Supercharacters, elliptic curves, and the sixth moment of Kloosterman sums

Supercharacters, elliptic curves, and the sixth moment of Kloosterman sums
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DOI:
10.1016/j.jnt.2019.01.004
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发表时间:
2018-04
影响因子:
0.7
通讯作者:
S. Garcia;George Todd
S. Garcia;George Todd
中科院分区:
数学3区
文献类型:
--
作者:
S. Garcia;George Todd

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利用超特征标理论将Kloosterman和的六次幂矩与椭圆曲线联系起来。这产生了一个初等的证明,Kloosterman和Ku与模p <$u是O(p 2/3)。
We use supercharacter theory to connect the sixth power moment of Kloosterman sums to elliptic curves. This yields an elementary proof that Kloosterman sums K u with modulus p∤ u are O (p 2/3).