Found 142 Documents (Results 1–100)
A note on “A counterexample to a proposition of R. Matthews”. (A note on “A counterexample to a proposition of R. Mathews”.) (English) Zbl 07893311
MSC:
11T06
A new approach to multi-delay matrix valued fractional linear differential equations with constant coefficients. (English) Zbl 1537.34084
Numerical solution of the fractional-order logistic equation via the first-kind Dickson polynomials and spectral tau method. (English) Zbl 1535.65089
Optimal control of Volterra integro-differential equations based on interpolation polynomials and collocation method. (English) Zbl 1538.49007
An explanation for the similar appearance of two identities involving Dickson polynomials. (English) Zbl 1514.11077
Reviewer: Sudhir Batra (Sonipat)
Generalized trigonometry and Chebyshev functions in finite fields. (English) Zbl 1512.11092
Reviewer: Neranga Fernando (Worcester)
Factorization of Dickson polynomials over finite fields. (English) Zbl 1510.11160
Reviewer: Xiang-Dong Hou (Tampa)
MSC:
11T06
A recursive formula and an estimation for a specific exponential sum. (English) Zbl 1513.11185
MSC:
11T23
Numerical solutions for nonlinear multi-term fractional differential equations via Dickson operational matrix. (English) Zbl 1524.65297
A function field approach toward good polynomials for further results on optimal LRC codes. (English) Zbl 1489.94134
Explicit Artin maps into \(\mathrm{PGL}_2\). (English) Zbl 1500.11083
Reviewer: Sophie Marques (Cape Town)
A class of computational approaches for simulating fractional functional differential equations via Dickson polynomials. (English) Zbl 1505.65230
Optimal control of nonlinear time-delay fractional differential equations with Dickson polynomials. (English) Zbl 1481.49032
A novel operational matrix for the numerical solution of nonlinear Lane-Emden system of fractional order. (English) Zbl 1476.65133
Permutation properties of Dickson and Chebyshev polynomials with connections to number theory. (English) Zbl 1489.11198
Reviewer: Andreas Bender (Pavia)
MSC:
11T06
Orthogonality of the Dickson polynomials of the \((k+1)\)-th kind. (English) Zbl 1482.33005
Reviewer: Thomas Ernst (Uppsala)
LCD codes from tridiagonal Toeplitz matrices. (English) Zbl 1473.94143
Reviewer: Tsuyoshi Miezaki (Tokyo)
New Wilson-like theorems arising from Dickson polynomials. (English) Zbl 1478.11142
Reviewer: Peter Jau-Shyong Shiue (Las Vegas)
Division polynomials for hyperelliptic curves defined by Dickson polynomials. (English) Zbl 1470.11173
Counting points on hyperelliptic curves of type \(y^2=x^{2g+1}+ax^{g+1}+bx\). (English) Zbl 1455.11168
On polynomial solutions of the Diophantine equation \((x+y-1)^2=wxy\). (English) Zbl 1480.11033
Reviewer: Alexey Ustinov (Khabarovsk)
Factorization of \(x^n - 1\) over the finite field \(\mathbb F_p\). (Chinese. English summary) Zbl 1463.11154
On inverses of some permutation polynomials over finite fields of characteristic three. (English) Zbl 1478.11148
MSC:
11T06
A trigonometric approach for Dickson polynomials over fields of characteristic two. (English) Zbl 1459.11222
Reviewer: Mihai Cipu (Bucureşti)
Some notes on the multiplicative order of \(\alpha+\alpha^{-1}\) in finite fields of characteristic two. (English) Zbl 1449.11113
Reviewer: Arne Winterhof (Linz)
On special extrema of polynomials with applications to Diophantine problems. (English) Zbl 1450.11019
Reviewer: Balasubramanian Sury (Bangalore)
Explicit factors of generalized cyclotomic polynomials and generalized Dickson polynomials of order \(2^m 3\) over finite fields. (English) Zbl 1421.11097
A short proof of congruences for Lucas sequences. (English) Zbl 1461.11036
Reviewer: Matthew C. Lettington (Cardiff)
Several classes of permutation trinomials from Niho exponents over finite fields of characteristic 3. (English) Zbl 1422.11236
Reviewer: Lucas da Silva Reis (Belo Horizonte)
MSC:
11T06
A recursive construction of permutation polynomials over \(\mathbb F_{q^2}\) with odd characteristic related to Rédei functions. (English) Zbl 1445.11141
MSC:
11T06
Irreducible factorization of translates of reversed Dickson polynomials over finite fields. (English) Zbl 1439.11290
Reviewer: Mihai Cipu (Bucureşti)
A numerical approach technique for solving generalized delay integro-differential equations with functional bounds by means of Dickson polynomials. (English) Zbl 1404.65327
Bivariate identities related to Chebyshev and Dickson polynomials over \(\mathbb{F}_q\). (English) Zbl 1374.11090
A numerical method for solving some model problems arising in science and convergence analysis based on residual function. (English) Zbl 1372.65222
A numerical approach with error estimation to solve general integro-differential-difference equations using Dickson polynomials. (English) Zbl 1410.65240
Dickson polynomials that are involutions. (English) Zbl 1382.11087
Canteaut, Anne (ed.) et al., Contemporary developments in finite fields and applications. Based on the presentations at the 12th international conference on finite fields and their applications (Fq12), Saratoga Springs, NY, July 13–17, 2015. Hackensack, NJ: World Scientific (ISBN 978-981-4719-25-4/hbk; 978-981-4719-27-8/ebook). 22-47 (2016).
