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What is Simplex Numbers and Fibonacci Theory about?

This paper presents a novel closed-form expression for Fibonacci numbers that does not rely on traditional recurrence relations or the golden ratio. It connects Fibonacci numbers to complex analysis and extends them to non-integer, irrational, and negative indices, while introducing Simplex Numbers and new summation formulas. The study also explores higher-dimensional simplicial structures, revealing significant insights into number theory and mathematical frameworks.

Author

Arshdeep Sethi

Language

EN