Gómez-Colunga, Andrés; Kavaler, Charlotte; McNew, Nathan; Zhu, Mirilla On the Erdős primitive set conjecture in function fields. (English) Zbl 07276968 J. Number Theory 219, 412-444 (2021). MSC: 11B83 11N25 11T06 PDF BibTeX XML Cite \textit{A. Gómez-Colunga} et al., J. Number Theory 219, 412--444 (2021; Zbl 07276968) Full Text: DOI
Ding, Yang; Wang, Yongchao Factorization of \({x^n} - 1\) over finite field \({F_p}\). (Chinese. English summary) Zbl 07295663 J. Shanghai Univ., Nat. Sci. 26, No. 2, 189-196 (2020). MSC: 11Y05 11T06 PDF BibTeX XML Cite \textit{Y. Ding} and \textit{Y. Wang}, J. Shanghai Univ., Nat. Sci. 26, No. 2, 189--196 (2020; Zbl 07295663) Full Text: DOI
Guo, Zeyu Deterministic polynomial factoring over finite fields: a uniform approach via \(\mathcal{P}\)-schemes. (English) Zbl 1426.11135 J. Symb. Comput. 96, 22-61 (2020). MSC: 11Y16 11Y40 11T06 13P05 68W30 PDF BibTeX XML Cite \textit{Z. Guo}, J. Symb. Comput. 96, 22--61 (2020; Zbl 1426.11135) Full Text: DOI
Oh, Dong Yeol; Seo, Ye Lim Irreducibility of Hurwitz polynomials over the ring of integers. (English) Zbl 1427.13026 Korean J. Math. 27, No. 2, 465-474 (2019). MSC: 13F20 13A05 13A15 13F15 12H05 PDF BibTeX XML Cite \textit{D. Y. Oh} and \textit{Y. L. Seo}, Korean J. Math. 27, No. 2, 465--474 (2019; Zbl 1427.13026) Full Text: DOI
Sawkmie, Amplify; Singh, Madan Mohan Digraphs associated with the \(k\) th power map on the quotient ring of polynomials over finite fields. (English) Zbl 1423.13143 J. Algebra Appl. 18, No. 11, Article ID 1950218, 18 p. (2019). Reviewer: T. Tamizh Chelvam (Tamilnadu) MSC: 13P05 05C20 11A07 13A05 13M05 PDF BibTeX XML Cite \textit{A. Sawkmie} and \textit{M. M. Singh}, J. Algebra Appl. 18, No. 11, Article ID 1950218, 18 p. (2019; Zbl 1423.13143) Full Text: DOI
Drensky, Vesselin Additive primitive length in relatively free algebras. (English) Zbl 1429.17007 Int. J. Algebra Comput. 29, No. 5, 849-859 (2019). Reviewer: Şehmus Findik (Adana) MSC: 17B01 17B30 17B40 13F20 13P05 PDF BibTeX XML Cite \textit{V. Drensky}, Int. J. Algebra Comput. 29, No. 5, 849--859 (2019; Zbl 1429.17007) Full Text: DOI arXiv
Somer, Lawrence; Křížek, Michal Prime Lehmer and Lucas numbers with composite indices. (English) Zbl 1291.11044 Fibonacci Q. 51, No. 3, 194-214 (2013). Reviewer: Florian Luca (Morelia) MSC: 11B39 11A41 11A51 PDF BibTeX XML Cite \textit{L. Somer} and \textit{M. Křížek}, Fibonacci Q. 51, No. 3, 194--214 (2013; Zbl 1291.11044) Full Text: Link
Amdeberhan, Tewodros; Medina, Luis A.; Moll, Victor H. Arithmetical properties of a sequence arising from an arctangent sum. (English) Zbl 1149.11007 J. Number Theory 128, No. 6, 1807-1846 (2008). Reviewer: Christian Elsholtz (Surrey) MSC: 11B37 11B83 11A07 11A51 11N32 PDF BibTeX XML Cite \textit{T. Amdeberhan} et al., J. Number Theory 128, No. 6, 1807--1846 (2008; Zbl 1149.11007) Full Text: DOI
Rayes, M. O.; Trevisan, V.; Wang, P. S. Factorization properties of Chebyshev polynomials. (English) Zbl 1084.33006 Comput. Math. Appl. 50, No. 8-9, 1231-1240 (2005). Reviewer: Peter Bundschuh (Köln) MSC: 33C45 11B83 42C05 33C65 PDF BibTeX XML Cite \textit{M. O. Rayes} et al., Comput. Math. Appl. 50, No. 8--9, 1231--1240 (2005; Zbl 1084.33006) Full Text: DOI