Reviewer: Xiang-Dong Hou (Tampa)
MSC:
11T06
Explicit factorizations of generalized Dickson polynomials of order \(2^m\) via generalized cyclotomic polynomials over finite fields. (English) Zbl 1356.11085
Ambiguity and deficiency of reversed Dickson permutations. (English) Zbl 1393.11082
Kyureghyan, Gohar (ed.) et al., Topics in finite fields. 11th international conference on finite fields and their applications (Fq11), Magdeburg, Germany, July 22–26, 2013. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9860-4/pbk; 978-1-4704-2220-2/ebook). Contemporary Mathematics 632, 347-358 (2015).
Some classes of complete permutation polynomials over \(\mathbb F_q\). (English) Zbl 1325.05013
MSC:
11T06
A trigonometric approach for Chebyshev polynomials over finite fields. (English) Zbl 1346.11064
Larcher, Gerhard (ed.) et al., Applied algebra and number theory. Essays in honor of Harald Niederreiter on the occasion of his 70th birthday. Cambridge: Cambridge University Press (ISBN 978-1-107-07400-2/hbk; 978-1-139-69645-6/ebook). 255-279 (2014).
Reviewer: Mihai Cipu (Bucureşti)
Some classes of monomial complete permutation polynomials over finite fields of characteristic two. (English) Zbl 1314.11073
Reviewer: Robert Fitzgerald (Carbondale)
MSC:
11T06
An efficient characterization of a family of hyper-bent functions with multiple trace terms. (English) Zbl 1316.94136
On the Waring problem with multivariate Dickson polynomials. (English) Zbl 1294.11171
Lavrauw, Michel (ed.) et al., Theory and applications of finite fields. The 10th international conference on finite fields and their applications, Ghent, Belgium, July 11–15, 2011. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5298-9/pbk; 978-0-8218-9157-5/ebook). Contemporary Mathematics 579, 153-161 (2012).
Reviewer: Zaizhao Meng (Beijing)
Cycle structure of permutation functions over finite fields and their applications. (English) Zbl 1272.12009
Reviewer: Piroska Lakatos (Debrecen)
Dickson polynomials over finite fields. (English) Zbl 1266.11128
Reviewer: Mihai Cipu (Bucureşti)
The minimal polynomial of \(2 \cos(\pi /q)\) and Dickson polynomials. (English) Zbl 1270.11021
Reviewer: Mehmet Cenkci (Antalya)
On the Waring problem with Dickson polynomials in finite fields. (English) Zbl 1257.11104
Reviewer: Stefaan De Winter (Houghton)
Non-existence of bipartite graphs of diameter at least \(4\) and defect \(2\). (English) Zbl 1238.05076
Reviewer: G. N. Prasanth (Alappuzha)
Crosscorrelation of \(m\)-sequences, exponential sums and Dickson polynomials. (English) Zbl 1404.94031
On generalized Lucas sequences. (English) Zbl 1246.11039
Brualdi, Richard A. (ed.) et al., Combinatorics and graphs. Selected papers based on the presentations at the 20th anniversary conference of IPM on combinatorics, Tehran, Iran, May 15–21, 2009. Dedicated to Reza Khosrovshahi on the occasion of his 70th birthday. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4865-4/pbk). Contemporary Mathematics 531, 127-141 (2010).
Reviewer: Robert Fitzgerald (Carbondale)
Hyper-bent Boolean functions with multiple trace terms. (English) Zbl 1232.94016
Hasan, M. Anwar (ed.) et al., Arithmetic of finite fields. Third international workshop, WAIFI 2010, Istanbul, Turkey, June 27–30, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-13796-9/pbk). Lecture Notes in Computer Science 6087, 97-113 (2010).
Dickson polynomials and the norm map between the Hecke algebras of Gelfand-Graev representations. (English) Zbl 1208.20003
Kappe, Luise-Charlotte (ed.) et al., Computational group theory and the theory of groups. AMS special session on computational group theory, Davidson, NC, USA, March 3–4, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4365-9/pbk). Contemporary Mathematics 470, 263-270 (2008).
On the number of solutions of equations of Dickson polynomials over finite fields. (English) Zbl 1154.11044
Reviewer: Astrid Reifegerste (Magdeburg)
MSC:
11T06
On some classes of permutation polynomials. (English) Zbl 1218.11108
MSC:
11T06
Cyclotomic mapping permutation polynomials over finite fields. (English) Zbl 1154.11342
Golomb, Solomon W. (ed.) et al., Sequences, subsequences, and consequences. International workshop, SSC 2007, Los Angeles, CA, USA, May 31–June 2, 2007. Revised invited papers. Berlin: Springer (ISBN 978-3-540-77403-7/pbk). Lecture Notes in Computer Science 4893, 119-128 (2007).
