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BLOCKS PARTITION ANALYSIS: A POSSIBLE POSITIVITY OF THE LI-KEIPER COEFFICIENTS
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BLOCKS PARTITION ANALYSIS: A POSSIBLE POSITIVITY OF THE LI-KEIPER COEFFICIENTS
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Journal Article
BLOCKS PARTITION ANALYSIS: A POSSIBLE POSITIVITY OF THE LI-KEIPER COEFFICIENTS
2022
Overview
We develop an expression for the Li-Keiper coefficients λn in terms of k-blocks partitions, to begin with, for low values of n. The k-blocks partitions are given in terms of our cluster functions φn and the main point of this work lies in the emergence of an alternating sequence of values converging toward values of λn near the true values, i.e., increasing the index k of the blocks one obtains an increasing range of positivity of the Li-Keiper coefficients. With the contribution of k = 1 and k = 2 blocks, positivity of the λn is reached already until n = 26-27. The treatment is given here until k = 4 blocks up to n = 30. λn are all found to be positive.
Publisher
Nova Science Publishers, Inc
Subject
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