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Polynomial Harmonic Decompositions
Published 2017-01-01Subjects: “…real polynomial…”
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83
On Chebyshev polynomials and their applications
Published 2017-10-01Subjects: “…Chebyshev polynomials…”
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84
Asymptotics of symmetric polynomials
Published 2013-01-01“…We develop a new method for studying the asymptotics of symmetric polynomials of representation–theoretic origin as the number of variables tends to infinity. …”
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POLYNOMIAL PATTERNS IN THE PRIMES
Published 2018-01-01“…Let $P_{1},\ldots ,P_{k}:\mathbb{Z}\rightarrow \mathbb{Z}$ be polynomials of degree at most $d$ for some $d\geqslant 1$ , with the degree $d$ coefficients all distinct, and admissible in the sense that for every prime $p$ , there exists integers $n,m$ such that $n+P_{1}(m),\ldots ,n+P_{k}(m)$ are all not divisible by $p$ . …”
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87
Polynomial effective equidistribution
Published 2023-02-01“…We prove effective equidistribution theorems, with polynomial error rate, for orbits of the unipotent subgroups of $\mathrm{SL}_2(\mathfrak{l})$ in arithmetic quotients of $\mathrm{SL}_2(\mathbb{C})$ and $\mathrm{SL}_2(\mathfrak{l})\times \mathrm{SL}_2(\mathfrak{l})$.The proof is based on the use of a Margulis function, tools from incidence geometry, and the spectral gap of the ambient space.…”
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The relativistic Laguerre polynomials
Published 1996-05-01Subjects: “…orthogonal polynomials…”
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On an Inequality for Legendre Polynomials
Published 2020-11-01“…This paper is concerned with the orthogonal polynomials. Upper and lower bounds of Legendre polynomials are obtained. …”
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Polynomial tempered distributions
Published 2013-01-01“…In the article polynomial (nonlinear) analogue of tempered Schwartz distributions is constructed. …”
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Factoring peak polynomials
Published 2015-01-01“…Furthermore, we give an efficient explicit formula for peak polynomials in the binomial basis centered at $0$, which we use to identify many integer roots of peak polynomials along with certain inequalities and identities.…”
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On Multivariate Bernstein Polynomials
Published 2020-08-01Subjects: “…Bernstein polynomials…”
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99
Polynomial tempered distributions
Published 2010-12-01“…In the article polynomial (nonlinear) analogue of tempered Schwartz distributions is constructed. …”
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