Results 11 to 20 of about 88,077 (185)
Dodgson polynomial identities [PDF]
Communications in Number Theory and Physics, 2019 Dodgson polynomials appear in Schwinger parametric Feynman integrals and are closely related to the well known Kirchhoff (or first Symanzik) polynomial. In this article a new combinatorial interpretation and a generalisation of Dodgson polynomials are provided.
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Polynomial identities of the Rogers--Ramanujan type
, 1994 Presented are polynomial identities which imply generalizations of Euler and Rogers--Ramanujan identities. Both sides of the identities can be interpreted as generating functions of certain restricted partitions. We prove the identities by establishing a
Foda, Omar, Quano, Yas-Hiro
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Polynomial identities in nil-algebras [PDF]
Transactions of the American Mathematical Society, 2009 A polynomial identity is called `Specht' if every system containing this identity has a finite basis. By a theorem of Kemer, over a field of characteristic 0, every system of polynomial identities of associative algebras is finitely based. Recently, Belov, Grishin and Shchigolev proved that over a field of prime characteristic \(p>0\) there are non ...
Aladova, Elena V. +1 more
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FEBS Open Bio, EarlyView.ERα splice variant ERα∆7 lacks the C‐terminus, and its expression may change phenotypes of breast cancers. Our results showed that ERα∆7 is found in the luminal A subtype, and elevated ERα∆7 levels are linked to improved cell survival with lower proliferation and migration.
Long Wai Tsui +10 more
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Symmetric Identities for Fubini Polynomials [PDF]
Symmetry, 2018 We represent the generating function of w-torsion Fubini polynomials by means of a fermionic p-adic integral on Zp. Then we investigate a quotient of such p-adic integrals on Zp, representing generating functions of three w-torsion Fubini polynomials and derive some new symmetric identities for the w-torsion Fubini and two variable w-torsion Fubini ...
Taekyun Kim +3 more
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Use of Symptomatic Drug Treatment for Fatigue in Multiple Sclerosis and Patterns of Work Loss
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To describe the use of central stimulants and amantadine for fatigue in MS and evaluate a potential association with reduced work loss in people with MS. Methods We conducted a nationwide, matched, register‐based cohort study in Sweden (2006 to 2023) using national registers with prospective data collection.
Simon Englund +3 more
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Virasoro character identities from the Andrews--Bailey construction
, 1994 We prove $q$-series identities between bosonic and fermionic representations of certain Virasoro characters. These identities include some of the conjectures made by the Stony Brook group as special cases.
Foda, Omar, Quano, Yas-Hiro
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Symmetric Identities for Euler Polynomials [PDF]
Graphs and Combinatorics, 2010 9 pages. Accepted by Graphs and Combinatorics.
Zhang, Yong, Sun, Zhi-Wei, Pan, Hao
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Cognitive decline is a disabling and variable feature of Parkinson disease (PD). While cholinergic system degeneration is linked to cognitive impairments in PD, most prior research reported cross‐sectional associations. We aimed to fill this gap by investigating whether baseline regional cerebral vesicular acetylcholine transporter ...
Taylor Brown +6 more
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A-D-E Polynomial and Rogers--Ramanujan Identities
, 1994 We conjecture polynomial identities which imply Rogers--Ramanujan type identities for branching functions associated with the cosets $({\cal G}^{(1)})_{\ell-1}\otimes ({\cal G}^{(1)})_{1} / ({\cal G}^{(1)})_{\ell}$, with ${\cal G}$=A$_{n-1}$ \mbox{$(\ell\
Pearce, P. A., Warnaar, S. O.
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