Results 81 to 90 of about 2,099,668 (250)

Palindromic and Colored Superdiagonal Compositions [PDF]

arXiv, 2021
A superdiagonal composition is one in which the $i$-th part or summand is of size greater than or equal to $i$. In this paper, we study the number of palindromic superdiagonal compositions and colored superdiagonal compositions. In particular, we give generating functions and explicit combinatorial formulas involving binomial coefficients and Stirling ...
arxiv  

Edge of a Half-Filled Landau Level

, 1998
We have investigated the electron occupation number of the edge of a quantum Hall (QH) droplet at $\nu=1/2$ using exact diagonalization technique and composite fermion trial wavefunction.
A. V. Shytov, B. I. Halperin, C. L. Kane, D. B. Chklovskii, E. H. Rezayi, E. Rezayi, J. H. Han, J. H. Han, J. H. Han, J. K. Jain, L. Brey, M. Grayson, N. Read, R. B. Laughlin, R. Shankar, S. A. Trugman, S. Conti, S.-R. Eric Yang, S.-R. Eric Yang, S.-R. Eric Yang, Sami Mitra, X. G. Wen   +21 more
core   +1 more source

On compositions of numbers and graphs

, 2007
The main purpose of this note is to pose a couple of problems which are easily formulated thought some seem to be not yet solved. These problems are of general interest for discrete mathematics including a new twig of a bough of theory of graphs i.e. a given graph compositions.
openaire   +2 more sources

Composition-theoretic series in partition theory [PDF]

arXiv, 2022
We use sums over integer compositions analogous to generating functions in partition theory, to express certain partition enumeration functions as sums over compositions into parts that are $k$-gonal numbers; our proofs employ Ramanujan's theta functions.
arxiv  

Prime counting with Composite numbers

, 2023
This paper shows a Möbius expression for the prime counting function as a difference between a natural number n and the composite numbers less than or equal to the number n and transforms this expression towards Riemann’s prime counting function.
openaire   +1 more source

Estimation of Variance Components on Number of Kids Born in a Composite Goat Population

Walailak Journal of Science and Technology, 2011
Records on 1,487 parturitions from a composite population of Anglo-Nubian, Saanen, Native and crossbred goats at Yala Livestock Research and Breeding Center, Department of Livestock Development during the years 1995 and 2005 were estimated for variance ...
Chittima KANTANAMALAKUL, Panwadee SOPANNARATH, Sornthep TUMWASORN   +2 more
doaj   +1 more source

New properties for a composition of some generating functions for primes [PDF]

arXiv, 2011
In this paper, we consider properties of coefficients of a generating functions composition, where the outer function is a logarithmic generating function and the inner function is an ordinary generating function with integer coefficients. Using notions of composita and composition of generating functions, we get new properties for this composition ...
arxiv  

Exclusion Statistics of Composite Fermions

, 2001
The exclusion statistics parameter of composite fermions is determined as an odd number ($\alpha=3$, 5, ...). The statistics of composite fermion excitations at $\nu= \frac{n}{2pn+1}$ is rederived as $\alpha_{qe}^{CF}=1+\frac{2p}{2pn+1}$, $\alpha_{qh ...
Chen, Dasniéres de Veigy, Haldane, Isakov, Johnson, Nayak, Piotr Sitko, Rajagopal, Wu   +8 more
core   +1 more source

Distribution of Squares Modulo a Composite Number [PDF]

International Mathematics Research Notices, 2015
22 pages, to appear in ...
openaire   +3 more sources

Generalized Compositions and Weighted Fibonacci Numbers [PDF]

arXiv, 2010
In this paper we consider particular generalized compositions of a natural number with a given number of parts. Its number is a weighted polynomial coefficient. The number of all generalized compositions of a natural number is a weighted $r$-generalized Fibonacci number. A relationship between these two numbers will be derived. We shall thus obtain a
arxiv