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.

DOI

10.3906/mat-1410-46

Keywords

Gauss sums, random process

First Page

527

Last Page

537

Recommended Citation

AKARSU, E. D (2015). Random process generated by the incomplete Gauss sums. Turkish Journal of Mathematics 39 (4): 527-537. https://doi.org/10.3906/mat-1410-46

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