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Set Equidistribution of subsets of (Z/nZ) *

Abstract : 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.
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Submitted on : Saturday, January 19, 2019 - 8:30:32 AM
Last modification on : Monday, March 28, 2022 - 8:14:08 AM

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

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