English

A numerical comment on the 'tiny' oscillations and a heuristic 'conjecture'

Number Theory 2019-04-09 v2

Abstract

In the first part of this short work (in the form of a comment) we add the plots of two more values of the Li-Keiper coefficients lambda5 and lambda6, computed as in our recent work where the first four values were in particular given. This for the trend as well as for the oscillating path ('tiny', the term coined by Maslanka in his pioneering work). Then, in the second part looking at the tiny oscillations, we propose a 'numerical conjecture' in a more strong form, i.e. with a logarithmic behaviour and carry out a short numerical experiment on the new 'numerical conjecture'.

Keywords

Cite

@article{arxiv.1903.06233,
  title  = {A numerical comment on the 'tiny' oscillations and a heuristic 'conjecture'},
  author = {Merlini Danilo and Sala Massimo and Sala Nicoletta},
  journal= {arXiv preprint arXiv:1903.06233},
  year   = {2019}
}

Comments

8 pages, 6 figures

R2 v1 2026-06-23T08:08:38.859Z