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Some experiments on the growth of Mertens matrices

Number Theory 2016-05-03 v1

Abstract

We give some experimental observations on the growth of the norm of certain matrices related to the Mertens function. The results obtained in these experiments convince us that linear algebra may help in the study of Mertens function and other arithmetic functions.

Keywords

Cite

@article{arxiv.1605.00131,
  title  = {Some experiments on the growth of Mertens matrices},
  author = {Jean-Paul Cardinal},
  journal= {arXiv preprint arXiv:1605.00131},
  year   = {2016}
}

Comments

7 pages, 3 figures