Research Interest (Research Statement)

Symbolic Computation, Experimental Mathematics, Special Functions, Combinatorics, Number Theory, Probability Theory, Information Geometry

Discrete Math Seminar

Publications

Book

♥	Mathematical Foundations of Information Geometry (信息几何数学基础) [link] Huafei Sun, Linyu Peng, Yongqiang Cheng, Didong Li, and Lin Jiu Science Press, Beijing, 2025. ISBN: 978-7-03-080107-4.

Papers

♥	Leading coefficient in the Hankel determinants related to binomial and q-binomial transforms [link] Shane Chern, Lin Jiu, Shuhan Li, and Liuquan Wang Advances in Applied Mathematics, 176 Article 103051, 2026.
♥	Information geometry and alpha-parallel prior of the beta-logistic distribution [link] Lin Jiu and Linyu Peng Communications in Statistics. Theory and Methods, 54 (11) 3292--3306, 2025.
♥	A central limit theorem for a card shuffling problem [link] Shane Chern, Lin Jiu and Italo Simonelli Journal of Combinatorial Theory. Series A, 214, Article 106048, 2025.
♥	Hankel determinants of certain sequences of Bernoulli polynomials. A direct proof of an inverse matrix entry from Statistics [link] Lin Jiu and Ye Li Contributions to Discrete Mathematics, 19(4), pp. 64–84, 2024.
♥	Multi-headed lattices and Green functions [link] Qipin Chen, Shane Chern, and Lin Jiu Journal of Physics A: Mathematical and Theoretical, 57(46), Article 465204, 2024.
♥	Hankel determinants and Jacobi continued fractions for q-Euler numbers [link] Shane Chern and Lin Jiu Comptes Rendus Mathématique 362, pp. 203--216, 2024.
♥	Hankel determinants of shifted sequences of Bernoulli and Euler numbers [link] Karl Dilcher and Lin Jiu Contributions to Discrete Mathematics, 18(2), pp. 146--175, 2023.
♥	Compatibility of the method of brackets with classical integration rules [link] Zachary Bradshaw, Ivan Gonzalez, Lin Jiu, Victor Hugo Moll, and Christophe Vignat Open Mathematics 21(1), Article number: 20220581, 2023.
♥	Moments and cumulants on identities for Bernoulli and Euler numbers [link] Lin Jiu and Diane Yahui Shi Mathematical Reports 24(4), pp. 643–650, 2022.
♥	Loop decompositions of random walks and nontrivial identities of Bernoulli and Euler polynomials [link] Lin Jiu, Italo Simonelli, and Heng Yue INTEGERS 22, Article 91, 2022.
♥	Hankel determinants of sequences related to Bernoulli and Euler polynomials [link] Karl Dilcher and Lin Jiu International Journal of Number Theory, 18(2) pp. 331--359, 2022.
♥	Orthogonal polynomials and Hankel determinants for certain Bernoulli and Euler polynomials [link] Karl Dilcher and Lin Jiu Journal of Mathematical Analysis and Applications, 497(1), Article 124855, 2021.
♥	An extension of the method of brackets. Part 2. [link] Ivan Gonzalez, Karen Kohl, Lin Jiu, and Victor Hugo Moll Open Mathematics, 18(1), pp. 983--995, 2020.
♥	Calculation and properties of zonal polynomials [link] Lin Jiu and Christoph Koutschan Mathematics in Computer Science, 14, pp. 623--640, 2020.
♥	Computation of the expected Euler characteristic for the largest eigenvalue of a real non-central Wishart matrix [link] Nobuki Takayama, Lin Jiu, Satoshi Kuriki, and Yi Zhang Journal of Multivariate Analysis, 179 Article 104642, 2020.
♥	Analytic continuation for multiple zeta values using symbolic representations [link] Lin Jiu, Christophe Vignat, and Tanay Wakhare International Journal of Number Theory, 16(3), pp. 579--602, 2020.
♥	Connection coefficients for higher-order Bernoulli and Euler polynomials: a random walk approach [link] Lin Jiu and Christophe Vignat Fibonacci Quarterly, 57(5), pp. 84--95, 2019.
♥	Matrix representation for multiplicative nested sums [link] Lin Jiu and Diane Yahui Shi Colloquium Mathematicum, 158(2), pp. 183--194, 2019.
