A random polynomial with multiplicative coefficients is almost surely irreducible

Key Points

• Irreducibility in random degree d polynomials can be ensured with high probability under the Riemann hypothesis.
• The analysis indicates probability of irreducibility approaches 1, minus an error term dependent on d.
• Issues of polynomials and multiplicative coefficients are significant in understanding their irreducibility properties.
• Conclusion emphasizes the relevance of the Riemann hypothesis and its implications in the field of number theory.