Hardy Ramanujan Journal |

In 2010, Murty and Thangadurai [MuTh10] provided a criterion for the set equidistribution of residue classes of subgroups in (Z/nZ) *. In this article, using similar methods, we study set equidistribution for some class of subsets of (Z/nZ) *. In particular, we study the set equidistribution modulo 1 of cosets, complement of subgroups of the cyclic group (Z/nZ) * and the subset of elements of fixed order, whenever the size of the subset is sufficiently large.

Source : oai:HAL:hal-01986709v1

Published on: January 23, 2019

Submitted on: January 23, 2019

Keywords:
[
MATH
]
Mathematics [math],
[
MATH.MATH-NT
]
Mathematics [math]/Number Theory [math.NT]

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