Granville, Andrew It is easy to determine whether a given integer is prime. (English) Zbl 1110.11002 Bull. Am. Math. Soc., New Ser. 42, No. 1, 3-38 (2005). Reviewer: Preda Mihailescu (Göttingen) MSC: 11A51 11-01 11Y11 11A07 11A41 11B50 11N25 11T06 PDF BibTeX XML Cite \textit{A. Granville}, Bull. Am. Math. Soc., New Ser. 42, No. 1, 3--38 (2005; Zbl 1110.11002) Full Text: DOI
Chen, Zhuo; Greene, John Some comments on Baillie-PSW pseudoprimes. (English) Zbl 1052.11006 Fibonacci Q. 41, No. 4, 334-344 (2003). Reviewer: Solomon Marcus (Bucureşti) MSC: 11A51 11N25 11A07 11B39 PDF BibTeX XML Cite \textit{Z. Chen} and \textit{J. Greene}, Fibonacci Q. 41, No. 4, 334--344 (2003; Zbl 1052.11006)
Jones, Gareth A.; Zvonkin, Alexander Orbits of braid groups on cacti. (English) Zbl 1008.20030 Mosc. Math. J. 2, No. 1, 127-160 (2002). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 20F36 57M12 30F10 57M60 20B15 05C25 12D05 PDF BibTeX XML Cite \textit{G. A. Jones} and \textit{A. Zvonkin}, Mosc. Math. J. 2, No. 1, 127--160 (2002; Zbl 1008.20030)
Garg, Hari Krishna; Wei, Tian On fast algorithms for one-dimensional digital signal processing in finite integer and complex integer rings. (English) Zbl 0992.94008 Circuits Syst. Signal Process. 20, No. 6, 619-634 (2001). Reviewer: Richard A.Mollin (Calgary) MSC: 94A12 11T06 11A07 PDF BibTeX XML Cite \textit{H. K. Garg} and \textit{T. Wei}, Circuits Syst. Signal Process. 20, No. 6, 619--634 (2001; Zbl 0992.94008) Full Text: DOI
Shparlinski, I. E. Finite fields: theory and computation. The meeting point of number theory, computer science, coding theory and cryptography. (English) Zbl 0967.11052 Mathematics and its Applications (Dordrecht). 477. Dordrecht: Kluwer Academic Publishers. xiv, 528 p. (1999). Reviewer: Arne Winterhof (Wien) MSC: 11Txx 11-02 11Y16 11T71 94A60 94B27 11T06 11T23 11T55 65C10 68Q25 68W30 11Y40 14G05 11G20 11Y05 11Y11 PDF BibTeX XML Cite \textit{I. E. Shparlinski}, Finite fields: theory and computation. The meeting point of number theory, computer science, coding theory and cryptography. Dordrecht: Kluwer Academic Publishers (1999; Zbl 0967.11052)
Williams, Hugh Number theory and finite fields. (English) Zbl 0911.11002 Colbourn, Charles J. (ed.) et al., The CRC handbook of combinatorial designs. Boca Raton, FL: CRC Press. CRC Press Series on Discrete Mathematics and its Applications. 615-644 (1996). MSC: 11-04 11A15 11A41 11A51 11T06 11T22 11Y70 PDF BibTeX XML Cite \textit{H. Williams}, in: The CRC handbook of combinatorial designs. Boca Raton, FL: CRC Press. 615--644 (1996; Zbl 0911.11002)
Chabanne, Hervé Factoring of \(x^ n -1\) and orthogonalization over finite fields of characteristic 2. (English) Zbl 0818.11046 Appl. Algebra Eng. Commun. Comput. 6, No. 1, 57-63 (1995). Reviewer: S.E.Payne (Denver) MSC: 11T06 11Y40 PDF BibTeX XML Cite \textit{H. Chabanne}, Appl. Algebra Eng. Commun. Comput. 6, No. 1, 57--63 (1995; Zbl 0818.11046) Full Text: DOI
Davis, Richard A. Idempotent computation over finite fields. (English) Zbl 0820.11074 J. Symb. Comput. 17, No. 3, 237-258 (1994). Reviewer: E.Von York (Notre Dame) MSC: 11T30 11Y16 16Z05 11T55 16P20 PDF BibTeX XML Cite \textit{R. A. Davis}, J. Symb. Comput. 17, No. 3, 237--258 (1994; Zbl 0820.11074) Full Text: DOI
