Results 31 to 40 of about 1,210,874 (307)
Convolution formula for the sums of generalized Dirichlet L-functions
, 2017 Using the Kuznetsov trace formula, we prove a spectral decomposition for the sums of generalized Dirichlet $L$-functions. Among applications are an explicit formula relating norms of prime geodesics to moments of symmetric square $L$-functions and an ...
Olga Balkanova, Dmitry Frolenkov
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Certain Class of Analytic Functions Connected with q-Analogue of the Bessel Function
Journal of Mathematics, 2021 The focus of this article is the introduction of a new subclass of analytic functions involving q-analogue of the Bessel function and obtained coefficient inequities, growth and distortion properties, radii of close-to-convexity, and starlikeness, as ...
Nazek Alessa +5 more
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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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Efficient Sum-Check Protocol for Convolution [PDF]
IEEE Access, 2021 Many applications have recently adopted machine learning and deep learning techniques. Convolutional neural networks (CNNs) are made up of sequential operations including activation, pooling, convolution, and fully connected layer, and their computation cost is enormous, with convolution and fully connected layer dominating.
Chanyang Ju +4 more
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On predictors for band-limited and high-frequency time series [PDF]
, 2012 Pathwise predictability and predictors for discrete time processes are studied in deterministic setting. It is suggested to approximate convolution sums over future times by convolution sums over past time. It is shown that all band-limited processes are
Dokuchaev +10 more
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Some Geometrical Results Associated with Secant Hyperbolic Functions
Mathematics, 2022 In this paper, we examine the differential subordination implication related with the Janowski and secant hyperbolic functions. Furthermore, we explore a few results, for example, the necessary and sufficient condition in light of the convolution concept,
Isra Al-Shbeil +4 more
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Arithmetic properties derived from coefficients of certain eta quotients
Journal of Inequalities and Applications, 2020 For a positive integer k, let F ( q ) k : = ∏ n ≥ 1 ( 1 − q n ) 4 k ( 1 + q 2 n ) 2 k = ∑ n ≥ 0 a k ( n ) q n $$ F (q)^{k}:= \prod_{n \geq 1} \frac{(1-q^{n})^{4k}}{(1+q^{2n})^{2k}} = \sum_{n\geq 0} \frak{a}_{k} (n)q^{n} $$ be the eta quotients.
Jihyun Hwang, Yan Li, Daeyeoul Kim
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Some applications of q-difference operator involving a family of meromorphic harmonic functions
Advances in Difference Equations, 2021 In this paper, we establish certain new subclasses of meromorphic harmonic functions using the principles of q-derivative operator. We obtain new criteria of sense preserving and univalency.
Neelam Khan +4 more
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Iterated Binomial Sums and their Associated Iterated Integrals [PDF]
, 2014 We consider finite iterated generalized harmonic sums weighted by the binomial $\binom{2k}{k}$ in numerators and denominators. A large class of these functions emerges in the calculation of massive Feynman diagrams with local operator insertions starting
't Hooft G. +20 more
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Estimation of sums of random variables: Examples and information bounds [PDF]
, 2005 This paper concerns the estimation of sums of functions of observable and unobservable variables. Lower bounds for the asymptotic variance and a convolution theorem are derived in general finite- and infinite-dimensional models.
Zhang, Cun-Hui
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