Geodesic
Cancellations amongst Kloosterman sums
Igor E. Shparlinski1 ; Tianping Zhang2
1Department of Pure Mathematics University of New South Wales Sydney, NSW 2052, Australia
2School of Mathematics and Information Science Shaanxi Normal University Xi’an 710119 Shaanxi, P.R. China
Acta Arithmetica, Tome 176 (2016) no. 3, pp. 201-210
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We obtain several estimates for bilinear forms with Kloosterman sums. Such results can be interpreted as a measure of cancellations amongst Kloosterman sums with parameters from short intervals. In particular, for certain ranges of parameters we improve some recent results of Blomer, Fouvry, Kowalski, Michel, and Milićević (2014) and Fouvry, Kowalski and Michel (2014).
DOI : 10.4064/aa8365-6-2016
Keywords: obtain several estimates bilinear forms kloosterman sums results interpreted measure cancellations amongst kloosterman sums parameters short intervals particular certain ranges parameters improve recent results blomer fouvry kowalski michel mili evi fouvry kowalski michel

Igor E. Shparlinski  1   ; Tianping Zhang  2

1 Department of Pure Mathematics University of New South Wales Sydney, NSW 2052, Australia
2 School of Mathematics and Information Science Shaanxi Normal University Xi’an 710119 Shaanxi, P.R. China 
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Igor E. Shparlinski; Tianping Zhang. Cancellations amongst Kloosterman sums. Acta Arithmetica, Tome 176 (2016) no. 3, pp. 201-210. doi: 10.4064/aa8365-6-2016

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