Random process generated by the incomplete Gauss sums
TURKISH JOURNAL OF MATHEMATICS, vol.39, pp.527-537, 2015 (SCI-Expanded, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 39
- Publication Date: 2015
- Doi Number: 10.3906/mat-1410-46
- Journal Name: TURKISH JOURNAL OF MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Page Numbers: pp.527-537
- Recep Tayyip Erdoğan University Affiliated: Yes
Abstract
In this paper we explore a random process generated by the incomplete Gauss sums and establish an analogue of weak invariance principle for these sums. We focus our attention exclusively on a generalization of the limit distribution of the long incomplete Gauss sums given by the family of periodic functions analyzed by the author and Marklof.