On Maslanka's representation for the Riemann zeta-function
Luis Baez-Duarte
TL;DR
This paper provides a rigorous proof of Maslanka's hypergeometric-like representation of the Riemann zeta function, clarifying its mathematical foundation and potential applications.
Contribution
It offers the first rigorous proof of Maslanka's representation, advancing understanding of the zeta function's structure.
Findings
Confirmed the validity of Maslanka's representation
Established a rigorous mathematical foundation for the formula
Potential implications for analytic number theory
Abstract
A rigorous proof is given of the hypergeometric-like representation of the Riemann-zeta function discovered by K. Maslanka.
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Taxonomy
TopicsMathematical functions and polynomials · Mathematics and Applications · Analytic Number Theory Research