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Numerical analysis of minimal beta-sequences associated with a family of entire functions
Numerical analysis Entire functions Pochhammer polynomials Riemann Xi-function
2011/9/22
Abstract: The Riemann Xi-function Xi(t)=xi(1/2+it) is a particularly interesting member of a broad family of entire functions which can be expanded in terms of symmetrized Pochhammer polynomials depen...
Averaging sequences
Averaging sequences math
2010/11/23
In the spirit of Goodman-Plante average condition for the existence of a transverse invariant measure for foliations, we give an averaging condition to find tangentially smooth measures with prescrib...
Minimal unknotting sequences of Reidemeister moves containing unmatched RII moves
Reidemeister moves RII moves
2010/11/23
Arnold introduced invariants $J^+$, $J^-$ and $St$ for generic planar curves.
It is known that both $J^+ /2 + St$ and $J^- /2 + St$ are invariants for generic spherical curves.
Applying these inv...
Random modification effect in the size of the fluctuation of the LCS of two sequences of i.i.d. blocks
the LCS two sequences
2010/11/18
The problem of the order of the fluctuation of the Longest Common Subsequence (LCS) of two independent sequences has been open for decades. There exist contradicting conjectures on the topic, due to ...
Forward-convex convergence of sequences in $\mathbb{L}^0_+$
convergence of sequences $\mathbb{L}^0_+$
2010/4/27
For a sequence in $\mathbb{L}^0_+$, we provide simple necessary and sufficient conditions to ensure that each sequence of its forward convex combinations converges to the same limit. These conditions ...
Integer Sequences associated with Integer Monic Polynomial
Integer Sequences Integer Monic Polynomial
2010/10/29
To every integer monic polynomial of degree m can be associated m integer sequences having interesting properties to the roots of the polynomial. These sequences can be used to find the real roots of...
We discuss intrinsic aspects of Krupka's approach to finite-order variational sequences. We give intrinsic isomorphisms of the quotient subsheaves of the short finite-order variational sequence with ...
This paper is devoted to the study of geometric structures modeled on homogeneous spaces G/P, where G is a real or complex semisimple Lie group and $P\subset G$ is a parabolic subgroup. We use method...
Differential invariants and curved Bernstein-Gelfand-Gelfand sequences
Differential invariants curved Bernstein-Gelfand-Gelfand sequences
2010/11/1
We give a simple construction of the Bernstein-Gelfand-Gelfand sequences of natural differential operators on a manifold equipped with a parabolic geometry. This method permits us to define the addit...