Results 21 to 30 of about 1,950,938 (331)

A uniform asymptotic formula for the second moment of primitive L-functions on the critical line [PDF]

open access: yes, 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
semanticscholar   +1 more source

Asymptotic formula on average path length of fractal networks modelled on Sierpinski Gasket [PDF]

open access: yes, 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

open access: yesJournal 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]

open access: yes, 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

Asymptotics of Relativistic Spin Networks [PDF]

open access: yes, 2002
The stationary phase technique is used to calculate asymptotic formulae for SO(4) Relativistic Spin Networks. For the tetrahedral spin network this gives the square of the Ponzano-Regge asymptotic formula for the SU(2) 6j symbol.
Baez J C   +15 more
core   +2 more sources

Asymptotics of matrix integrals and tensor invariants of compact Lie groups [PDF]

open access: yes, 2008
In this paper we give an asymptotic formula for a matrix integral which plays a crucial role in the approach of Diaconis et al. to random matrix eigenvalues.
Stolz, Michael, Tate, Tatsuya
core   +2 more sources

Multigrade efficient congruencing and Vinogradov's mean value theorem [PDF]

open access: yes, 2015
We develop a multigrade enhancement of the efficient congruencing method to estimate Vinogradov's integral of degree $k$ for moments of order $2s$, thereby obtaining near-optimal estimates for $\tfrac{5}{8}k ...
Wooley, Trevor D.
core   +7 more sources

On the square-free number sequence [PDF]

open access: yes, 2005
The main purpose of this paper is to study the number of the square-free number sequence, and give two interesting asymptotic formulas for it.
Dongmei, Ren
core   +1 more source

A remark on Mirzakhani’s asymptotic formulae [PDF]

open access: yesAsian Journal of Mathematics, 2014
11 ...
Liu, Kefeng, Xu, Hao
openaire   +3 more sources

Exact and asymtotic formulas for overdamped Brownian dynamics [PDF]

open access: yes, 1996
Exact and asymptotic formulas relating to dynamical correlations for overdamped Brownian motion are obtained. These formulas include a generalization of the $f$-sum rule from the theory of quantum fluids, a formula relating the static current-current ...
B. Jancovici   +17 more
core   +1 more source

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