Results 11 to 20 of about 1,959,412 (322)
An Asymptotic Formula for a Trigonometric Sum of Vinogradov
Journal of Number Theory, 2001 We obtain a representation formula for the trigonometric sum f(m, n)≔ ∑m−1a=1 |sin(πan/m)|sin(πa/m) and deduce from it the upper bound f(m, n)
Todd Cochrane, J. C. Peral
semanticscholar +2 more sources
Asymptotic formula on average path length of fractal networks modelled on Sierpinski Gasket [PDF]
, 2015 In this paper, we introduce a new method to construct evolving networks based on the construction of the Sierpinski gasket. Using self-similarity and renewal theorem, we obtain the asymptotic formula for average path length of our evolving networks.
Fei Gao, Anbo Le, Lifeng Xi, Shuhua Yin
semanticscholar +1 more source
Weak gravity bounds in asymptotic string compactifications
Journal of High Energy Physics, 2021 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
doaj +1 more source
An asymptotic formula for the zeros of the deformed exponential function [PDF]
, 2015 We study the asymptotic representation for the zeros of the deformed exponential function $\sum\nolimits_{n = 0}^\infty {\frac1{n!}{q^{n(n - 1)/2}{x^n}}} $, $q\in (0,1)$. Indeed, we obtain an asymptotic formula for these zeros: \[x_n=- nq^{1-n}(1 + g(q)n^
Cheng Zhang
semanticscholar +1 more source
A remark on Mirzakhani’s asymptotic formulae [PDF]
Asian Journal of Mathematics, 2014 11 ...
Liu, Kefeng, Xu, Hao
openaire +3 more sources
An Asymptotic Formula for the Commutators
Journal of Functional Analysis, 1998 The main aim of this paper is to prove two asymptotic formulas which unify several ``Taylor type formulas'', defined in the context of commutators and analytic functional calculi. For the sake of simplicity, we shall present only the particular case of bounded linear operators acting in the same Banach space, although the authors' framework is slightly
Beltita, Daniel, Sabac, Mihai
openaire +1 more source
A NUMBER THEORETIC FUNCTION AND ITS MEAN VALUE PROPERTY [PDF]
, 1993 Studying the asymptotic properties of a mean value, and giving an interesting asymptotic formula for ...
HONGYAN, L., WENPENG, ZHANG
core +1 more source
Mode identification in rapidly rotating stars [PDF]
, 2009 Context: Recent calculations of pulsation modes in rapidly rotating polytropic models and models based on the Self-Consistent Field method have shown that the frequency spectrum of low degree pulsation modes can be described by an empirical formula ...
A. Skumanich +29 more
core +2 more sources
Journal of Number Theory, 1989 Let \(R_ 0,R_ 1,R_ 2,..\). be a nondegenerate binary linear recurrence of integers defined by \(R_ n=AR_{n-1}+BR_{n-2}\) \((n>1)\), where \(R_ 0\), \(R_ 1=1,and\) A, B are fixed nonzero integers. It is proved that \[ \sqrt{\frac{6\cdot \log | R_ 1\cdot R_ 2\cdot \cdot \cdot R_ N|}{\log [R_ 1,R_ 2,...,R_ N]}}\quad =\quad \pi +O(\frac{1}{\log N}) \] for ...
Kiss, Péter, Mátyás, Ferenc
openaire +1 more source
Asymptotics on a Class of Legendre Formulas
The American Mathematical Monthly, 2022 15 pages, 2 ...
openaire +2 more sources