M. V. Hoeij

发表

Factoring Polynomials and the Knapsack Problem

M. V. Hoeij, 2002 .

The perimeter generating functions of three-choice, imperfect, and one-punctured staircase polygons

M. V. Hoeij, J. Maillard, M. Assis, 2016, 1602.00868.

Gonality of the modular curve X1(N)

M. V. Hoeij, M. Derickx, 2013, 1307.5719.

Closed form solutions of linear difference equations

Mark van Hoeij, Yongjae Cha, M. V. Hoeij, 2011 .

AF:Small: Linear Differential Equations with a Convergent Integer Series Solution, Project Description

M. V. Hoeij, 2016 .

Algorithms and differential relations for Belyi functions

M. V. Hoeij, R. Vidunas, 2013, 1305.7218.

Liouvillian solutions of irreducible linear difference equations

Mark van Hoeij, Yongjae Cha, M. V. Hoeij, 2009, ISSAC '09.

AF:Small: Solving Linear Dierential Equations in terms of Special Functions, Project Description

M. V. Hoeij, 2013 .

An algorithm for computing invariants of differential Galois groups

Mark van Hoeij, Jacques-Arthur Weil, Jacques-Arthur Weil, 1997 .

Closed Form Solutions for Linear Dieren tial and Dierence Equations, Project Description

M. V. Hoeij, 2010 .

Low Degree Places on the Modular Curve X1(N)

M. V. Hoeij, 2012, 1202.4355.

The Ising model: from elliptic curves to modular forms and Calabi–Yau equations

Jacques-Arthur Weil, A. Bostan, M. V. Hoeij, 2010, 1007.0535.

Calculating the Galois Group of L 1 (l 2 (y)) = 0, L 1 ; L 2 Completely Reducible Operators

M. V. Hoeij, 1998 .

Decomposing a 4th order linear differential equation as a symmetric product

M. V. Hoeij, 2002 .

The Complexity of Factoring Univariate Polynomials over the Rationals Tutorial

M. V. Hoeij, 2013 .

COMPUTING AN ORDER COMPLETE BASIS FOR M(N) AND APPLICATIONS

M. V. Hoeij, 2019 .

On stringy invariants of GUT vacua

M. V. Hoeij, J. Fullwood, 2012, 1211.6077.

Hirzebruch invariants of elliptic fibrations

M. V. Hoeij, J. Fullwood, 2011, 1111.0017.

F eb 2 01 6 The perimeter generating functions of three-choice , imperfect , and 1-punctured staircase polygons

M. V. Hoeij, J. Maillard, M. Assis, 2018 .

Stringy Hirzebruch classes of Weierstrass fibrations

M. V. Hoeij, J. Fullwood, 2018, Communications in Number Theory and Physics.

An algorithm for computing the Weierstrass normal form

M. V. Hoeij, 1995, ISSAC '95.

On Random Code-Based Secret Locking Schemes

M. V. Hoeij, 2006 .

Iterated Elliptic and Hypergeometric Integrals for Feynman Diagrams pdf

Mark van Hoeij, Carsten Schneider, Clemens G. Raab, 2017, Journal of Mathematical Physics.

Solving third order linear differential equations in terms of second order equations

Mark van Hoeij, M. V. Hoeij, 2007, ISSAC '07.

Belyi functions for hyperbolic hypergeometric-to-Heun transformations

Mark van Hoeij, Raimundas Vidunas, M. V. Hoeij, 2012, 1212.3803.

Computing Hypergeometric Solutions of Second Order Linear Differential Equations using Quotients of Formal Solutions pdf

Mark van Hoeij, Erdal Imamoglu, M. V. Hoeij, 2015, J. Symb. Comput..

Second order differential equations with hypergeometric solutions of degree three

Mark van Hoeij, Vijay Jung Kunwar, M. V. Hoeij, 2013, ISSAC '13.

Solving differential equations in terms of bessel functions

Mark van Hoeij, Wolfram Koepf, Ruben Debeerst, 2008, ISSAC '08.

Solving second order linear differential equations with Klein's theorem

Mark van Hoeij, Jacques-Arthur Weil, Jacques-Arthur Weil, 2005, ISSAC.

Computing parameterizations of rational algebraic curves

Mark van Hoeij, M. V. Hoeij, 1994, ISSAC '94.

Computing Riemann theta functions

Bernard Deconinck, Mark van Hoeij, Markus Schmies, 2002, Math. Comput..

Computing Riemann matrices of algebraic curves

Bernard Deconinck, Mark van Hoeij, M. V. Hoeij, 2001 .

An Algorithm for Computing an Integral Basis in an Algebraic Function Field

Mark van Hoeij, M. V. Hoeij, 1994, J. Symb. Comput..

Generating subfields

Mark van Hoeij, Andrew Novocin, Jürgen Klüners, 2011, ISSAC '11.

A Modular Algorithm for Computing Polynomial GCDs over Number Fields presented with Multiple Extensions pdf

Mark van Hoeij, Michael B. Monagan, M. Monagan, 2016, ArXiv.

Solving conics over function fields

Mark van Hoeij, John Cremona, J. Cremona, 2006 .

Finite singularities and hypergeometric solutions of linear recurrence equations

Mark van Hoeij, M. V. Hoeij, 1999 .

