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This work aims to explore a new series expression for the Riemann zeta function and its convergence properties.

April 3, 2026Open Access

A New Series Expression and Convergence Characteristics of the Riemann Zeta Function Using Binomial Expansion

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This work aims to explore a new series expression for the Riemann zeta function and its convergence properties.
Develop a series expression using binomial expansion.
Analyze convergence characteristics of the presented series.
Apply mathematical analysis to validate findings.
Introduced a new series expression for the Riemann zeta function.
Demonstrated favorable convergence characteristics compared to existing methods.

Mathematical analysis shows new series expression and convergence in the Riemann zeta function, indicating a novel approach to its study.

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SungKun Kim (2026) studied this question.

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