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On a generalization of Kloosterman sums
Mathematical Notes, 2015For integers \(u, v, w\) and natural numbers \(q\), \(d\) with \(d\mid q\). We define \[ K_{q,d}\left(u, v; w\right)=\mathop{\mathop{\sum_{z=1}^{q}}_{(z,q)=1}}_{z\equiv w \;(\bmod d)} e\left(\frac{uz+vz^{-1}}{q}\right), \] where \(e(x)=\text{e}^{2\pi ix}\).
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An improved estimate of the fourth power mean of the general $3$-dimensional Kloosterman sum mod $p$
, 2020Nilanjan Bag, Rupam Barman
semanticscholar +1 more source
Generalized Twisted Kloosterman Sum Over ℤ[i]
Ukrainian Mathematical Journal, 2014S. Varbanets
semanticscholar +2 more sources
New estimate for a Kloosterman sum with primes for a composite modulus
, 2018M. A. Korolev
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On the fourth power mean of the analogous general Kloosterman sum
, 2016Hui Chen, Tianping Zhang
semanticscholar +1 more source
3-Designs from the Z4-Goethals Codes via a New Kloosterman Sum Identity
Des. Codes Cryptogr., 2003Dong-joon Shin +2 more
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Modular hyperbolas and bilinear forms of Kloosterman sums
Journal of Number Theory, 2021I D Shkredov
exaly
An improved estimate of the fourth power mean of the general $3$-dimensional Kloosterman sum mod $p$
Functiones Et Approximatio, Commentarii Mathematici, 2021Nilanjan Bag, Rupam Barman
exaly