Random process generated by the incomplete Gauss sums | Zendy

Emek Demirci Akarsu | Zendy

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Random process generated by the incomplete Gauss sums

Author(s) -

Emek Demirci Akarsu

Publication year - 2015

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1410-46

Subject(s) - generalization , gauss , gauss sum , limit (mathematics) , mathematics , focus (optics) , quadratic gauss sum , invariance principle , distribution (mathematics) , process (computing) , pure mathematics , calculus (dental) , mathematical analysis , computer science , physics , epistemology , quantum mechanics , medicine , philosophy , dentistry , optics , operating system

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.

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