Number Theory

   

A Heuristic for Skolems Solution for Linear-Recurrences, Based on the Lower Bound of the Non-Zero Magnitude of the Discrete Sine Function

Authors: Deepak Ponvel Chermakani

Our previous paper derived a result that an eventual non-zero lower bound ofminimum(absolute(sin(mπθ)), over positive integers m less than n), for large positive integers n, is (2 / (sqrt(5) n)). In this paper, we use this result to develop a heuristic to estimate the upper bound of the last non-periodic zero of any given homogenous linear recurrence with integer coefficients and integer starting points

Comments: 2 Pages.

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Submission history

[v1] 2024-09-29 00:08:34

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