Kloosterman sums
On the identity involving certain Hardy sums and Kloosterman sums
... Gauss sums and the mean value theorem of Dirichlet L-functions, to study a hybrid mean value problem involving certain Hardy sums and Kloosterman sums and give two exact computational formulae ...
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A sum analogous to the high dimensional Kloosterman sums and its upper bound estimate
... Gauss sums and the estimate for the generalized exponential sums, to study the upper bound estimate problem of one kind sums analogous to the high-dimensional Kloosterman sums and to ...
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A hybrid mean value involving a new sum and Kloosterman sums
... Cochrane sums, and use elementary and analytic methods to study the hybrid mean value problem involving this sum and Kloosterman sums, and we give an interesting asymptotic formula for ...
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Norm Kloosterman sums over \(\mathbb{Z}[i]\)
... tained with a distribution of arithmetic functions on the arithmetic pro- gressions (see, [5], [6] and etc.). The sums of the Kloosterman sums studied in the works N.V. Kuznetsov [12], H. Iwaniec and ...
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A new class of hyper-bent functions and Kloosterman sums
... [12] J. Flori and S. Mesnager. Dickson polynomials, hyperelliptic curves and hyper-bent functions. To be published in the proceedings of SETA 2012, 2012. [13] J. Flori, S. Mesnager, and G. Cohen,”The value 4 of binary ...
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An hybrid mean value of quadratic Gauss sums and a sum analogous to Kloosterman sums
... character sums, to study the computational problem of one kind of hybrid mean value involving the quadratic Gauss sums and a new sum analogous to Kloosterman sums, and to give an interesting ...
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Recursive formulas generating power moments of multi-dimensional Kloosterman sums and \(m\)-multiple power moments of Kloosterman sums
... multi-dimensional Kloosterman sums and the m-multiple power moments of Kloosterman sums in terms of the frequencies of weights in the respective ...dimensional Kloosterman sums, ...
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On the fourth power mean of the general k th Kloosterman sums
... Guo et al Advances in Difference Equations 2014, 2014 103 http //www advancesindifferenceequations com/content/2014/1/103 R ES EARCH Open Access On the fourth power mean of the general kth Kloosterman[.] ...
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Constructing hyper-bent functions from Boolean functions with the Walsh spectrum taking the same value twice
... Abstract Hyper-bent functions as a subclass of bent functions attract much interest and it is elusive to completely characterize hyper-bent functions. Most of known hyper-bent functions are Boolean functions with Dillon ...
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Upper bound estimate of character sums over Lehmer’s numbers
... of Kloosterman sums to study the estimate problem of the mean value a∈A χ (a), and give a sharp upper bound estimate for it, where χ denotes any non-principal even character mod ...
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On general partial Gaussian sums
... where k ≥ is an arbitrary fixed integer. For the sake of periodicity of e( na q ) we can also restrict n to be ≤ n ≤ q. Then with the aid of the estimates for the general Kloosterman sums and the ...
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Lattices of partial sums
... partial sums posets includes, as particular cases, the classical Young lattice Y of all the the integer partitions ordered by means of the inclusion of the corresponding Young diagrams, and other sublattices of ...
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The hybrid power mean of the quartic Gauss sums and the two term exponential sums
... Gauss sums to study the computational problems of one kind hybrid power mean of quartic Gauss sums and two-term exponential sums, and give an interesting fourth-order linear recurrence formula for ...
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SUMS OF THE POWERS OF RECIPROCALS OF POLYGONAL NUMBERS
... The sums of the reciprocals of polygonal numbers has been obtained by other authors, ...finite sums using Harmonic numbers and related functions (generalized Harmonic numbers, generalized Harmonic function ...
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6. On $L_{1}$ convergence of certain cosine sums
... authors introduced modified trigonometric sums as these sums approximate their limits better than the classical trigonometric series in the sense that they converge in L 1 -metric to the[r] ...
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The moment of maximum normed randomly weighted sums of martingale differences
... By using some inequalities and properties of martingale differences, we investigate the moment of maximum normed randomly weighted sums of martingale differences under some weakly conditions. A sufficient condition to ...
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Dinh
... Abstract: Cyclic codes are an interesting type of linear codes and have wide applications in communication and storage systems due to their efficient encoding and decoding algorithms. In coding theory it is often ...
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Berliner Kulturpolitik in interntional vergleichender Perspektive
... für die Daten: Regierender Bürgermeister, 2011, Skórska & Kloosterman, 2012, Mayor of London, 2013b, SenWTF, 2014, Amt für Statistik Berlin-Brandenburg, 2015, Senatskanzlei, 2015f, Visit[r] ...
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λ designs and related combinatorial configurations
... Since A is a /...-design with respect to rows and columns, constant row and column sums, x, given by :... to have column sums.[r] ...
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Oscillatory sums
... oscillatory sums: max elem denotes the element of maximal absolute value, ∆ max elem the difference between the abslolute values of the latter and the next smaller one, taken at n = ...
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