205,114 research outputs found
A note on q-Bernstein polynomials
In this paper we constructed new q-extension of Bernstein polynomials. Fron
those q-Berstein polynomials, we give some interesting properties and we
investigate some applications related this q-Bernstein polynomials.Comment: 13 page
On the freeness of anticyclotomic selmer groups of modular forms
We establish the freeness of certain anticyclotomic Selmer groups of modular forms. The freeness of these Selmer groups plays a key role in the Euler system arguments introduced by Bertolini and Darmon in their work on the anticyclotomic main conjecture for modular forms. In particular, our result fills some implicit gaps which appeared in generalizations of the Bertolini-Darmon result to the case where the associated residual representation is not minimally ramified. The removal of such a minimal ramification hypothesis is essential for applications involving congruences of modular forms.Accepted manuscrip
Measuring |V_{td} / V_{ub}| through B -> M \nu \bar\nu (M=\pi,K,\rho,K^*) decays
We propose a new method for precise determination of |V_{td} / V_{ub}| from
the ratios of branching ratios BR(B -> \rho \nu \bar \nu ) / BR(B ->\rho l \nu
) and BR(B -> \pi \nu \bar \nu ) / BR(B -> \pi l \nu ). These ratios depend
only on the ratio of the Cabibbo-Kobayashi-Maskawa (CKM) elements |V_{td} /
V_{ub}|$ with little theoretical uncertainty, when very small isospin breaking
effects are neglected. As is well known, |V_{td} / V_{ub}| equals to (\sin
\gamma) / (\sin \beta) for the CKM version of CP-violation within the Standard
Model. We also give in detail analytical and numerical results on the
differential decay width d\Gamma(B -> K^* \nu \bar \nu ) / dq^2 and the ratio
of the differential rates dBR(B -> \rho \nu \bar \nu )/dq^2 / dBR(B -> K^* \nu
\bar \nu )/dq^2 as well as BR(B -> \rho \nu \bar \nu ) / BR(B -> K^* \nu \bar
\nu) and BR(B -> \pi \nu \bar \nu ) / BR(B -> K \nu \bar \nu).Comment: LaTeX with 2 figures, 12 page
General polygamy inequality of multi-party quantum entanglement
Using entanglement of assistance, we establish a general polygamy inequality
of multi-party entanglement in arbitrary dimensional quantum systems. For
multi-party closed quantum systems, we relate our result with the monogamy of
entanglement to show that the entropy of entanglement is an universal
entanglement measure that bounds both monogamy and polygamy of multi-party
quantum entanglement.Comment: 4 pages, 1 figur
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