Niederreiter, Harald Recent advances in the theory of finite fields. (English) Zbl 0792.11046 Mullen, Gary L. (ed.) et al., Finite fields, coding theory, and advances in communications and computing. Proceedings of the international conference on finite fields, coding theory, and advances in communications and computing, held at the University of Nevada, Las Vegas, USA, August 7-10, 1991. New York: Marcel Dekker, Inc. Lect. Notes Pure Appl. Math. 141, 153-163 (1993). Reviewer: I.F.Blake (Waterloo / Ontario) MSC: 11T06 11T71 68Q25 11-02 PDF BibTeX XML Cite \textit{H. Niederreiter}, Lect. Notes Pure Appl. Math. 141, 153--163 (1993; Zbl 0792.11046)
Shparlinski, Igor E. Computational and algorithmic problems in finite fields. (English) Zbl 0780.11064 Mathematics and Its Applications. Soviet Series. 88. Dordrecht: Kluwer Academic Publishers. xii, 240 p. (1992). Reviewer: I.F.Blake (Waterloo / Ontario) MSC: 11Txx 11-02 11Y16 11T06 11T55 11T71 68Q25 94B27 94A60 11Y40 14G05 11G20 PDF BibTeX XML Cite \textit{I. E. Shparlinski}, Computational and algorithmic problems in finite fields. Dordrecht: Kluwer Academic Publishers (1992; Zbl 0780.11064)
Ellis, Graham Rings and fields. (English) Zbl 0771.12001 Oxford: Clarendon Press. viii, 169 p. (1992). Reviewer: Th.Grundhöfer (Tübingen) MSC: 12-01 13-01 PDF BibTeX XML Cite \textit{G. Ellis}, Rings and fields. Oxford: Clarendon Press (1992; Zbl 0771.12001)
Shparlinskij, I. E. On some questions of finite field theory. (Russian) Zbl 0726.11076 Usp. Mat. Nauk 46, No. 1(277), 165-200 (1991). Reviewer: S.Uchiyama (Tsukuba) MSC: 11Txx 11-02 11T06 11T55 11T23 11T71 11T24 PDF BibTeX XML Cite \textit{I. E. Shparlinskij}, Usp. Mat. Nauk 46, No. 1(277), 165--200 (1991; Zbl 0726.11076)
Shparlinskiĭ, I. E. On some problems in the theory of finite fields. (English. Russian original) Zbl 0742.11058 Russ. Math. Surv. 46, No. 1, 199-240 (1991). MSC: 11Txx 11-02 11Y16 11T71 11T24 11T06 11T55 11T23 PDF BibTeX XML Cite \textit{I. E. Shparlinskiĭ}, Russ. Math. Surv. 46, No. 1, 199--240 (1991; Zbl 0742.11058) Full Text: DOI
Rowney, Kevin T.; Silverman, Robert D. Finite field manipulations in MACSYMA. (English) Zbl 0697.12016 SIGSAM Bull. 23, No. 1, 39-47 (1989). Reviewer: F.Schwarz MSC: 11T55 68W30 12-04 11T06 PDF BibTeX XML Cite \textit{K. T. Rowney} and \textit{R. D. Silverman}, SIGSAM Bull. 23, No. 1, 39--47 (1989; Zbl 0697.12016) Full Text: DOI
Oţet, Alexandru Congruence relations modulo \(p\) in \(C[X]\). (Romanian) Zbl 0693.10004 Gaz. Mat., Bucur. 93, No. 3, 99-100 (1988). Reviewer: József Sándor (Cluj-Napoca) MSC: 11A07 12D05 PDF BibTeX XML Cite \textit{A. Oţet}, Gaz. Mat., Bucur. 93, No. 3, 99--100 (1988; Zbl 0693.10004)
Svrtan, D. Proof of Scott’s conjecture. (English) Zbl 0511.15004 Proc. Am. Math. Soc. 87, 203-207 (1983). MSC: 15A15 11A07 12D05 PDF BibTeX XML Cite \textit{D. Svrtan}, Proc. Am. Math. Soc. 87, 203--207 (1983; Zbl 0511.15004) Full Text: DOI
Lenstra, A. K.; Lenstra, H. W. jun.; Lovász, László Factoring polynomials with rational coefficients. (English) Zbl 0488.12001 Math. Ann. 261, 515-534 (1982). MSC: 11Y16 11C08 11R09 68W30 PDF BibTeX XML Cite \textit{A. K. Lenstra} et al., Math. Ann. 261, 515--534 (1982; Zbl 0488.12001) Full Text: DOI EuDML