# Quasi Fibonacci approximation to the low tiny fluctuations of the Li-Keiper coefficients: a numerical computation

## TL;DR

This paper investigates the low fluctuations of Li-Keiper coefficients using numerical methods and explores potential advanced approximation techniques for better understanding.

## Contribution

It introduces a numerical approach analyzing the tiny fluctuations of Li-Keiper coefficients via discrete derivatives and compares series expansions for improved approximations.

## Key findings

- Numerical results indicate promising directions for more sophisticated approximations.
- Analysis of series expansions provides insights into the behavior of Li-Keiper coefficients.
- Comparison with exact series highlights potential for refined approximation methods.

## Abstract

Using the first discrete derivatives for the expansion in z=0 of the oscillating part lambdatiny(n) =lambda n* of the "tiny" Li-Keiper coefficients , we analyse two series in the variable z=1-1/s ~0 for the first low values and compare them with the exact series. The numerical results suggest interesting more "sophisticated" approximations.

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Source: https://tomesphere.com/paper/1904.07005