Oliveira, José Alves; Martínez, F. E. Brochero Permutation polynomials with Carlitz rank 2. (English) Zbl 07299415 Discrete Math. 344, No. 1, Article ID 112155, 8 p. (2021). MSC: 11T06 11T30 PDF BibTeX XML Cite \textit{J. A. Oliveira} and \textit{F. E. B. Martínez}, Discrete Math. 344, No. 1, Article ID 112155, 8 p. (2021; Zbl 07299415) Full Text: DOI
Ding, Zhiguo Connecting two types of representations of a permutation of \(\mathbb{F}_q\). (English) Zbl 1433.05006 Discrete Math. 343, No. 4, Article ID 111793, 9 p. (2020). MSC: 05A05 11T06 PDF BibTeX XML Cite \textit{Z. Ding}, Discrete Math. 343, No. 4, Article ID 111793, 9 p. (2020; Zbl 1433.05006) Full Text: DOI
Pausinger, Florian; Topuzoğlu, Alev On the discrepancy of two families of permuted van der Corput sequences. (English) Zbl 07099380 Unif. Distrib. Theory 13, No. 1, 47-64 (2018). MSC: 11K38 11K06 11T06 PDF BibTeX XML Cite \textit{F. Pausinger} and \textit{A. Topuzoğlu}, Unif. Distrib. Theory 13, No. 1, 47--64 (2018; Zbl 07099380) Full Text: DOI
Anbar, Nurdagül; Odžak, Almasa; Patel, Vandita; Quoos, Luciane; Somoza, Anna; Topuzoğlu, Alev On the Carlitz rank of permutation polynomials over finite fields: recent developments. (English) Zbl 1445.11140 Bouw, Irene I. (ed.) et al., Women in numbers Europe II. Contributions to number theory and arithmetic geometry, Leiden, The Netherlands, September 26–30, 2016. Cham: Springer. Assoc. Women Math. Ser. 11, 39-55 (2018). MSC: 11T06 PDF BibTeX XML Cite \textit{N. Anbar} et al., Assoc. Women Math. Ser. 11, 39--55 (2018; Zbl 1445.11140) Full Text: DOI
Işık, Leyla; Winterhof, Arne Carlitz rank and index of permutation polynomials. (English) Zbl 1430.11157 Finite Fields Appl. 49, 156-165 (2018). MSC: 11T06 11T24 11T71 PDF BibTeX XML Cite \textit{L. Işık} and \textit{A. Winterhof}, Finite Fields Appl. 49, 156--165 (2018; Zbl 1430.11157) Full Text: DOI
Anbar, Nurdagül; Odžak, Almasa; Patel, Vandita; Quoos, Luciane; Somoza, Anna; Topuzoğlu, Alev On the difference between permutation polynomials. (English) Zbl 1374.11089 Finite Fields Appl. 49, 132-142 (2018). MSC: 11T06 14H05 PDF BibTeX XML Cite \textit{N. Anbar} et al., Finite Fields Appl. 49, 132--142 (2018; Zbl 1374.11089) Full Text: DOI
Işık, Leyla; Topuzoğlu, Alev; Winterhof, Arne Complete mappings and Carlitz rank. (English) Zbl 1408.11115 Des. Codes Cryptography 85, No. 1, 121-128 (2017). MSC: 11T06 PDF BibTeX XML Cite \textit{L. Işık} et al., Des. Codes Cryptography 85, No. 1, 121--128 (2017; Zbl 1408.11115) Full Text: DOI
Grishkov, A.; Logachev, D. Resultantal varieties related to zeroes of \(L\)-functions of Carlitz modules. (English) Zbl 1402.11089 Finite Fields Appl. 38, 116-176 (2016). MSC: 11G09 13P15 05A19 14Q15 PDF BibTeX XML Cite \textit{A. Grishkov} and \textit{D. Logachev}, Finite Fields Appl. 38, 116--176 (2016; Zbl 1402.11089) Full Text: DOI
