Results 1 to 10 of about 23,859 (259)
On an asymptotic formula for the niven numbers [PDF]
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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An asymptotic formula of cosine power sums
In the paper, the authors find several accurate approximations of some cosine power sums and present an asymptotic formula for these cosine power sums.
Mircea Merca, Tanfer Tanriverdi
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Asymptotic Formula for Noncentral F-Distribution [PDF]
The method of small parameter is used to obtain a new representation for the distribution of the variance ratio when the Null-Hypothesis is not true. Although the new formula is supposed to be valid only when λ(the non-centrality parameter) is large, yet
A.H. Taha, K.E. El-Nadi
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Consistency and Asymptotic Normality of the Maximum Likelihood Estimator in
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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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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Orthogonal Polynomials With a Semi-Classical Weight and Their Recurrence Coefficients
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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Asymptotic Separation of Solutions to Fractional Stochastic Multi-Term Differential Equations
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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Weak gravity bounds in asymptotic string compactifications
We study the charge-to-mass ratios of BPS states in four-dimensional N $$ \mathcal{N} $$ = 2 supergravities arising from Calabi-Yau threefold compactifications of Type IIB string theory.
Brice Bastian +2 more
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A new handle on three-point coefficients: OPE asymptotics from genus two modular invariance
We derive an asymptotic formula for operator product expansion coefficients of heavy operators in two dimensional conformal field theory. This follows from modular invariance of the genus two partition function, and generalises the asymptotic formula for
John Cardy +2 more
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Vinogradov's mean value theorem via efficient congruencing [PDF]
We obtain estimates for Vinogradov's integral that for the first time approach those conjectured to be the best possible. Several applications of these new bounds are provided.
Wooley, Trevor D., Trevor D. Wooley
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