Results 11 to 20 of about 2,413 (304)
Factorization of polynomials [PDF]
ACM SIGSAM Bulletin, 1984 The last few years there have been a lot of exciting new results in the area of factorization of polynomials. In this note we give an overview of the most important results, and we give some directions for future research.
Lenstra, Arjen K.
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Complex factorization by Chebysev polynomials [PDF]
Le Matematiche, 2018 A sequence \((u_n)\) is called \(r\)-periodic if satisfies the recurrence relation \[u_n=a_tu_{n-1}+b_tu_{n-2},\] with \(n \equiv t \pmod r\), for \(n\geq 2\), and given numbers \(a_0,\ldots,a_{r-1},b_0,\ldots,b_{r-1}\), with initial conditions \(u_0\) and \(u_1\).
Sahin, Murat, Tan, Elif, Yilmaz, Semih
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A factorization formula for power series [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 Given an odd prime p, we give an explicit factorization over the ring of formal power series with integer coefficients for certain reducible polynomials whose constant term is of the form $p^w$ with $w>1$.
Daniel Birmajer +2 more
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Stable factorization for phase factors of quantum signal processing [PDF]
Quantum, 2022 This paper proposes a new factorization algorithm for computing the phase factors of quantum signal processing. The proposed algorithm avoids root finding of high degree polynomials by using a key step of Prony's method and is numerically stable in the ...
Lexing Ying
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Faktorisasi Polinomial Square-Free dan bukan Square-Free atas Lapangan Hingga Zp
JTAM (Jurnal Teori dan Aplikasi Matematika), 2019 Abstrak: Faktorisasi polinomial merupakan suatu proses penguraian suatu polinomial berderajat n menjadi polinomial-polinomial lain yang berderajat lebih kecil dari n.
Juli Loisiana Butar-butar +1 more
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Refined toric branes, surface operators and factorization of generalized Macdonald polynomials
Journal of High Energy Physics, 2017 We find new universal factorization identities for generalized Macdonald polynomials on the topological locus. We prove the identities (which include all previously known forumlas of this kind) using factorization identities for matrix model averages ...
Yegor Zenkevich
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Cumulants of Jack symmetric functions and b-conjecture (extended abstract) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 Goulden and Jackson (1996) introduced, using Jack symmetric functions, some multivariate generating series ψ(x, y, z; t, 1 + β) that might be interpreted as a continuous deformation of the rooted hypermap generating series.
Maciej Dolega, Valentin Féray
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When Is the Number of True Different Permutation Polynomials Equal to 0?
Mathematics, 2019 In this paper, we have obtained the prime factorization form of positive integers N for which the number of true different fourth- and fifth-degree permutation polynomials (PPs) modulo N is equal to zero.
Lucian Trifina, Daniela Tarniceriu
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On Values of Cyclotomic Polynomials. V [PDF]
, 2003 In this paper, we present three results on cyclotomic polynomials. First, we present results about factorization of cyclotomic polynomials over arbitrary fields K.
Motose, Kaoru, Kaoru Motose
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Factorizing the polynomial of a code [PDF]
Transactions of the American Mathematical Society, 1984 We give an extension and a simplified presentation of a theorem of Schützenberger. This theorem describes the factorization of the commutative polynomial associated with a finite maximal code. It is the deepest result known so far in the theory of (variable-length) codes.
Hansel, G., Perrin, D., Reutenauer, C.
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