♥	Orthogonal polynomials and connection to generalized Motzkin numbers for higher-order Euler polynomials [link] Lin Jiu and Diane Yahui Shi Journal of Number Theory, 199, pp. 389--402, 2019.
♥	The method of brackets in experimental mathematics [link] Ivan Gonzalez, Karen Kohl, Lin Jiu, and Victor Hugo Moll Frontiers of Orthogonal Polynomials and q-Series, edited by Zuhair Nashed and Xin Li, Chapter 16, pp. 307--318, World Scientific Publishers, 2018.
♥	A symbolic approach to multiple zeta values at the negative integers [link] Lin Jiu, Victor Hugo Moll and Christophe Vignat Journal of Symbolic Computation, 84, pp. 1--13, 2018.
♥	An extension of the method of brackets. Part 1. [link] Ivan Gonzalez, Karen Kohl, Lin Jiu, and Victor Hugo Moll Open Mathematics, 15(1) pp. 1181--1211, 2017.
♥	Integral representations of equally positive integer-indexed harmonic sums at infinity [link] Lin Jiu Research in Number Theory, 3:10, 2017.
♥	Optimal control on special Euclidean group via natural gradient descent algorithm [link] Chunhui Li, Erchuan Zhang, Lin Jiu and Huafei Sun Science China Information Sciences, 59(11) Article 112203, 2016.
♥	Pochhammer symbol with negative indices. A new rule for the method of brackets [link] Ivan Gonzalez, Lin Jiu and Victor Hugo Moll Open Mathematics, 14(1), pp. 681--686, 2016.
♥	The integrals in Gradshteyn and Ryzhik. Part 30: trigonometric functions [link] Tewodros Amdeberhan, Atul Dixit, Xiao Guan, Lin Jiu, Alexey Kuznetsov, Victor Hugo Moll, and Christophe Vignat Scientia Series A: Mathematical Sciences 27, pp. 47--74, 2016.
♥	A series involving Catalan numbers. Proofs and demonstrations. [link] Tewodros Amdeberhan, Atul Dixit, Xiao Guan, Lin Jiu, Victor Hugo Moll, and Christophe Vignat Elemente der Mathematik 71(3), pp. 109--121, 2016.
♥	On binomial identities in arbitrary bases [link] Lin Jiu and Christophe Vignat Journal of Integer Sequences 19(5) Article 16.5.5, 2016.
♥	A symbolic approach to some identities for Bernoulli-Barnes polynomials [link] Lin Jiu, Victor Hugo Moll and Christophe Vignat International Journal of Number Theory 12(3), pp. 649--662, 2016.
♥	The finite Fourier transform of classical polynomials [link] Atul Dixit, Lin Jiu, Victor Hugo Moll and Christophe Vignat Journal of the Australian Mathematical Society 98(2), pp. 145--160, 2015.
♥	The unimodality of a polynomial coming from a rational integral. Back to the original proof. [link] Tewodros Amdeberhan, Atul Dixit, Xiao Guan, Lin Jiu, and Victor Hugo Moll Journal of Mathematical Analysis and Applications 420(2), pp. 1154--1166, 2014.
♥	Recursion rules for the hypergeometric zeta functions [link] Alyssa Byrnes, Lin Jiu, Victor Hugo Moll, and Christophe Vignat International Journal of Number Theory 10(7), pp. 1761--1782, 2014.
♥	Identities for generalized Euler polynomials [link] Lin Jiu, Victor Hugo Moll, and Christophe Vignat Integral Transforms and Special Functions 25(10), pp. 777--789, 2014.
♥	A natural gradient algorithm for stochastic distribution systems [link] Zhenning Zhang, Huafei Sun Lin Jiu, and Linyu Peng Entropy 16(8), pp. 4338--4352, 2014.
♥	The arc length variational formula on the exponential manifold [link] Fengyun Zhang, Huafei Sun Lin Jiu, and Linyu Peng Mathematica Slovaca 63(5), pp. 1101--1112, 2013.
♥	The geometric structure of the Pareto distribution [link] Linyu Peng, Huafei Sun and Lin Jiu Boletín de la Asociación Matemática Venezolana 14(1), pp. 5--13, 2007.
♥	On minimal homothetical hypersurfaces [link] Lin Jiu and Huafei Sun Colloquium Mathematicum 109(2), pp. 239--249, 2007.
♥	Characterizing hypersurfaces of generalized rotation through its normal lines (广义旋转超曲面的法线刻画) [link] Xiaojie Wang and Lin Jiu Journal Of Ningde Normal University (Natural Science) 02, pp. 117--119, 2006.