Results 1 to 10 of about 80,582 (94)
IGUSA’S CONJECTURE FOR EXPONENTIAL SUMS: OPTIMAL ESTIMATES FOR NONRATIONAL SINGULARITIES [PDF]
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 ...
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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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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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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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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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Estimates for multiple exponential sums [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1982 AbstractWe give estimates for exponential sums of the shape , where F is a polynomial with interger coefficient and each component of (x1,…, xn) in the sum runs through a complete set of residues modulo q.
Loxton, John H., Smith, Robert A.
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Model Order Estimation for A Sum of Complex Exponentials
CoRR, 2021 In this paper, we present a new method for estimating the number of terms in a sum of exponentially damped sinusoids embedded in noise. In particular, we propose to combine the shift-invariance property of the Hankel matrix associated with the signal with a constraint over its singular values to penalize small order estimations.
Raymundo Albert, Cecilia G. Galarza
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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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Estimates for exponential sums [PDF]
Proceedings of the American Mathematical Society, 1980 If f is a polynomial over Z of degree n + 1 n + 1 with n ⩾ 1 n \geqslant 1 , then for each integer q ⩾ 1 , | Σ 1 ⩽ x ⩽
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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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