Results 11 to 20 of about 786,873 (284)
Large Deviations for Hawkes Processes with Randomized Baseline Intensity
Mathematics, 2023 The Hawkes process, which is generally defined for the continuous-time setting, can be described as a self-exciting simple point process with a clustering effect, whose jump rate depends on its entire history.
Youngsoo Seol
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The Ronkin number of an exponential sum [PDF]
, 2010 We give an intrinsic estimate of the number of connected components of the complementary set to the amoeba of an exponential sum with real spectrum improving the result of Forsberg, Passare and Tsikh in the polynomial case and that of Ronkin in the ...
Fabiano +7 more
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On Some Exponential Sums [PDF]
Proceedings of the National Academy of Sciences, 1948 Verf. entwickelt den Zusammenhang zwischen zyklischen algebraischen Kongruenzfunktionen\-körpern einerseits und Charakter- bzw. Exponentialsummen andrerseits. Seiner einleitenden Bemerkung, daß er eine genaue Formulierung dieses Zusammenhangs in der Literatur nicht finden konnte, sei durch den Hinweis auf folgende Arbeiten begegnet: Ref. [J.
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On the bivariate Padovan polynomials matrix [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 In this paper, we intruduce the bivariate Padovan sequence we examine its various identities. We define the bivariate Padovan polynomials matrix. Then, we find the Binet formula, generating function and exponential generating function of the bivariate ...
Orhan Dişkaya +2 more
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Zeros of Exponential Sums [PDF]
Proceedings of the American Mathematical Society, 1965 1. M. Marden, The geometry of the zeros of a polynomial in a complex variable, Math. Surveys No. 3, Amer. Math. Soc., Providence, R. I., f949. 2. A. Ostrowski, Recherches sur la methode de Graeffe et les zdros des polynomes et des s6ries de Laurent, Acta Math. 72 (1940), 99-257. 3. Z.
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A note on exponential sums [PDF]
Pacific Journal of Mathematics, 1969 The paper begins with a few applications of Rédei's theorem on sums of the form \( B=\sum_{s=1}^{p-1} c_{\delta} \zeta^{s} \) where \( c_{s}= \pm 1 \) and \( \zeta \) is a primitive \( p \)-th root of unity. (See this Zbl. 29, 109.) For instance it is proved that \( |B|^{2} \equiv 0(\bmod p) \) if and only if \( B \) is a Gauss sum, i. e.
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On Tractable Exponential Sums [PDF]
, 2010 We consider the problem of evaluating certain exponential sums. These sums take the form $\sum_{x_1,...,x_n \in Z_N} e^{f(x_1,...,x_n) {2 πi / N}} $, where each x_i is summed over a ring Z_N, and f(x_1,...,x_n) is a multivariate polynomial with integer coefficients.
Jin-yi Cai +3 more
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Fourier Quasicrystals with Unit Masses
Comptes Rendus. Mathématique, 2021 The sum of $\delta $-measures sitting at the points of a discrete set $\Lambda \subset \mathbb{R}$ forms a Fourier quasicrystal if and only if $\Lambda $ is the zero set of an exponential polynomial with imaginary frequencies.
Olevskii, Alexander +1 more
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On values of exponential sums [PDF]
Proceedings of the American Mathematical Society, 1975 An exponential sum is defined by \[ G ( F , φ , α ) = ∑ γ ϵ ( Z / q Z )
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Extended Wang sum and associated products.
PLoS ONE, 2022 The Wang sum involving the exponential sums of Lerch's Zeta functions is extended to the finite sum of the Huwitz-Lerch Zeta function to derive sums and products involving cosine and tangent trigonometric functions.
Robert Reynolds, Allan Stauffer
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