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Beginning with the conjecture of Artin and Tate in 1966, there has been a series of
successively more general conjectures expressing the special values of the zeta function
of an algebraic variety o...
The p-cohomology of algebraic varieties and special values of zeta functions
zeta functions algebraic varieties
2015/12/10
The p-cohomology of an algebraic variety in characteristic p lies naturally in the
category Db
c
.R/ of coherent complexes of graded modules over the Raynaud ring
(Ekedahl-Illusie-Raynaud). We stu...
For each ˉeld k, we deˉne a category of rationally decomposed mixed
motives with Z-coe±cients. When k is ˉnite, we show that the category is Tannakian, and we prove formulas relating the behaviour of...
A regularity result for the singular values of a transfer matrix and a quadratically convergent algorithm for computing its L_infinity-norm
Matrix and singular value differentiable function frequency singular value lipschitz second derivative
2015/8/12
The ith singular value of a transfer matrix need not be a differentiable function of frequency where its multiplicity is greater than one. We show that near a local maximum, however, the largest singu...
On the power of function values for the approximation problem in various settings
function values the approximation problem various settings
2010/11/22
This is an expository paper on approximating functions from general Hilbert or Banach spaces in the worst case, average case and randomized settings with error measured in the $L_p$ sense. We define ...
<正> ⅠNTRODUCTIONIn 1896,Borel established the well known theorem relative tothe distribution of moduli of values for an integral function f(z) offinlite positive order O“The exponent of convergence of...
On the Semivalues and the Least Square Values, Average per capita formulas and relationships
Shapley value Semivalues Least Square Values Average per capita formulas Banzhaf value
2007/12/11
In this paper, it is shown that both the Semivalues and the Least Square Values of cooperative transferable utilities games can be expressed in terms of $n^2$ averages of values of the characteristic ...
Values of the Carmichael Function Equal to a Sum of Two Squares
Carmichael function sum of two squares
2010/2/25
In this note, we determine the order of growth of the number of positive integers n \le x such that l(n) is a sum of two square numbers, where l(n) is the Carmichael function.
Computing special values of partial zeta functions
Computing special values partial zeta functions
2010/10/29
We discuss computation of the special values of partial zeta functions associated to totally real number fields. The main tool is the \emph{Eisenstein cocycle} $\Psi $, a group cocycle for $GL_{n} (\Z...
On Univalent Functions with Three Preassigend Values
Univalent Functions Three Preassigend Values
2010/3/5
In this paper, univalent functions with three preassigend values are studied. The sharp bounds for the first coefficient are obtained. Moreover, the coefficient problem for a subclass of such function...
Let R be a ring, X\neq (0) an R-bi-module, d: R\ra X a(s,t)- derivation with module value such that ds=s d, dt=t d and U\neq (0) an ideal of R. Furthermore the following properties are also satisfied....