Results 241 to 250 of about 4,354 (265)

Lp norm local estimates for exponential sums

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 2000
The authors announce the proof of the following theorem: For every real number \(p>1\) there is an explicitly computable constant \(K_p> 0\) such that, for any arc \(J\) of the one-dimensional torus \(\mathbb{T}= \mathbb{R}/\mathbb{Z}\) with \(|J|> 0\), no matter how small, one can find some exponential sum \(f(x)= \sum_{k=1}^m \exp(2i\pi N_kx)\) (the \
Anderson, Bruce, Ash, J. Marshall, Jones, Roger L., Rider, Daniel G., Saffari, Bahman   +4 more
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Glottal source estimation using a sum of exponentials model

The Journal of the Acoustical Society of America, 1989
This paper describes an algorithm for simultaneously estimating the parameters of a model for the glottal source and the vocal tract filter. The glottal source signal is described by t.he four-parameter LF model [Fant et al., Speech Transmis. Lab. Q. Prog. Stat. Rep. (1984)].
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Estimate for exponential sums and its applications

Frontiers of Mathematics in China, 2012
Let \(f_{k}(n)\) be the characteristic function of \(n\) with \(\Omega(n)=k\), and \[ T_{k}(x,\alpha)=\sum_{n\leq x}f_{k}(n)e(n\alpha). \] Write \[ r(N)=\#\{N=f_{k}(n_{1})n_{1}+f_{k}(n_{2})n_{2}+f_{k}(n_{3})n_{3}\}. \] The author obtains the following result: Let \(k\leq (\log\log N)^{1-\Delta}\), then \[ r(N)=\frac{1}{2}N^{2}\mathfrak{S}(N)(\frac ...
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On Hua's Estimate for Exponential Sums

Journal of the London Mathematical Society, 1982
Loxton, John H., Smith, Robert A.
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Exponential estimates for distributions of sums of independent random fields

Siberian Mathematical Journal, 1985
See the review in Zbl 0566.60026.
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Estimates on exponential sums related to the Diffie–Hellman Distributions

GAFA Geometric And Functional Analysis, 2005
This important paper investigates the structure of sets in \( \mathbb F_p \) and \( \mathbb F_p \times \mathbb F_p \) with small product set, where ``small'' is meant in the not too restrictive sense \(| H \cdot H| < | H| ^{1+\tau }\) with a suitably small \(\tau \).
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Exponential Sums over Finite Fields

Journal of Systems Science and Complexity, 2021
Daqing Wan, Wan Daqing
exaly  

On the estimates of double exponential sums

Acta Arithmetica, 2007
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On van der Corput’s k-th derivative test for exponential sums

Indagationes Mathematicae, 2016
Olivier Robert
exaly  

The Erdös–Falconer Distance Problem, Exponential Sums, and Fourier Analytic Approach to Incidence Theorems in Vector Spaces over Finite Fields

SIAM Journal on Discrete Mathematics, 2009
Alex Iosevich
exaly