FROM LOGIC TO ZEROS: TRUTH-TABLE METHODS IN RIEMANN HYPOTHESIS ANALYSIS

Authors

  • Dr. Samuel Frederick Langston British National (Overseas), Fellow, Scholar Academic Scientific Society (SASS), India,Dignitary Fellow, International Organization for Academic & Scientific Development (IOASD), India

DOI:

https://doi.org/10.5281/zenodo.19661976

Keywords:

Riemann Hypothesis, Truth Tables, Mathematical Logic, Gödel’s Incompleteness Theorem, Conditional Statements

Abstract

The Riemann Hypothesis remains unresolved despite numerous attempts. This study introduces a logical truth-table approach to evaluate the conditional structure of the hypothesis, building on prior work using multiplicative telescoping and prime boundary gaps. Four truth cases are analyzed: three support the hypothesis, while one initially appears as a counterexample. However, this disproof conflicts with Gödel’s Incompleteness Theorem, leaving the remaining cases to reinforce the hypothesis. This method offers a novel logical framework for assessing conditional hypotheses and has broader applications in logic, language modeling, and engineering.

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Published

2026-01-29

Issue

Vol. 14 No. 1 (2026)

Section

Articles