Pausinger, Florian; Topuzoǧlu, Alev Permutations of finite fields and uniform distribution modulo 1. (English) Zbl 1368.11073 Niederreiter, Harald (ed.) et al., Algebraic curves and finite fields. Cryptography and other applications. results of the workshops “Applications of algebraic curves” and “Applications of finite fields” of the RICAM Special Semester 2013. Berlin: De Gruyter (ISBN 978-3-11-031788-6/hbk; 978-3-11-037955-6/ebook). Radon Series on Computational and Applied Mathematics 16, 145-160 (2014). MSC: 11K06 11K31 11K38 11T06 PDF BibTeX XML Cite \textit{F. Pausinger} and \textit{A. Topuzoǧlu}, Radon Ser. Comput. Appl. Math. 16, 145--160 (2014; Zbl 1368.11073)
Gómez-Pérez, Domingo; Ostafe, Alina; Topuzoğlu, Alev On the Carlitz rank of permutations of \(\mathbb F_q\) and pseudorandom sequences. (English) Zbl 1332.11103 J. Complexity 30, No. 3, 279-289 (2014). Reviewer: Andreas Bender (Pavia) MSC: 11T06 65C10 PDF BibTeX XML Cite \textit{D. Gómez-Pérez} et al., J. Complexity 30, No. 3, 279--289 (2014; Zbl 1332.11103) Full Text: DOI
Topuzoğlu, Alev The Carlitz rank of permutations of finite fields: a survey. (English) Zbl 1332.11106 J. Symb. Comput. 64, 53-66 (2014). MSC: 11T06 65C10 PDF BibTeX XML Cite \textit{A. Topuzoğlu}, J. Symb. Comput. 64, 53--66 (2014; Zbl 1332.11106) Full Text: DOI
Wang, Lin; Cao, Yunfei; Zhang, Wenzheng Approximating a permutation over finite fields by Möbius transformations. (English) Zbl 1299.11082 J. Univ. Sci. Technol. China 43, No. 7, 569-573 (2013). MSC: 11T06 11T71 PDF BibTeX XML Cite \textit{L. Wang} et al., J. Univ. Sci. Technol. China 43, No. 7, 569--573 (2013; Zbl 1299.11082) Full Text: DOI
Aksoy, Esen; Çeşmelioğlu, Ayça; Meidl, Wilfried; Topuzoğlu, Alev On the Carlitz rank of permutation polynomials. (English) Zbl 1232.11124 Finite Fields Appl. 15, No. 4, 428-440 (2009). MSC: 11T06 PDF BibTeX XML Cite \textit{E. Aksoy} et al., Finite Fields Appl. 15, No. 4, 428--440 (2009; Zbl 1232.11124) Full Text: DOI
Anderson, Greg W. Log-algebraicity of twisted \(A\)-harmonic series and special values of \(L\)-series in characteristic \(p\). (English) Zbl 0868.11031 J. Number Theory 60, No. 1, 165-209 (1996). Reviewer: D.Goss (Columbus/Ohio) MSC: 11G09 11R58 11R27 11R70 PDF BibTeX XML Cite \textit{G. W. Anderson}, J. Number Theory 60, No. 1, 165--209 (1996; Zbl 0868.11031) Full Text: DOI
Brown, M. L. Singular moduli and supersingular moduli of Drinfeld modules. (English) Zbl 0767.11028 Invent. Math. 110, No. 2, 419-439 (1992). Reviewer: D.Goss (Columbus / Ohio) MSC: 11G09 11T55 11G15 14H25 14H10 PDF BibTeX XML Cite \textit{M. L. Brown}, Invent. Math. 110, No. 2, 419--439 (1992; Zbl 0767.11028) Full Text: DOI EuDML
Okada, Shozo Kummer’s theory for function fields. (English) Zbl 0728.11031 J. Number Theory 38, No. 2, 212-215 (1991). Reviewer: D.Goss (Columbus) MSC: 11G09 11R58 11R18 PDF BibTeX XML Cite \textit{S. Okada}, J. Number Theory 38, No. 2, 212--215 (1991; Zbl 0728.11031) Full Text: DOI
Thakur, Dinesh S. Gross-Koblitz formula for function fields. (English) Zbl 0726.11073 P-adic analysis Proc. Int. Conf., Trento/Italy 1989, Lect. Notes Math. 1454, 351-355 (1990). Reviewer: D.Goss (Columbus) MSC: 11R58 11G09 11T55 14G15 11L05 11T24 PDF BibTeX XML