Publications

Update: 2022/12/27

Index | By year | Hook formula | Trees | Hankel | Interdiscipline | Divers |


Published

[117] Y. Bugeaud, G.-N. Han, The Thue-Morse continued fractions in characteristic 2 are algebraic, Acta Arithmetica, 2023+, 20 pages. [download pdf ]

[116] Y. Bugeaud, G.-N. Han, On the rational approximation to Thue-Morse rational numbers, Rendiconti del Seminario Matematico della Università di Padova, 2023+, 14 pages. [download pdf ]

[115] G.-N. Han, Y. Hu, On the algebraicity of Thue-Morse and period-doubling continued fractions, Acta Arithmetica, 203, 2022, pp. 353-381. [download pdf ] [Extended version, proofs for special cases]

[113] Y.-J. Guo, G.-N. Han, W. Wu, Criteria for apwenian sequences, Adv. in Math., 389, Paper No. 107899, 2021, 37 pages. [download pdf ]

[112] J.-P. Allouche, G.-N. Han, J. Shallit, On some conjectures of P. Barry, Journal of Number Theory, 228, 2021, pp. 108-132. [download pdf ]

[111] J.-P. Allouche, G.-N. Han, H. Niederreiter, Perfect linear complexity profile and apwenian sequences, Finite Fields and Their Applications, 68, Article 101761, 2020, 13 pages. [download pdf ]

[108] G.-N. Han, Y. Hu, On the automaticity of sequences defined by the Thue-Morse and period-doubling Stieltjes continued fractions, International Journal of Number Theory, 16, 2020, pp. 2187-2212. [download pdf ]

[105] G.-N. Han, Hankel continued fractions and Hankel determinants of the Euler numbers, Trans. Amer. Math. Soc., 373, 2020, pp. 4255-4283. [download pdf ]

[104] G.-N. Han, Y. Hu, On the automaticity of the Hankel determinants of a family of automatic sequences, Theoretical Computer Science, 795, 2019, pp. 154-164. [download pdf ]

[94] G.-N. Han, Hankel continued fraction and its applications, Adv. in Math., 303, 2016, pp. 295-321. [Download | View ]

[93] H. Fu, G.-N.Han, Computer assisted proof for Apwenian sequences, Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation, ISSAC2016, 2016, pp. 231-238. [ Download pdf ] [Extended version, program, outputs]

[91] G.-N. Han, Jacobi continued fraction and Hankel determinants of the Thue-Morse sequence, Quaestiones Mathematicae, 39(7), 2016, pp. 895-909. [download pdf ]

[87] Y. Bugeaud, G.-N. Han, Z.-Y. Wen, J.-Y. Yao, Hankel Determinants, Padé Approximations, and Irrationality Exponents, International Mathematics Research Notices (IMRN), 5, 2016, pp. 1467-1496. [download pdf ]

[86] G.-N. Han, W. Wu, Evaluations of the Hankel determinants of a Thue-Morse-like sequence, International J Number Theory, 11, 2015, pp. 1887-1904. [download pdf ]

[85] H. Fu, G.-N. Han, On t-extensions of the Hankel determinants of certain automatic sequences, Theoretical Computer Science, 562, 2015, pp. 46-56. [download pdf ]

[84] G.-N. Han, Hankel Determinant Calculus for the Thue-Morse and related sequences, J. Number Theory, 147, 2015, pp. 374-395. [download pdf ]

[82] Y. Bugeaud, G.-N. Han, A combinatorial proof of the non-vanishing of Hankel determinants of the Thue-Morse sequence, Electronic J. Combinatorics, 21(3), #P3.26, 2014, 16 pages. [download pdf ]