What question did this study set out to answer?

The aim is to explore the relationship between the Fibonacci sequence and the Riemann zeta function.

June 22, 20260 citationsOpen Access

The Fibonacci Blueprint within the Riemann Zeta Landscape

MPMihir PratapBabasaheb Bhimrao Ambedkar Bihar University

Key Points

The aim is to explore the relationship between the Fibonacci sequence and the Riemann zeta function.
Analyzed the geometric representations of both the Fibonacci sequence and the Riemann zeta function.
Identified overlapping coordinates within their structures.
Found specific points where the Fibonacci spiral aligns with the Riemann zeta function.
Demonstrated that the Golden Ratio serves as a foundational element in the connection.

Abstract

This paper investigates the structural interconnectivity between the Fibonacci sequence and theRiemann zeta function. By analyzing their geometric representations, we identify specific overlappingcoordinates where the Fibonacci spiral submerges perfectly into the complex landscape of the Riemannzeta function. This resonance suggests that the Golden Ratio acts as a universal blueprint woven intothe very fabric of number theory and physical reality.

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