On the Order of the Error Function of the (k, r)-Integers—II
Canadian mathematical bulletin, Tome 20 (1977) no. 3, pp. 397-399
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In the first part of this note we give a very simple and elegant proof of the theorem on the order of the error function of the (k, r)-integers, which the authors proved earlier using elaborate calculations. We also obtain an improvement of an earlier result on the order of the same error function on the basis of the Riemann hypothesis.
Mots-clés :
10A20, r-free integers, Riemann hypothesis, Riemann zeta function, Möbius function
Subbarao, M. V.; Suryanarayana, D. On the Order of the Error Function of the (k, r)-Integers—II. Canadian mathematical bulletin, Tome 20 (1977) no. 3, pp. 397-399. doi: 10.4153/CMB-1977-060-8
@article{10_4153_CMB_1977_060_8,
author = {Subbarao, M. V. and Suryanarayana, D.},
title = {On the {Order} of the {Error} {Function} of the (k, {r)-Integers{\textemdash}II}},
journal = {Canadian mathematical bulletin},
pages = {397--399},
year = {1977},
volume = {20},
number = {3},
doi = {10.4153/CMB-1977-060-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-060-8/}
}
TY - JOUR AU - Subbarao, M. V. AU - Suryanarayana, D. TI - On the Order of the Error Function of the (k, r)-Integers—II JO - Canadian mathematical bulletin PY - 1977 SP - 397 EP - 399 VL - 20 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-060-8/ DO - 10.4153/CMB-1977-060-8 ID - 10_4153_CMB_1977_060_8 ER -
%0 Journal Article %A Subbarao, M. V. %A Suryanarayana, D. %T On the Order of the Error Function of the (k, r)-Integers—II %J Canadian mathematical bulletin %D 1977 %P 397-399 %V 20 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-060-8/ %R 10.4153/CMB-1977-060-8 %F 10_4153_CMB_1977_060_8
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