Results 41 to 50 of about 51,880 (308)
Free Convolution and the Random Sum of Matrices
Publications of the Research Institute for Mathematical Sciences, 1993 We show that the spectral measure of the sum of two selfadjoint matrices is 'almost surely' given by the free convolution (in the sense of Voiculescu) of the spectral measures of the two matrices if their size tends to infinity.
Roland Speicher
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On moments of twisted $L$-functions [PDF]
, 2016 We study the average of the product of the central values of two $L$-functions of modular forms $f$ and $g$ twisted by Dirichlet characters to a large prime modulus $q$.
Blomer, Valentin +4 more
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Subclasses of Noshiro-Type Starlike Harmonic Functions Involving q-Srivastava–Attiya Operator
Mathematics, 2023 In this paper, the harmonic function related to the q-Srivastava–Attiya operator is described to introduce a new class of complex harmonic functions that are orientation-preserving and univalent in the open-unit disk. We also cover some important aspects
Gangadharan Murugusundaramoorthy +3 more
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Estimates for character sums with various convolutions [PDF]
Acta Arithmetica, 2017 We provide estimates for sums of the form \[\left|\sum_{a\in A}\sum_{b\in B}\sum_{c\in C} (a+b+c)\right|\] and \[\left|\sum_{a\in A}\sum_{b\in B}\sum_{c\in C}\sum_{d\in D} (a+b+cd)\right|\] when $A,B,C,D\subset \mathbb F_p$, the field with $p$ elements and $ $ is a non-trivial multiplicative character modulo $p$.
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A Convolution Approach on Partial Sums of Certain Harmonic Univalent Functions
International Journal of Mathematics and Mathematical Sciences, 2012 The purpose of the present paper is to establish some new results giving the sharp bounds of the real parts of ratios of harmonic univalent functions to their sequences of partial sums by using convolution.
Saurabh Porwal
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On a shifted convolution sum problem
Journal of Number Theory, 2022 Abstract Let f be a holomorphic newform of prime level p and trivial nebentypus. For p 1 + e ≪ M ≪ p 3 − e , and 0 | u | ≪ M / p we prove that ∑ m = 1 ∞ λ f ( m ) λ f ( m + p u ) F ( m M ) ≪ p 1 / 4 + e M 3 / 4 where F is a ...
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Abstract and Applied Analysis, 2013 We investigate the tailed asymptotic behavior of the randomly weighted sums with increments with convolution-equivalent distributions. Our obtained result can be directly applied to a discrete-time insurance risk model with insurance and financial risks ...
Yang Yang, Jun-feng Liu, Yu-lin Zhang
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IEEE Open Journal of the Solid-State Circuits Society, 2022 Due to the low-power priority of analog delay-based computation, time-domain computing-in-memory (TD-CIM) presents a splendid potential for energy-constrained edge and IoT scenarios deploying convolutional neural networks (CNNs).
Jianxun Yang +8 more
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Approximation on the sphere by weighted Fourier expansions
Journal of Applied Mathematics, 2005 The main theme of this paper is the approximation on the sphere by weighted sums of spherical harmonics. We give necessary and sufficient conditions on the weights for convergence in both the continuous and the LP cases.
V. A. Menegatto, A. C. Piantella
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Some Upper Bounds for RKHS Approximation by Bessel Functions
Axioms, 2022 A reproducing kernel Hilbert space (RKHS) approximation problem arising from learning theory is investigated. Some K-functionals and moduli of smoothness with respect to RKHSs are defined with Fourier–Bessel series and Fourier–Bessel transforms ...
Mingdang Tian +2 more
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