Geodesic
Short Kloosterman Sums with Weights
Matematičeskie zametki, Tome 88 (2010) no. 3, pp. 415-427

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We obtain a new estimate for Kloosterman sums with weights in which the number of summands is significantly less than any arbitrarily small fixed power of the modulus.
Keywords: Kloosterman sum with weight, prime number, Euler function, Möbius function, square-free number. 
@article{MZM_2010_88_3_a9,
     author = {M. A. Korolev},
     title = {Short {Kloosterman} {Sums} with {Weights}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {415--427},
     publisher = {mathdoc},
     volume = {88},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2010_88_3_a9/}
}
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M. A. Korolev. Short Kloosterman Sums with Weights. Matematičeskie zametki, Tome 88 (2010) no. 3, pp. 415-427. http://geodesic.mathdoc.fr/item/MZM_2010_88_3_a9/