Sulfur dioxide in the mid-infrared transmission spectrum of WASP-39b. [PDF]
Powell D +72 more
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Estimating dose-response relationships for vitamin D with coronary heart disease, stroke, and all-cause mortality: observational and Mendelian randomisation analyses. [PDF]
Emerging Risk Factors Collaboration/EPIC-CVD/Vitamin D Studies Collaboration.
europepmc +1 more source
Prognostic clinical and biological markers for amyotrophic lateral sclerosis disease progression: validation and implications for clinical trial design and analysis. [PDF]
Benatar M +18 more
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Long term health outcomes in people with diabetes 12 months after hospitalisation with COVID-19 in the UK: a prospective cohort study. [PDF]
Gharibzadeh S +47 more
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Gauge Theories and Macdonald Polynomials [PDF]
We study the N=2 four-dimensional superconformal index in various interesting limits, such that only states annihilated by more than one supercharge contribute. Extrapolating from the SU(2) generalized quivers, which have a Lagrangian description, we conjecture explicit formulae for all A-type quivers of class S, which in general do not have one.
Abhijit Gadde +2 more
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TABLEAUX FORMULAS FOR MACDONALD POLYNOMIALS
International Journal of Algebra and Computation, 2013The aim of this work is to describe new explicit recursive formulas for (renormalized) Macdonald polynomials, using Pieri-like formulas.
Bergeron, François, Haiman, Mark
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Combinatorial formula for Macdonald polynomials and generic Macdonald polynomials
Transformation Groups, 2003In [\textit{A. Okounkov}, Transform. Groups 3, 181--207 (1998; Zbl 0941.17005)] the author introduced and studied a class of polynomials \(I_{\mu}(x_1,\dots,x_n; q,t,s)\), indexed with partitions \(\mu=(\mu_1,\dots,\mu_n)\), which are symmetric in \(x_1,\dots,x_n\) and with coefficients which are rational functions of \(q,t,s\).
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Symmetrization of Nonsymmetric Macdonald Polynomials and Macdonald's Inner Product Identities
Studies in Applied Mathematics, 2002We study the Macdonald polynomials that give eigenstates of some quantum many‐body system with long‐range interactions. Scalar products of the nonsymmetric Macdonald polynomials are algebraically evaluated through their Rodrigues‐type formulas. We present a new proof of Macdonald's inner product identities without recourse to the shift operators; that ...
Nishino, Akinori +3 more
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