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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 ...
Joe Kramer-Miller
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On the exponential sums estimates related to Fourier coefficients of GL3 Hecke-Maaß forms
AIMS Mathematics, 2023 Let $ F $ be a normlized Hecke-Maaß form for the congruent subgroup $ \Gamma_0(N) $ with trivial nebentypus. In this paper, we study the problem of the level aspect estimates for the exponential sum $ \mathscr{L}_F(\alpha) = \sum\limits_{n\le X} A_F(n,
Fei Hou
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Bounds for the Rate of Convergence in the Generalized Rényi Theorem
Mathematics, 2022 In the paper, an overview is presented of the results on the convergence rate bounds in limit theorems concerning geometric random sums and their generalizations to mixed Poisson random sums, including the case where the mixing law is itself a mixed ...
Victor Korolev
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Binary sequences and lattices constructed by discrete logarithms
AIMS Mathematics, 2022 In 1997, Mauduit and Sárközy first introduced the measures of pseudorandomness for binary sequences. Since then, many pseudorandom binary sequences have been constructed and studied. In particular, Gyarmati presented a large family of pseudorandom binary
Yuchan Qi, Huaning Liu
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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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