What question did this study set out to answer?

The aim is to provide a proof for Newman's conjecture, particularly focusing on the behavior of the partial sums of the Liouville function.

March 27, 20260 citationsOpen Access

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Newman's Conjecture

JKJoseph R. KeenUniversity of California, Riverside

Key Points

The aim is to provide a proof for Newman's conjecture, particularly focusing on the behavior of the partial sums of the Liouville function.
Mathematical proof development based on previous conjectures and theories.
Analysis of partial sums related to the Liouville function.
Proof demonstrates new insights into the behavior of partial sums of the Liouville function.

Abstract

Preprint v1 — A proof of Newman's conjecture on the partial sums of the Liouville function. Abstract redacted pending IP review. Full abstract and unrestricted access will be available in v2 upon completion of intellectual property proceedings. Author: Joseph Keen Affiliation: Phoenix Quantum Labs LLC

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Joseph R. Keen (Wed,) studied this question.

synapsesocial.com/papers/69c620ab15a0a509bde193ca https://doi.org/https://doi.org/10.5281/zenodo.19216599

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Newman's Conjecture

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Abstract

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