Results 11 to 20 of about 62,131 (208)
Binomial Thue equations and polynomial powers [PDF]
Compositio Mathematica, 2006 We explicitly solve a collection of binomial Thue equations with unknown degree and unknown S-unit coefficients, for a number of sets S of small cardinality. Equivalently, we characterize integers x such that the polynomial x 2 + x assumes perfect power values, modulo S-units. These results are proved through a combination of techniques, including Frey
M. A. Bennett +3 more
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Polynomial Identities for Binomial Sums of Harmonic Numbers of Higher Order
MathematicsWe 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
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Skew Polynomial Rings with Binomial Relations
Journal of Algebra, 1996 The paper is concerned with algebras \(A\) over a field \(K\) defined by generators \(x_1,\dots,x_n\) subject to relations of the form \(x_jx_i=c_{ij}x_kx_l\), \(1\leq ...
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New genomic regions associated with white mold resistance in dry bean using a MAGIC population
The Plant Genome, 2022 Dry bean (Phaseolus vulgaris L.) production in many regions is threatened by white mold (WM) [Sclerotinia sclerotiorum (Lib.) de Bary]. Seed yield losses can be up to 100% under conditions favorable for the pathogen.
Edgar Escobar +9 more
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Asymptotics of a ${}_3F_2$ polynomial associated with the Catalan-Larcombe-French sequence [PDF]
, 2006 The large $n$ behaviour of the hypergeometric polynomial $$\FFF{-n}{\sfrac12}{\sfrac12}{\sfrac12-n}{\sfrac12-n}{-1}$$ is considered by using integral representations of this polynomial.
Temme, Nico M.
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On binomial operator representations of certain polynomials [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 paper. The results obtained are believed to be new.
ahmad khan, Mumtaz, Nisar, k. S
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Evaluation of a Special Hankel Determinant of Binomial Coefficients [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 This paper makes use of the recently introduced technique of $\gamma$-operators to evaluate the Hankel determinant with binomial coefficient entries $a_k = (3 k)! / (2k)! k!$. We actually evaluate the determinant of a class of polynomials $a_k(x)$ having
Ömer Eugeciouglu +2 more
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A Mechanistic Beta-Binomial Probability Model for mRNA Sequencing Data. [PDF]
PLoS ONE, 2016 A main application for mRNA sequencing (mRNAseq) is determining lists of differentially-expressed genes (DEGs) between two or more conditions. Several software packages exist to produce DEGs from mRNAseq data, but they typically yield different DEGs ...
Gregory R Smith, Marc R Birtwistle
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Shifted jack polynomials, binomial formula, and applications [PDF]
Mathematical Research Letters, 1997 AMS TeX, 8 pages.
Okounkov, A., Olshanski, G.
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Binomial Inequalities for Chromatic, Flow, and Tension Polynomials [PDF]
Discrete & Computational Geometry, 2021 9 pages, to appear in Discrete & Computational ...
Matthias Beck, Emerson León
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