Results 31 to 40 of about 1,007,951 (256)
Singular polynomials from orbit spaces [PDF]
, 2012 We consider the polynomial representation S(V*) of the rational Cherednik algebra H_c(W) associated to a finite Coxeter group W at constant parameter c.
Feigin, M., Silantyev, A.
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Acta Polytechnica, 2018 For applications to quasi-exactly solvable Schrödinger equations in quantum mechanics, we consider the general conditions that have to be satisfied by the coefficients of a second-order differential equation with at most k + 1 singular points in order ...
Christiane Quesne
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q-Differential equations for q-classical polynomials and q-Jacobi-Stirling numbers [PDF]
, 2016 We introduce, characterise and provide a combinatorial interpretation for the so-called q-Jacobi–Stirling numbers. This study is motivated by their key role in the (reciprocal) expansion of any power of a second order q-differential operator having the
Zeng, Jiang +5 more
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Scattering amplitudes for all masses and spins
Journal of High Energy Physics, 2021 We introduce a formalism for describing four-dimensional scattering amplitudes for particles of any mass and spin. This naturally extends the familiar spinor-helicity formalism for massless particles to one where these variables carry an extra SU(2 ...
Nima Arkani-Hamed +2 more
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The elementary symmetric functions of a reciprocal polynomial sequence [PDF]
Comptes Rendus. Mathématique, 2014 Erdös and Niven proved in 1946 that for any positive integers m and d , there are at most finitely many integers n for which at least one of the elementary symmetric functions of
Luo, Yuanyuan +3 more
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On a conjecture for balanced symmetric Boolean functions
Journal of Mathematical Cryptology, 2009 We give some results towards the conjecture that are the only nonlinear balanced elementary symmetric polynomials over GF(2), where t and are any positive integers and X(d, n) = Σ1 ...
Cusick Thomas W. +2 more
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Unusual square roots in the ghost-free theory of massive gravity
Journal of High Energy Physics, 2017 A crucial building block of the ghost free massive gravity is the square root function of a matrix. This is a problematic entity from the viewpoint of existence and uniqueness properties. We accurately describe the freedom of choosing a square root of a (
Alexey Golovnev, Fedor Smirnov
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Clifford-symmetric polynomials [PDF]
, 2023 Based on the NilHecke algebra $\mathsf{NH}_n$, the odd NilHecke algebra developed by Ellis, Khovanov and Lauda and Kang, Kashiwara and Tsuchioka's quiver Hecke superalgebra, we develop the Clifford Hecke superalgebra $\mathsf{NH}\mathfrak{C}_n$ as ...
Lenzen, Fabian
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Dealing with ghost-free massive gravity without explicit square roots of matrices
Physics Letters B, 2017 In this paper we entertain a simple idea that the action of ghost free massive gravity (in metric formulation) depends not on the full structure of the square root of a matrix but rather on its invariants given by the elementary symmetric polynomials of ...
Alexey Golovnev, Fedor Smirnov
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Elementary Symmetric Polynomials in Numbers of Modulus 1
Canadian Journal of Mathematics, 2002 AbstractWe describe the set of numbersσk(z1,…,zn+1), wherez1,…,zn+1are complex numbers of modulus 1 for whichz1z2…zn+1= 1, andσkdenotes thek-th elementary symmetric polynomial. Consequently, we give sharp constraints on the coefficients of a complex polynomial all of whose roots are of the same modulus.
Cartwright, Donald I., Steger, Tim
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