The Divisibility Modulo 4 of Kloosterman Sums over Finite Fields of Characteristic 3

Sin, Changhyon. "The Divisibility Modulo 4 of Kloosterman Sums over Finite Fields of Characteristic 3." Serdica Journal of Computing 5.1 (2011): 1-14. <http://eudml.org/doc/11402>.

@article{Sin2011,
abstract = {Recently Garashuk and Lisonek evaluated Kloosterman sums K (a) modulo 4 over a finite field F3m in the case of even K (a). They posed it as an open problem to characterize elements a in F3m for which K (a) ≡ 1 (mod4) and K (a) ≡ 3 (mod4). In this paper, we will give an answer to this problem. The result allows us to count the number of elements a in F3m belonging to each of these two classes.},
author = {Sin, Changhyon},
journal = {Serdica Journal of Computing},
keywords = {Kloosterman Sums; Divisibility; Exponential Sum; Kloosterman sums; divisibility; exponential sum},
language = {eng},
number = {1},
pages = {1-14},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {The Divisibility Modulo 4 of Kloosterman Sums over Finite Fields of Characteristic 3},
url = {http://eudml.org/doc/11402},
volume = {5},
year = {2011},
}

TY - JOUR
AU - Sin, Changhyon
TI - The Divisibility Modulo 4 of Kloosterman Sums over Finite Fields of Characteristic 3
JO - Serdica Journal of Computing
PY - 2011
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 5
IS - 1
SP - 1
EP - 14
AB - Recently Garashuk and Lisonek evaluated Kloosterman sums K (a) modulo 4 over a finite field F3m in the case of even K (a). They posed it as an open problem to characterize elements a in F3m for which K (a) ≡ 1 (mod4) and K (a) ≡ 3 (mod4). In this paper, we will give an answer to this problem. The result allows us to count the number of elements a in F3m belonging to each of these two classes.
LA - eng
KW - Kloosterman Sums; Divisibility; Exponential Sum; Kloosterman sums; divisibility; exponential sum
UR - http://eudml.org/doc/11402
ER -