Results 121 to 130 of about 8,006 (148)

Kloosterman Sums and their Applications: A Review

Results in Mathematics, 1996
This paper lists results, and explains some concepts and results, in the areas of automorphic forms (holomorphic as well as real analytic ones) for cofinite discrete groups of motions in the upper half plane, Kloosterman sums, Hecke operators, Selberg trace formula, Kuznetsov sum formula, representation of \(SL_2\) over the adeles.
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On Kloosterman Sums with Oscillating Coefficients

Canadian Mathematical Bulletin, 1999
AbstractIn this paper we prove: for any positive integers a and q with (a, q) = 1, we have uniformlyThis improves the previous bound obtained by D. Hajela, A. Pollington and B. Smith [5].
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A note on the moments of Kloosterman sums

Applicable Algebra in Engineering, Communication and Computing, 2009
This paper considers several types of Kloosterman sums and proves identities between such sums. Three main types are considered: Kloosterman sums \(K_n(a)\) of degree \(n\), \(m\)-dimensional Kloosterman sums \(K^{(m)}(a)\), and \(m\)-dimensional Kloosterman sums \(K_n^{(m)}(a)\) of degree \(n\). In order to define these, we recall some notation: \(p\)
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On a generalization of Kloosterman sums

Mathematical Notes, 2015
For 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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Eighth power moment of Kloosterman sum, supercharacters, and elliptic curves

Ramanujan Journal, 2021
Gautam Kalita
exaly  

Modular hyperbolas and bilinear forms of Kloosterman sums

Journal of Number Theory, 2021
Ilya 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, 2021
Nilanjan Bag, Rupam Barman
exaly  

A new Kloosterman sum identity over F2m for odd m

Discrete Mathematics, 2003
Dong-Joon Shin
exaly  

AN ESTIMATION OF KLOOSTERMAN SUMS

Mathematics of the USSR-Izvestiya, 1971
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Kloosterman sum identities over F2m

Discrete Mathematics, 2004
Henk D L Hollmann, Qing Xiang
exaly