Results 11 to 20 of about 1,582,878 (315)
CONVOLUTION SUMS INVOLVING THE DIVISOR FUNCTION [PDF]
Proceedings of the Edinburgh Mathematical Society, 2004 AbstractThe series\begin{alignat*}{2} L_{r,4}(q)\amp=\sum_{n=0}^\infty\sigma(4n+r)q^{4n+r},\amp\quad r\amp=0,1,2,3, \\ M_{r,4}(q)\amp=\sum_{n=0}^\infty\sigma_3(4n+r)q^{4n+r},\amp\quad r\amp=0,1,2,3, \\ N_{r,4}(q)\amp=\sum_{n=0}^\infty\sigma_5(4n+r)q^{4n+r},\amp\quad r\amp=0,1,2,3, \end{alignat*}are evaluated and used to prove convolution formulae such ...
Cheng, Nathalie, Williams, Kenneth S.
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Computation of the Distribution of the Sum of Independent Negative Binomial Random Variables
Mathematical and Computational Applications, 2023 The distribution of the sum of negative binomial random variables has a special role in insurance mathematics, actuarial sciences, and ecology. Two methods to estimate this distribution have been published: a finite-sum exact expression and a series ...
Marc Girondot, Jon Barry
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On certain kernel functions and shifted convolution sums of the Fourier coefficients [PDF]
Journal of Number Theory, 2023 We study the behavior of the shifted convolution sum involving fourth power of the Fourier coefficients of holomorphic cusp forms with a weight function to be the $k$-full kernel function for any fixed integer $k\geq2$.
K. Venkatasubbareddy +1 more
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A Novel Hybrid Algorithm for Transient Near-Field Scattering from Rough Surface in 2-D Case
International Journal of Antennas and Propagation, 2021 A novel hybrid algorithm is proposed to reduce the computation cost of the finite-difference time-domain (FDTD) method in calculating the transient near-field scattering from rough surface.
Wei Tian, Bing Wei, Qian Yang
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Urban Remote Sensing Scene Recognition Based on Lightweight Convolution Neural Network
IEEE Access, 2021 The use rate of urban land is a significant sign to evaluate urban construction, and scene recognition has important application value in improving urban land use rate. In this paper, a new lightweight model based on VGG16 is proposed to extract distinct
Jingming Xia, Yue Ding, Ling Tan
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Regularly varying probability densities [PDF]
, 2006 The convolution of regularly varying probability densities is proved asymptotic to their sum, and hence is also regularly varying.
Bingham, N. H. +2 more
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On Minimizing Tardy Processing Time, Max-Min Skewed Convolution, and Triangular Structured ILPs [PDF]
ACM-SIAM Symposium on Discrete Algorithms, 2022 The starting point of this paper is the problem of scheduling $n$ jobs with processing times and due dates on a single machine so as to minimize the total processing time of tardy jobs, i.e., $1||\sum p_j U_j$. This problem was identified by Bringmann et
Kim-Manuel Klein +2 more
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Lietuvos Matematikos Rinkinys, 2019 It is assumed that linear time-invariant (LTI) system input signal samples are updated by a sensor in real time. It is urgent for every new input sample or for small part of new samples to update an ordinary convolution as well.
Rimantas Pupeikis
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EFFICIENT LINE DETECTION METHOD BASED ON 2D CONVOLUTION FILTER
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 2021 The article proposes an efficient line detection method using a 2D convolution filter. The proposed method was compared with the Hough transform, the most popular method of straight lines detection. The developed method is suitable for local detection of
Paweł Kowalski, Piotr Tojza
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Evaluation of the convolution sums ∑al+bm=n lσ(l) σ(m) with ab ≤ 9
Open Mathematics, 2017 The generating functions of divisor functions are quasimodular forms of weight 2 and their products belong to a space of quasimodular forms of higher weight.
Park Yoon Kyung
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