Results 101 to 110 of about 146 (124)

Fourth power mean values of generalized Kloosterman sums

Functiones Et Approximatio, Commentarii Mathematici
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Nilanjan Bag
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Identities of general Kloosterman sums

International Journal of Number Theory, 2023
Let [Formula: see text] be any integers with [Formula: see text], and [Formula: see text] be a Dirichlet character modulo [Formula: see text]. The general Kloosterman sums [Formula: see text] are defined as follows: [Formula: see text] where [Formula: see text], and [Formula: see text] denotes the multiplicative inverse of [Formula: see text] modulo ...
Xiaoge Liu, Tianping Zhang
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A generalization of power moments of Kloosterman sums

Archiv der Mathematik, 2007
We find an expression for a sum which can be viewed as a generalization of power moments of Kloosterman sums studied by Kloosterman and Salie.
Hi-Joon Chae, Dae San Kim
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Bounds on bilinear sums of generalized Kloosterman sums over arbitrary sets

Journal of Number Theory
Sen Xu, Tianping Zhang
exaly   +2 more sources

On the General Kloosterman Sums

Journal of Mathematical Sciences, 2005
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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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Generalized Kloosterman sum with primes

Proceedings of the Steklov Institute of Mathematics, 2017
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Newton polygons of L-functions for two-variable generalized Kloosterman sums

International Journal of Number Theory, 2023
In this paper, we study the Newton polygon of the [Formula: see text]-function of a generalized Kloosterman polynomial with two variables over finite fields. We give the explicit form of the monomial basis of the top dimensional cohomology space of the [Formula: see text]-adic complex associated to the [Formula: see text]-function.
Wang, Chunlin, Yang, Liping
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Summation formulas for general Kloosterman sums

Journal of Soviet Mathematics, 1982
N. V. Kuznetsov's summation formula is generalized to the case of a discrete subgroup G⊂SL2(ℝ) and a system of multiplicators χ, satisfying certain not too restrictive conditions. In the arithmetic cases, when G is a congruence-subgroup in SL2(ℤ), these conditions are satisfied. N. V. Kuznetsov's formula has been proved for the case G=SL2(ℤ)., χ=1.
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Symmetric power 𝐿-functions for families of generalized Kloosterman sums

Transactions of the American Mathematical Society, 2016
We construct relative p p -adic cohomology for a family of toric exponential sums fibered over the torus.
Haessig, C. Douglas, Sperber, Steven
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