Results 31 to 40 of about 1,950,938 (331)

A Probabilistic Proof of an Asymptotic Formula for the Number of Labelled Regular Graphs

open access: yesEuropean journal of combinatorics (Print), 1980
Let Δ and n be natural numbers such that Δn = 2m is even and Δ ⩽ (2 log n )1/2 - 1. Then as n →, the number of labelled Δ-regular graphs on n vertices is asymptotic to e − λ − λ 2 ( 2 m ) ! m ! 2 m ( Δ ! ) m where λ = (Δ -1)/2.
B. Bollobás
semanticscholar   +1 more source

Analysis of contact Cauchy–Riemann maps III: Energy, bubbling and Fredholm theory

open access: yesBulletin of Mathematical Sciences, 2023
In [Y.-G. Oh and R. Wang, Analysis of contact Cauchy-Riemann maps I: A priori [Formula: see text] estimates and asymptotic convergence, Osaka J. Math. 55(4) (2018) 647–679; Y.-G. Oh and R.
Yong-Geun Oh
doaj   +1 more source

An asymptotic formula for π

open access: yesJournal 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

Asymptotic Formulas for Toeplitz Determinants [PDF]

open access: yesTransactions of the American Mathematical Society, 1978
The object of this paper is to find an asymptotic formula for determinants of finite dimensional Toeplitz operators generated by a class of functions with singularities. The formula is a generalization of the Strong Szegö Limit Theorem.
openaire   +2 more sources

A lower bound on the number of finite simple groups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1980
Let S(n ...
Michael E. Mays
doaj   +1 more source

A cardy formula for three-point coefficients or how the black hole got its spots

open access: yesJournal of High Energy Physics, 2017
Modular covariance of torus one-point functions constrains the three point function coefficients of a two dimensional CFT. This leads to an asymptotic formula for the average value of light-heavy-heavy three point coefficients, generalizing Cardy’s ...
Per Kraus, Alexander Maloney
doaj   +1 more source

Asymptotic Variational Formulae for Eigenvalues [PDF]

open access: yesCanadian Mathematical Bulletin, 1963
The eigenvalues of a second order self-adjoint elliptic differential operator on Riemannian n-space R will be considered. Our purpose is to obtain asymptotic variational formulae for the eigenvalues under the topological deformations of (i) removing an ɛ -cell (and adjoining an
openaire   +2 more sources

A hybrid asymptotic formula for the second moment of Rankin–Selberg L‐functions [PDF]

open access: yes, 2010
Let g be a fixed modular form of full level, and let {fj, k} be a basis of holomorphic cuspidal newforms of even weight k, fixed level and fixed primitive nebentypus.
V. Blomer, G. Harcos
semanticscholar   +1 more source

An asymptotic formula for the number of non-negative integer matrices with prescribed row and column sums [PDF]

open access: yes, 2009
We count mxn non-negative integer matrices (contingency tables) with prescribed row and column sums (margins). For a wide class of smooth margins we establish a computationally efficient asymptotic formula approximating the number of matrices within a ...
A. Barvinok, J. Hartigan
semanticscholar   +1 more source

Asymptotic formula in simultaneous approximation for certain Ismail-May-Baskakov operators

open access: yesJournal of Numerical Analysis and Approximation Theory, 2021
In the present paper, we introduce a modification of Ismail-May operators having weights of Baskakov basis functions. We estimate weighted Korovkin's theorem and difference estimates between two operators and establish a Voronovskaja type asymptotic ...
Vijay Gupta, Michael Th. Rassias
doaj   +7 more sources

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