On partial sums of the M\"obius and Liouville functions for number fields
Number Theory
2012-12-19 v1
Abstract
Landau examined the partial sums of the M\"obius function and the Liouville function for a number field . First we shall try again the same problem by using a new Perron's formula due to Liu and Ye. Next we consider the equivalent theorem of the grand Riemann hypothesis for the Dedekind zeta-function of and that of the prime ideal theorem.
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Cite
@article{arxiv.1212.4348,
title = {On partial sums of the M\"obius and Liouville functions for number fields},
author = {Yusuke Fujisawa and Makoto Minamide},
journal= {arXiv preprint arXiv:1212.4348},
year = {2012}
}
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13 pages