Results 11 to 20 of about 84,258 (216)
p-adic estimates of exponential sums on curves [PDF]
Algebra & Number Theory, 2021 The purpose of this article is to prove a ``Newton over Hodge'' result for exponential sums on curves. Let $X$ be a smooth proper curve over a finite field $\mathbb{F}_q$ of characteristic $p\geq 3$ and let $V \subset X$ be an affine curve. For a regular function $\overline{f}$ on $V$, we may form the $L$-function $L(\overline{f},V,s)$ associated to ...
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The Bombieri-Vinogradov theorem for nilsequences
Discrete Analysis, 2021 The Bombieri-Vinogradov theorem for nilsequences, Discrete Analysis 2021:21, 55 pp. The prime number theorem asserts that the density of the primes in the vicinity of a large integer $n$ is approximately $1/\log n$, or equivalently that the number of ...
Xuancheng Shao, Joni Teräväinen
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On the estimation of certain exponential sums [PDF]
Acta Arithmetica, 1995 Let \(k\) be a finite field with \(q\) elements, and let \(K\) be an extension of degree \(n\). Let \(V\) be a quasi-projective variety defined over \(k\), and let \(f\) be a rational function on \(V\), defined over \(k\), and such that \(f\) is defined everywhere on \(V\) and has no poles on \(V\).
Bombieri, E., Sperber, S.
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Estimations on some hybrid exponential sums related to Kloosterman sums
TURKISH JOURNAL OF MATHEMATICS, 2021 Summary: In this paper, we revisit the bounds of the mixed exponential sums introduced by \textit{X. X. Lv} and \textit{W. P. Zhang} [Acta Math. Sin., Engl. Ser. 36, No. 2, 196--206 (2020; Zbl 1472.11220)]. Moreover, we give some estimations for some new hybrid exponential sums related to Kloosterman sums over finite fields of odd characteristic by ...
Yingjie CHENG +3 more
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Mathematics, 2020 We introduce a generalized stationary renewal distribution (also called the equilibrium transform) for arbitrary distributions with finite nonzero first moment and study its properties.
Irina Shevtsova, Mikhail Tselishchev
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On an estimate of a certain non-linear exponential sum
Indian Journal of Pure and Applied Mathematics, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
C. G. Karthick Babu, A. Sankaranarayanan
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On the Estimation of Parameter of Weighted Sums of Exponential Distribution [PDF]
Chinese Journal of Mathematics, 2014 The random variable Zn,α=Y1+2αY2+⋯+nαYn, with α∈ℝ and Y1,Y2,… being independent exponentially distributed random variables with mean one, is considered. Van Leeuwaarden and Temme (2011) attempted to determine good approximation of the distribution of Zn,α.
Abbasi, N., Namju, A., Safari, N.
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IGUSA’S CONJECTURE FOR EXPONENTIAL SUMS: OPTIMAL ESTIMATES FOR NONRATIONAL SINGULARITIES
Forum of Mathematics, Pi, 2019 We prove an upper bound on the log canonical threshold of a hypersurface that satisfies a certain power condition and use it to prove several generalizations of Igusa’s conjecture on exponential sums, with the log canonical threshold in the exponent of ...
RAF CLUCKERS +2 more
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On the Waring--Goldbach problem for eighth and higher powers [PDF]
, 2015 Recent progress on Vinogradov's mean value theorem has resulted in improved estimates for exponential sums of Weyl type. We apply these new estimates to obtain sharper bounds for the function $H(k)$ in the Waring--Goldbach problem.
Angel V. Kumchev, D. Wooley, Trevor
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Dependence of accuracy of ESPRIT estimates on signal eigenvalues: the case of a noisy sum of two real exponentials [PDF]
PAMM, 2008 AbstractThis paper is devoted to estimation of parameters for a noisy sum of two real exponential functions. Singular Spectrum Analysis is used to extract the signal subspace and then the ESPRIT method exploiting signal subspace features is applied to obtain estimates of the desired exponential rates.
Theodore, Alexandrov +2 more
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