Random process generated by the incomplete Gauss sums

Demirci Akarsu E.

TURKISH JOURNAL OF MATHEMATICS, vol.39, pp.527-537, 2015 (SCI-Expanded) identifier identifier

  • 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.