Random process generated by the incomplete Gauss sums

Demirci Akarsu E.

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

  • 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.