Set Equidistribution of subsets of (Z/nZ) *

Jaitra Chattopadhyay (1) , Veekesh Kumar (1) , R Thangadurai (1)

1 Harish-Chandra Research Institute

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.

Domaines: Mathématiques [math]; Théorie des nombres [math.NT]

Jaitra Chattopadhyay, Veekesh Kumar, R Thangadurai. Set Equidistribution of subsets of (Z/nZ) *. Hardy-Ramanujan Journal, 2019, Atelier Digit_Hum, pp.118 - 126. ⟨10.46298/hrj.2019.5113⟩. ⟨hal-01986709⟩