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UNIVERSITY PARK, Pa. -- Understanding how atoms "glide" and "climb" on the surface of 2D crystals like tungsten disulphide may pave the way for researchers to develop materials with unusual or unique ...
New properties of multiple harmonic sums modulo $p$ and $p$-analogues of Leshchiner's series
Congruence finite central binomial sum multiple harmonic sum Bernoulli number
2012/6/15
In this paper we present some new identities of hypergeometric type for multiple harmonic sums whose indices are the sequences $(\{1\}^a,c,\{1\}^b),$ $(\{2\}^a,c,\{2\}^b)$ and prove a number of congru...
Some new properties of Wishart distribution
Wishart distribution covariance matrix correlation matrix
2010/9/14
We obtain the exact distributions of determinants and quotient of determinants of some submatrices of a Wishart distributed random matrix. We show an application of the obtained representations in tes...
New properties of the intersection numbers on moduli spaces of curves
New properties intersection numbers moduli spaces curves
2018/4/20
We present certain new properties about the intersection numbers on moduli spaces of curves $\overline{\sM}_{g,n}$, including a simple explicit formula of $n$-point functions and several new identitie...