Guoce Xin

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Person:344451

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zbMath Open xin.guoceMaRDI QIDQ344451

List of research outcomes

PublicationDate of PublicationType
A parking function interpretation for $(-1)^{k}\nabla m_{2^{k}1^{l}}$2023-12-27Paper
An algebraic combinatorial approach to Sylvester's denumerant2023-12-03Paper
Inverting the General Order Sweep Map2023-07-28Paper
On magic distinct labellings of simple graphs2023-06-29Paper
A Note on Generalized Repunit Numerical Semigroups2023-06-19Paper
A Combinatorial Model of Numerical Semigroup2023-06-06Paper
The Frobenius Formula for $A=(a,ha+d,ha+b_2d,...,ha+b_kd)$2023-04-18Paper
A Combinatorial Approach to Frobenius Numbers of Some Special Sequences (Complete Version)2023-03-13Paper
A polynomial time algorithm for calculating Fourier-Dedekind sums2023-03-02Paper
Proving some conjectures on Kekulé numbers for certain benzenoids by using Chebyshev polynomials2023-03-01Paper
Dinv, area, and bounce for \(\overrightarrow{k} \)-Dyck paths2022-12-08Paper
Symmetric function generalizations of the $q$-Baker--Forrester ex-conjecture and Selberg-type integrals2022-10-24Paper
On Frobenius Formulas of Power Sequences2022-10-06Paper
The constant term algebra of type $A$: the Structure2022-09-30Paper
Proof of a conjecture on Hankel determinants for Dyck paths with restricted peak heights2022-09-26Paper
Proving some conjectures on Kekul\'{e} numbers for certain benzenoids by using Chebyshev polynomials2022-01-07Paper
Enumerating Magic Distinct Labellings of the Cube2021-07-12Paper
An explicit order matching for $L(3,n)$ from several approaches and its extension for $L(4,n)$2021-04-22Paper
The $q,t$-symmetry of the generalized $q,t$-Catalan number $C_{(k_1,k_2,k_3)}(q,t)$ and $C_{(k,k,k,k)}(q,t)$2021-04-09Paper
Using edge generating function to solve monomer-dimer problem2021-02-02Paper
On the sweep map for fuss rational Dyck paths2020-02-27Paper
On parity unimodality of \(q\)-Catalan polynomials2020-01-17Paper
On the sweep map for \(\vec{k}\)-Dyck paths2019-09-30Paper
Hankel determinants for convolution powers of Catalan numbers2019-07-18Paper
Compositional (km,kn)-Shuffle Conjectures2018-12-12Paper
Inverting the rational sweep map2018-12-10Paper
Hankel determinants and shifted periodic continued fractions2018-12-06Paper
On the Schur positivity of \(\Delta_{e_{2}} e_n[X\)]2018-10-30Paper
https://portal.mardi4nfdi.de/entity/Q45840802018-08-29Paper
A Proof the Functional Equation Conjecture2018-06-08Paper
A classification of Motzkin numbers modulo 82018-05-25Paper
https://portal.mardi4nfdi.de/entity/Q45913402017-11-14Paper
A note on rank complement of rational Dyck paths and conjugation of \((m,n)\)-core partitions2017-09-20Paper
Lecture notes on the Carlsson-Mellit proof of the shuffle conjecture2017-05-22Paper
Some new applications of the Stanley-Macdonald Pieri Rules2017-05-18Paper
Dinv and area2017-04-10Paper
Hermite reduction and creative telescoping for hyperexponential functions2017-02-10Paper
A new plethystic symmetric function operator and the rational compositional shuffle conjecture at \(t=1/q\)2017-02-09Paper
Some remarkable new plethystic operators in the theory of Macdonald polynomials2016-11-22Paper
Hankel Determinant Solutions to Several Discrete Integrable Systems and the Laurent Property2015-05-20Paper
An efficient search algorithm for inverting the sweep map on rational Dyck paths2015-05-04Paper
A Euclid style algorithm for MacMahon's partition analysis2014-12-19Paper
A three shuffle case of the compositional parking function conjecture2014-01-31Paper
Residue reduced form of a rational function as an iterated Laurent series2013-06-07Paper
KRONECKER COEFFICIENTS VIA SYMMETRIC FUNCTIONS AND CONSTANT TERM IDENTITIES2012-06-04Paper
A short approach to Catalan numbers modulo \(2^r\)2011-10-18Paper
MacMahon partition analysis and the Poincaré series of the algebras of invariants of ternary and quaternary forms2011-09-01Paper
On Zeilberger's constant term for Andrew's TSSCPP theorem2011-06-24Paper
Determinant formulas relating to tableaux of bounded height2010-07-13Paper
Enumeration of bilaterally symmetric 3-noncrossing partitions2009-06-19Paper
Invariants, Kronecker products, and combinatorics of some remarkable Diophantine systems2009-04-14Paper
Two coefficients of the Dyson product2009-04-07Paper
A family of \(q\)-Dyson style constant term identities2009-03-04Paper
Permutations with extremal number of fixed points2009-03-04Paper
Proof of the Somos-4 Hankel determinants conjecture2009-03-02Paper
A unified elementary approach to the Dyson, Morris, Aomoto, and Forrester constant term identities2008-12-08Paper
Constructing all magic squares of order three2008-07-11Paper
https://portal.mardi4nfdi.de/entity/Q53874862008-05-13Paper
Hankel determinants for some common lattice paths2008-03-05Paper
Generalization of Stanley's monster reciprocity theorem2007-11-07Paper
Wilf-equivalence for singleton classes2007-08-27Paper
The generating function of ternary trees and continued fractions2006-08-30Paper
A short proof of the Zeilberger-Bressoud $q$-Dyson theorem2006-04-24Paper
On partitions avoiding 3-crossings2006-03-20Paper
A residue theorem for Malcev-Neumann series.2006-03-08Paper
https://portal.mardi4nfdi.de/entity/Q30240232005-07-11Paper
A fast algorithm for MacMahon's partition analysis2004-10-13Paper
Counting Lattice Paths By Gessel Pairs2004-09-14Paper
A Fast Algorithm for Partial Fraction Decompositions2004-08-13Paper
Proof of a conjecture on the slit plane problem2004-08-06Paper
The Ring of Malcev-Neumann Series and the Residue Theorem2004-05-07Paper

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