(2016). Zero-term rank and zero-star cover number of symmetric matrices and their linear preservers. Linear and Multilinear Algebra: Vol. 64, No. 12, pp. 2368-2377. doi: 10.1080/03081087.2016.1155534doi:10.1080/03081087.2016.1155534Beasley, LeRoy B....
The approach presented here is based on the recursion formula for orthogonal polynomials. If the matrices involved in the recursion are known, it is not hard to factor Möller’s matrix into a regular and a tri-diagonal matrix. The determination of the rank is easy. It will be derived ...
It is clear that the equation cosh2θ−sinh2θ=1 holds, which reminds us of the equation of a hyperbola, x2−y2=1. This is why they are called hyperbolic functions. Note that cosθ is an even (symmetric) function of θ, so changing the sign of θ should not change...
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Journal of Number Theory, 180:474–497, 2017. The arithmetic geometry of resonant Rossby wave triads. SIAM Journal on Applied Algebra and Geometry, 1(1):352–373, 2017. The limiting spectral measure for ensembles of symmetric block circulant matrices (with Murat Koloğlu and Steven J. ...
The pair (X,R) is a symmetric association scheme with n classes if 1. R0={(x,x):x∈X}; 2. For 0≤k≤n, Rk−1:={(y,x):(x,y)∈Rk}=Rk; 3. For any triple of integers i,j,k=0,1,…,n, there are intersection numbers pijk such that, for all (x,y)∈Rk, ...
07 ON BERNSTEIN'S PROOF OF THE MEROMORPHIC CONTINUATION OF EISENSTEIN SERIES - 副本 59:08 PETER HUMPHRIES_ NEWFORM THEORY FOR GL_N 1:15:19 SECOND MOMENT OF THE CENTRAL VALUES OF RANKIN-SELBERG L-FUNCTIONS 1:11:56 OLGA BALKANOVA_ SPECTRAL DECOMPOSITION FORMULA AND MOMENTS OF SYMMETRIC SQUARE...
minor summation formula of Ishikawa and Wakayama [5] (see Theorem7). In fact, it appears that a symmetric generalization of this Schur function identity (Conjecture 5 in Section 4) holds. However, so far we were not able to establish this identity. Also in Section 4, we add a further ...
Skew-symmetric pairings on Selmer groups and their applications (Jan Nekovar) 3- 01:01:12 Skew-symmetric pairings on Selmer groups and their applications (Jan Nekovar) 4- 01:04:43 Periods of modular forms and the arithmetic of elliptic curves 2-4 01:00:56 Periods of modular forms an...
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