On an asymptotic formula for the niven numbers
International Journal of Mathematics and Mathematical Sciences, 1985 A Niven number is a positive integer which is divisible by its digital sum. A discussion of the possibility of an asymptotic formula for N(x) is given. Here, N(x) denotes the nmber of Niven numbers less than x. A partial result will be presented.
Curtis N. Cooper, Robert E. Kennedy
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Breakdown of homoclinic orbits to L3 in the RPC3BP (II). An asymptotic formula [PDF]
Advances in Mathematics, 2021 The Restricted 3-Body Problem models the motion of a body of negligible mass under the gravitational influence of two massive bodies called the primaries.
Inmaculada Baldom'a +2 more
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Consistency and Asymptotic Normality of the Maximum Likelihood Estimator in
IEEE Access, 2022 The Gamma distribution based generalized linear model ( $Ga$ GLM) is a kind of statistical model feasible for the positive value of a non-stationary stochastic system, in which the location and the scale are regressed by the corresponding explanatory ...
Benchao Wang, Pan Qin, Hong Gu
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An asymptotic formula for integer points on Markoff-Hurwitz varieties [PDF]
Annals of Mathematics, 2016 We establish an asymptotic formula for the number of integer solutions to the Markoff-Hurwitz equation x21+x22+⋯+x2n=ax1x2⋯xn+k. When n≥4, the previous best result is by Baragar (1998) that gives an exponential rate of growth with exponent β that is ...
Alex Gamburd, Michael Magee, Ryan Ronan
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Mathematics, 2022 For the purpose of solving a second-order singularly perturbed problem (SPP) with variable coefficients, a mth-order asymptotic-numerical method was developed, which decomposes the solutions into two independent sub-problems: a reduced first-order linear
Chein-Shan Liu +2 more
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An asymptotic formula for the number of irreducible transformation shift registers [PDF]
arXiv.org, 2015 We consider the problem of enumerating irreducible transformation shift registers. We give an asymptotic formula for the number of irreducible transformation shift registers in some special cases. Moreover, we derive a short proof for the exact number of
S. Cohen +3 more
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Orthogonal Polynomials With a Semi-Classical Weight and Their Recurrence Coefficients
IEEE Access, 2020 Focusing on the weight function $\omega (x,t)=x^{\alpha }e^{-\frac {1}{3}x^{3}+tx}, x\in [0,\infty),\,\,\,\,\alpha >-1,\,\,\,\,t> 0$ , we state its asymptotic orthogonal polynomials.
Dan Wang, Mengkun Zhu, Yang Chen
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On the use of Hahn's asymptotic formula and stabilized recurrence for a fast, simple, and stable Chebyshev--Jacobi transform [PDF]
, 2016 We describe a fast, simple, and stable transform of Chebyshev expansion coefficients to Jacobi expansion coefficients and its inverse based on the numerical evaluation of Jacobi expansions at the Chebyshev--Lobatto points.
R. Slevinsky
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Asymptotic Separation of Solutions to Fractional Stochastic Multi-Term Differential Equations
Fractal and Fractional, 2021 In this paper, we study the exact asymptotic separation rate of two distinct solutions of Caputo stochastic multi-term differential equations (Caputo SMTDEs).
Arzu Ahmadova, Nazim I. Mahmudov
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A uniform asymptotic formula for the second moment of primitive L-functions on the critical line [PDF]
, 2016 We prove an asymptotic formula for the second moment of primitive L-functions of even weight and prime power level. The error term is estimated uniformly in all parameters: level, weight, shift, and twist.
O. Balkanova, D. Frolenkov
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