Generalized reciprocals, factors of Dickson polynomials and generalized cyclotomic polynomials over finite fields. (English) Zbl 1119.11069
Reviewer: Astrid Reifegerste (Magdeburg)
Congruences for Brewer sums. (English) Zbl 1107.11032
Reviewer: Robert Fitzgerald (Carbondale)
A generalization of Dickson polynomials via linear fractional transformations. (English) Zbl 1143.12002
Reviewer: Richard A. Mollin (Calgary)
Polynomial representations of the Lucas logarithm. (English) Zbl 1111.11054
Reviewer: Richard A. Mollin (Calgary)
On the linear complexity profile of nonlinear congruential pseudorandom number generators with Dickson polynomials. (English) Zbl 1172.11305
Exponential sums with Dickson polynomials. (English) Zbl 1104.11055
Reviewer: Arne Winterhof (Linz)
Dickson polynomials that are permutations. (English) Zbl 1056.11076
Reviewer: Nikolai L. Manev (Sofia)
Diophantine equations between polynomials obeying second order recurrences. (English) Zbl 1072.11023
Reviewer: Nikos Tzanakis (Iraklion)
Realization and nonrealization of Poincaré duality quotients of \({\mathbb F}_2 [x,y]\) as topological spaces. (English) Zbl 1032.55018
Reviewer: Martin D.Crossley (Swansea)
MSC:
55S10
On the permutation behaviour of Dickson polynomials of the second kind. (English) Zbl 1032.11056
Reviewer: Wilfried Meidl (Singapore)
A note on multi-index polynomials of Dickson type and their applications in quantum optics. (English) Zbl 1011.33006
Reviewer: B.A.Bondarenko (Tashkent)
MSC:
33C45
Intersection-number operators for curves on discs and Chebyshev polynomials. (English) Zbl 1030.11066
Gilman, Jane (ed.) et al., Knots, braids, and mapping class groups - papers dedicated to Joan S. Birman. Proceedings of a conference in low dimensional topology in honor of Joan S. Birman’s 70th birthday, New York, NY, USA, March 14-15, 1998. Providence, RI: American Mathematical Society (AMS). AMS/IP Stud. Adv. Math. 24, 49-75 (2001).
Reviewer: V.V.Chueshev (Kemerovo)
The world’s most interesting class of integral polynomials. (English) Zbl 1069.11048
Reviewer: Richard A. Mollin (Calgary)
The Diophantine equation \(f(x) = g(y)\). (English) Zbl 0958.11049
Reviewer: Dimitros Poulakis (Thessaloniki)
On the decomposition of \(x^d + a_ex^e +\dots +a_1x +a_0\). (English) Zbl 0990.11076
Reviewer: Richard A.Mollin (Calgary)
MSC:
11T06
Bivariate factorizations connecting Dickson polynomials and Galois theory. (English) Zbl 0989.12001
Reviewer: Richard A.Mollin (Calgary)
Quadratic factors of \(f(x)-g(y)\). (English) Zbl 0935.12003
Reviewer: R.F.Tichy (Graz)
Factoring Dickson polynomials over finite fields. (English) Zbl 0929.11060
Reviewer: Richard A. Mollin (Calgary)
Dickson polynomials of the second kind which are permutation polynomials over a finite field. (English) Zbl 0976.12002
Reviewer: Robert Guralnick (Los Angeles)
The number of different Dickson-functions in the Galois field \(GF(q)\). (English) Zbl 0915.11056
Contributions to general algebra 10. Selection of lectures given at the conference on general algebra, Klagenfurt, Austria, May 29–June 1, 1997. Klagenfurt: Verlag Johannes Heyn. 229-235 (1998).
Reviewer: R.Mollin (Calgary)
Reducibility of translates of Dickson polynomials. (English) Zbl 0890.12004
Reviewer: Pieter Moree (Bonn)
A note on the permutation behaviour of the Dickson polynomials of the second kind. (English) Zbl 0924.11016
Reviewer: R.Mollin (Calgary)
Construction of SAC permutations. (English) Zbl 0955.11031
Reviewer: L.M.G.M.Tolhuizen (Eindhoven)
Dickson-Stirling numbers. (English) Zbl 0891.11009
Reviewer: G.L.Mullen (University Park)
Modified Dickson polynomials. (English) Zbl 0957.11012
Monodromy groups of classical families over finite fields. (English) Zbl 0932.11076
Cohen, S. (ed.) et al., Finite fields and applications. Proceedings of the 3rd international conference, Glasgow, UK, July 11–14, 1995. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 233, 59-68 (1996).
Reviewer: G.L.Mullen (University Park)
MSC:
11T06
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