Results 1 to 10 of about 524,682 (315)

Finding binomials in polynomial ideals [PDF]

Research in the Mathematical Sciences, 2017
11 pages, v2: final version, to appear in Res.
Anders Jensen, Thomas Kahle, Lukas Katthän   +2 more
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Polynomial Sequences of Binomial-Type Arising in Graph Theory [PDF]

Electronic Journal of Combinatorics, 2012
In this paper, we show that the solution to a large class of "tiling'' problems is given by a polynomial sequence of binomial type. More specifically, we show that the number of ways to place a fixed set of polyominos on an $n\times n$ toroidal ...
Jonathan Schneider
semanticscholar   +3 more sources

Binomial polynomials mimicking Riemann's zeta function [PDF]

Integral Transforms and Special Functions, 2020
arXiv admin note: text overlap with arXiv:1306 ...
Mark W. Coffey, Matthew C. Lettington
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From the binomial reshuffling model to Poisson distribution of money [PDF]

Networks and Heterogeneous Media, 2022
We present a novel reshuffling exchange model and investigate its long time behavior. In this model, two individuals are picked randomly, and their wealth $ X_i $ and $ X_j $ are redistributed by flipping a sequence of fair coins leading to a binomial ...
Fei Cao, Nicholas F. Marshall
doaj   +2 more sources

Polynomial Identities for Binomial Sums of Harmonic Numbers of Higher Order

Mathematics
We study the formulas for binomial sums of harmonic numbers of higher order ∑k=0nHk(r)nk(1−q)kqn−k=Hn(r)−∑j=1nDr(n,j)qjj. Recently, Mneimneh proved that D1(n,j)=1. In this paper, we find several different expressions of Dr(n,j) for r≥1.
Takao Komatsu, B. Sury
doaj   +2 more sources

Binomial formula for Macdonald polynomials [PDF]

, 1996
AMS TeX, 20 pages. Replaced with journal version. To appear in Math.
Andreĭ Okounkov
  +5 more sources

Shifted Jack polynomials, binomial formula, and applications [PDF]

Mathematical Research Letters, 1996
AMS TeX, 8 pages.
Andreĭ Okounkov, Grigori Olshanski
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When is a Polynomial Ideal Binomial After an Ambient Automorphism? [PDF]

Foundations of Computational Mathematics, 2017
Can an ideal I in a polynomial ring k[x]\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt ...
L. Katthän, M. Michałek, Ezra Miller
semanticscholar   +3 more sources

On binomial operator representations of certain polynomial [PDF]

Proyecciones (Antofagasta), 2011
Based on the technique used by M.A.Khanand A. K. Shukla [4] here finite series representations of binomial partial differential operators have been used to establish operator representations of various polynomials not considered in the earlier mentioned ...
M. Khan, K. Nisar
semanticscholar   +3 more sources

Polynomial solutions of binomial congruences [PDF]

Journal of the Australian Mathematical Society, 1960
Polynomial solutions of a few binomial congruences have been known for a long time. For instance Legendre showed that the congruence has a solution this being the expansion of as far as the term of degree m — 3. [1] It seems that only restricted types, e.g. (1), have been investigated.
H. Lindgren
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