IJPAM: Volume 89, No. 5 (2013)

DIVISOR FUNCTION $\tau _{3} \left(\omega \right)$
WEIGHTED BY KLOOSTERMAN SUM

Z. Dadayan$^1$, S. Sergeev$^2$, P. Varbanets$^3$
$^1$Odesa 65026, Dvoryanska st. 2
UKRAINE
$^2$Odesa 65001, Deribasivska st. 17 ap. 12
UKRAINE
$^3$Odesa 65026, Dvoryanska st. 2
UKRAINE


Abstract. In this article we investige values of $\tau_3(\omega)$ over the Gaussian integer, and obtain estimation sum of $\tau_3(\omega)$ weighted by Kloosterman sum.

Received: September 18, 2013

AMS Subject Classification: 11T24

Key Words and Phrases: divisor function, the Gaussian integers, Kloosterman sum

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DOI: 10.12732/ijpam.v89i5.9 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 89
Issue: 5