{"docId":5113,"paperId":5113,"url":"https:\/\/hrj.episciences.org\/5113","doi":"10.46298\/hrj.2019.5113","journalName":"Hardy-Ramanujan Journal","issn":"","eissn":"2804-7370","volume":[],"section":[],"repositoryName":"Hal","repositoryIdentifier":"hal-01986709","repositoryVersion":1,"repositoryLink":"https:\/\/hal.archives-ouvertes.fr\/hal-01986709v1","dateSubmitted":"2019-01-23 14:20:04","dateAccepted":"2019-01-23 15:38:12","datePublished":"2019-01-23 15:38:20","titles":{"en":"Set Equidistribution of subsets of (Z\/nZ) *"},"authors":["Chattopadhyay\n, \nJaitra","Kumar\n, \nVeekesh","Thangadurai\n, \nR"],"abstracts":{"en":"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."},"keywords":["\n[\nMATH\n] \nMathematics [math]","\n[\nMATH.MATH-NT\n] \nMathematics [math]\/Number Theory [math.NT]"]}