean file checks the finite Gram inequality. RH and Dirichlet GRH remain unproved.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.24015191

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: W7225431560

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