Random process generated by the incomplete Gauss sums
TURKISH JOURNAL OF MATHEMATICS, cilt.39, ss.527-537, 2015 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 39
- Basım Tarihi: 2015
- Doi Numarası: 10.3906/mat-1410-46
- Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.527-537
- Recep Tayyip Erdoğan Üniversitesi Adresli: Evet
Özet
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.