Sergei V. Konyagin, Florian Luca, Bernard Mans, Luke Mathieson, Min Sha, Igor E. Shparlinski, “Functional graphs of polynomials over finite fields”, Journal of Combinatorial Theory, Series B, 2016, том 116, страницы 87

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Journal of Combinatorial Theory, Series B

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ЖУРНАЛЫ ПЕРСОНАЛИИ ОРГАНИЗАЦИИ КОНФЕРЕНЦИИ СЕМИНАРЫ ВИДЕОТЕКА ПАКЕТ AMSBIB

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Journal of Combinatorial Theory, Series B, 2016, том 116, страницы 87–122
DOI: https://doi.org/10.1016/j.jctb.2015.07.003 (Mi jcthb1)

Эта публикация цитируется в 13 научных статьях (всего в 13 статьях)

Functional graphs of polynomials over finite fields

Sergei V. Konyagin^a, Florian Luca^b, Bernard Mans^c, Luke Mathieson^c, Min Sha^d, Igor E. Shparlinski^d

^a Steklov Mathematical Institute, 8, Gubkin Street, Moscow, 119991, Russia
^b School of Mathematics, University of the Witwatersrand, Private Bag X3, Wits 2050, South Africa
^c Department of Computing, Macquarie University, Sydney, NSW 2109, Australia
^d School of Mathematics and Statistics, University of New South Wales, Sydney, NSW 2052, Australiaof New South Wales, School of Mathematics and Statistics

Список цитирования (13)

DOI: https://doi.org/10.1016/j.jctb.2015.07.003

Финансовая поддержка	Номер гранта
Российский фонд фундаментальных исследований	14-01-00332
Министерство образования и науки Российской Федерации	Nsh-3082.2014.1
Marcos Moshinsky Foundation
Australian Research Council	DP110104560 DP140100118 DP130100237
The research of S.V.K. was partially supported by Russian Fund for Basic Research, Grant No. 14-01-00332, and Program Supporting Leading Scientific Schools, Grant Nsh-3082.2014.1; that of F.L. by a Marcos Moshinsky fellowship; that of B.M. by Australian Research Council Grants DP110104560 and DP140100118; that of M.S. by Australian Research Council Grant DP130100237; and that of I.E.S. by Australian Research Council Grants DP130100237 and DP140100118.

Поступила в редакцию: 10.07.2013

Реферативные базы данных:

Тип публикации: Статья

Язык публикации: английский

Образцы ссылок на эту страницу:

https://www.mathnet.ru/rus/jcthb1

Эта публикация цитируется в следующих 13 статьяx:

Ljuben Mutafchiev, Steven Finch, “On the deepest cycle of a random mapping”, Journal of Combinatorial Theory, Series A, 206 (2024), 105875
Bernard Mans, Min Sha, Igor Shparlinski, Daniel Sutantyo, “Functional graphs of families of quadratic polynomials”, Math. Comp., 92:343 (2023), 2307
Derek Garton, “Periodic points of polynomials over finite fields”, Trans. Amer. Math. Soc., 375:7 (2022), 4849
Jimmy He, “Markov chains on finite fields with deterministic jumps”, Electron. J. Probab., 27:none (2022)
Ravi B. D. Figueiredo, Juliano B. Lima, “Tangent-chebyshev maps over finite fields: New properties and functional graphs”, Cryptogr. Commun., 14:4 (2022), 897
Juan Luis García Zapata, Juan‐Antonio Rico‐Gallego, “Classification of maps on a finite set under permutation”, Math Methods in App Sciences, 44:17 (2021), 12383
Anders Karlsson, Gaëtan Kuhn, “A natural graph of finite fields distinguishing between models”, Finite Fields and Their Applications, 69 (2021), 101779
Bernard Mans, Min Sha, Jeffrey Smith, Daniel Sutantyo, “On the equational graphs over finite fields”, Finite Fields and Their Applications, 64 (2020), 101667
Lucas Boppré Niehues, Joachim von zur Gathen, Lucas Pandolfo Perin, Ana Zumalacárregui, “Sidon sets and statistics of the ElGamal function”, Cryptologia, 44:5 (2020), 438
Robert Benedetto, Patrick Ingram, Rafe Jones, Michelle Manes, Joseph Silverman, Thomas Tucker, “Current trends and open problems in arithmetic dynamics”, Bull. Amer. Math. Soc., 56:4 (2019), 611
Bernard Mans, Min Sha, Igor E. Shparlinski, Daniel Sutantyo, “On Functional Graphs of Quadratic Polynomials”, Experimental Mathematics, 28:3 (2019), 292
Andrew Bridy, Derek Garton, “Dynamically distinguishing polynomials”, Res Math Sci, 4:1 (2017)
Rodrigo S. V. Martins, Daniel Panario, “On the heuristic of approximating polynomials over finite fields by random mappings”, Int. J. Number Theory, 12:07 (2016), 1987

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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