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An improved upper bound for the error in the zero-counting formulae for Dirichlet $L$-functions and Dedekind zeta-functions
the zero-counting formulae Dirichlet $L$-functions Dedekind zeta-functions Number Theory
2012/6/30
This paper contains new explicit upper bounds for the number of zeroes of Dirichlet L-functions and Dedekind zeta-functions in rectangles.
A sharp upper bound for the rainbow 2-connection number of 2-connected graphs
rainbow edge-coloring rainbow k-connection number 2-connected graph ear decomposition
2012/4/18
A path in an edge-colored graph is called {\em rainbow} if no two edges of it are colored the same. For an $\ell$-connected graph $G$ and an integer $k$ with $1\leq k\leq \ell$, the {\em rainbow $k$-c...
An upper bound on common stabilizations of Heegaard splittings
Heegaard splitting Geometric Topology
2011/9/1
Abstract: We show that for any two Heegaard splittings of genus $p$ and $q$ for the same closed 3-manifold, there is a common stabilization of genus at most 3/2 p + 2q - 1. One may compare this to rec...
Superdiffusivity for Brownian motion in a Poissonian potential with long range correlation II: upper bound on the volume exponent
Streched Polymer Quenched Disorder Superdiffusivity Brownian Motion Poissonian Obstacles Correlation
2011/8/26
Abstract: This paper continues a study on trajectories of Brownian Motion in a field of soft trap whose radius distribution is unbounded. We show here for both point-to-point and point-to-plane model ...
An improved upper bound on the Entropy Production for the Kac Master equation
Entropy Production Villani’s Conjecture
2010/12/8
In this paper we take an idea presented in recent paper by Carlen, Carvalho,Le Roux, Loss, and Villani ([3]) and push it one step forward to find an exact estimation on the entropy production. The new...
An upper bound for the Hosoya index of trees
Hosoya index of graphs tree eigenvalue of graphs
2010/9/13
The Hosoya index of a graph G is defined as the sum of all the numbers of k - matchings (k ≥ 0) in G. An upper bound for the Hosoya index of trees is presented in this note.
Upper bound for the generalized repetition threshold
Upper bound generalized repetition threshold
2010/12/10
Let A be an a-letter alphabet. We consider fractional powers of A-strings: if x is a n-letter string, xr is a prefix of xxxx . . . having length nr.
A New Upper Bound of the Logarithmic Mean
Logarithmic mean Power mean Heron mean Best constant
2008/7/3
A New Upper Bound of the Logarithmic Mean.
On an Upper Bound for the Deviations from the Mean Value
Arithmetic mean Square mean Cauchy-Schwarz-Buniakovski inequality Triangle inequality
2008/6/30
A completely elementary proof of a known upper bound for the deviations from the mean value is given. Related inequalities are also discussed. Applications to triangle inequalities provide characteriz...
On the Upper Bound of Second Eigenvalues for Uniformly Elliptic Operators of any Orders
uniformly elliptic operators of any orders
2007/12/10
r + 1. We consider the eigenvalue problems (1.1) and (1.2), and obtain Theorem 1 and Theorem 2, which generalize the results in [1,2,5].