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Inspired by this, for the rational
function field K = κ(u) over any finite field κ with characteristic 6= 2, we construct an
explicit 2-parameter family Ec,d of non-isotrivial elli...
The Relative Efficiency of the Conditional Root Square Estimation of Parameter in Inhomogeneous Equality Restricted Linear Model
Generalized Conditional Root Square Estimation Specific Conditional Root Square Estimation Relative Efficiency
2013/1/30
This paper made a discuss on the relative efficiency of the generalized conditional root square estimation and the specific conditional root square estimation in paper [1,2] in inhomogeneous equality ...
A study on multiple zeta values from the viewpoint of zeta-functions of root systems
multiple zeta values zeta-functions of root systems Number Theory
2012/5/9
We study multiple zeta values (MZVs) from the viewpoint of zeta-functions associated with the root systems which we have studied in our previous papers. In fact, the $r$-ple zeta-functions of Euler-Za...
Benjamini--Schramm continuity of root moments of graph polynomials
Graph polynomial of exponential type Tutte polynomial Chromatic polynomial Benjamini–Schramm convergence Sokal bound
2012/4/18
Recently, M.\ Ab\'ert and T.\ Hubai studied the following problem. The chromatic measure of a finite simple graph is defined to be the uniform distribution on its chromatic roots. Ab\'ert and Hubai pr...
Algebras whose Tits form accepts a maximal omnipresent root
root of the Tits form weakly non-negative quadratic form maximal omnipresent root tilted algebra
2011/9/13
Abstract: Let k be an algebraically closed field and A be a finite-dimensional associative basic k-algebra of the form A=kQ/I where Q is a quiver without oriented cycles or double arrows and I is an a...
Multivariate ultrametric root counting
Multivariate ultrametric root counting Algebraic Geometry Number Theory
2011/8/26
Abstract: Let $K$ be a field, complete with respect to a discrete non-archimedian valuation and let $k$ be the residue field. Consider a system $F$ of $n$ polynomial equations in $K\vars$. Our first r...
Irreducible characters taking root of unity values on p-singular elements
Irreducible characters unity values on p-singular elements
2011/1/20
In this paper we study finite p-solvable groups having irreducible com-plex characters χ ∈ Irr(G) which take roots of unity values on the p-singular elements of G.
On unit root formulas for toric exponential sums
Exponential sum A-hypergeometric function
2011/1/19
Starting from a classical generating series for Bessel functions due to Schl¨omilch[4], we use Dwork’s relative dual theory to broadly generalize unit-root results of Dwork[3] on Kloosterman sums and ...
We introduce and study a combinatorially defined notion of root basis of a (real) root system of a possibly infinite Coxeter group. Known results on conjugacy up to sign of root bases of certain irred...
Let g be a finite-dimensional Lie algebra andM be a g-module. The Fernando-Kac subalgebra of g associated to M is the subset g[M] ⊂ g of all elements g ∈ g which act locally finitely on M.
Projected Flat m-th Root Finsler Metrics
Finsler metric projected flat m-th root metric locally Minkowskian
2012/9/25
Projected flat Finsler metrics on an open subset in Rn are the regular solution to Hilbert’s Fourth Problem. We study locally projected flat m-th root Finsler metrics and its generalized metrics in t...
Square-Root Lasso: Pivotal Recovery of Sparse Signals via Conic Programming
High-dimensional sparse model unknown sigma conic programming
2010/12/16
We propose a pivotal method for estimating high-dimensional sparse linear re-gression models, where the overall number of regressors p is large, possibly much larger than n, but only s regressors are ...
On the continued fraction expansion of the unique root in F(p) of the equation x^4+x^2-Tx-1:12=0 and other related hyperquadratic expansions
Continued fractions Fields of power series Finite fields
2010/12/15
.In 1985, Robbins observed by computer the continued frac-tion expansion of certain algebraic power series over a finite field. Inciden-tally he came across a particular equation of degree four in cha...
A note on the automorphism group of the root lattice of the U-dual modular group
topological M-theory the U-dual automorphic form Weyl group of the Udual
2010/12/15
We study the inclusion system of the quantum deformed 2 dimensional Yang-Mills root module to the graded root module of the U-dual modular group. The irreducible representation of the U-dual modular g...
Spectral Problems for Operator Pencils in Non-Separated Root Zones
Operator pencils eigenvalues variational principles
2010/2/26
Variational principles for real eigenvalues of self-adjoint operator pencils in non-separated root zones are studied.