Factorization of Differential Operators with Rational Functions Coefficients

Mark van Hoeij, M. V. Hoeij, 1997, J. Symb. Comput..

Reduction-Based Creative Telescoping for Fuchsian D-finite Functions pdf

Mark van Hoeij, Manuel Kauers, Shaoshi Chen, 2016, J. Symb. Comput..

Finding all bessel type solutions for linear differential equations with rational function coefficients

Mark van Hoeij, Quan Yuan, M. V. Hoeij, 2010, ISSAC.

Formal Solutions and Factorization of Differential Operators with Power Series Coefficients

Mark van Hoeij, M. V. Hoeij, 1997, J. Symb. Comput..

Rational Parametrizations of Algebraic Curves Using a Canonical Divisor

Mark van Hoeij, M. V. Hoeij, 1997, J. Symb. Comput..

Computing an Order-Complete Basis for $$M^{\infty }(N)$$ and Applications

Mark van Hoeij, Cristian-Silviu Radu, M. V. Hoeij, 2019, Transcendence in Algebra, Combinatorics, Geometry and Number Theory.

Sporadic cubic torsion

Mark van Hoeij, Jackson S. Morrow, Maarten Derickx, 2020, Algebra & Number Theory.

Functional Decomposition Using Principal Subfields

Mark van Hoeij, Luiz Emilio Allem, Juliane G. Capaverde, 2017, ISSAC.

Practical polynomial factoring in polynomial time

Mark van Hoeij, William Hart, Andrew Novocin, 2011, ISSAC '11.

Gradual Sub-lattice Reduction and a New Complexity for Factoring Polynomials

A. Novocin, M. V. Hoeij, 2010, Algorithmica.

Factoring univariate polynomials over the rationals

Mark van Hoeij, Andrew Novocin, A. Novocin, 2009, ACCA.

Factoring polynomials over global fields

J. Klueners, K. Belabas, M. V. Hoeij, 2004, math/0409510.

Apparent singularities of linear difference equations with polynomial coefficients

S. Abramov, M. V. Hoeij, M. Barkatou, 2004, Applicable Algebra in Engineering, Communication and Computing.

Towards factoring bivariate approximate polynomials

Stephen M. Watt, Robert M. Corless, Mark van Hoeij, 2001, ISSAC '01.

Liouvillian Solutions of Linear Differential Equations of Order Three and Higher

Mark van Hoeij, Felix Ulmer, Jacques-Arthur Weil, 1999, J. Symb. Comput..

Subanalytic solutions of linear difference equations and multidimensional hypergeometric sequences

Moulay A. Barkatou, Mark van Hoeij, Sergei A. Abramov, 2011, J. Symb. Comput..

Enumerative Combinatorics

A. Bostan, M. V. Hoeij, Manuel Kauers, 2023, Oberwolfach Reports.

Explicit formula for the generating series of diagonal 3D rook paths pdf

Mark van Hoeij, Alin Bostan, Frédéric Chyzak, 2011, ArXiv.

Closed form solutions of linear odes having elliptic function coefficients

George Labahn, Reinhold Burger, Mark van Hoeij, 2004, ISSAC '04.

Algorithms for polynomial GCD computation over algebraic function fields

Mark van Hoeij, Michael B. Monagan, M. Monagan, 2004, ISSAC '04.

The Complexity of Computing all Subfields of an Algebraic Number Field

Mark van Hoeij, Jonas Szutkoski, M. V. Hoeij, 2016, J. Symb. Comput..

The complexity of factoring univariatepolynomials over the rationals: tutorial abstract

Mark van Hoeij, M. V. Hoeij, 2013, ISSAC '13.

Practical polynomial factoring in polynomial time

A. Novocin, M. V. Hoeij, W. Hart, 2011, ISSAC '11.

Isomorphisms of Algebraic Number Fields pdf

Mark van Hoeij, Vivek Pal, M. V. Hoeij, 2010, ArXiv.

Solving conics over Q(t1,..,tk)

M. V. Hoeij, 2004, math/0410372.

Factoring Polynomials and 0-1 Vectors

Mark van Hoeij, M. V. Hoeij, 2001, CaLC.

Isomorphisms of Algebraic Number Fields par

M. V. Hoeij, 2012 .

Complexity results for factoring univariate polynomials over the rationals ( version 0 . 3 )

Mark van Hoeij, Andrew Novocin, A. Novocin, 2007 .

The Ising model: from elliptic curves to modular forms and Calabi–Yau equations

M. V. Hoeij, N. Zenine, S. Boukraa, 2013 .

Algorithms for computing congruences between modular forms

M. V. Hoeij, Amod Agashe, R. Heaton, 2012 .

The small Heisenberg group and `-adic representations from Hurwitz spaces

M. Fried, M. V. Hoeij, 2014 .

`-adic representations from Hurwitz spaces

M. Fried, M. V. Hoeij, 2013 .

Hypergeometric expressions for generating functions of walks with small steps in the quarter plane pdf

Mark van Hoeij, Manuel Kauers, Alin Bostan, 2016, Eur. J. Comb..

A modular algorithm for computing the exponential solutions of a linear differential operator

Mark van Hoeij, Thomas Cluzeau, T. Cluzeau, 2004, J. Symb. Comput..

Computing Hypergeometric Solutions of Linear Recurrence Equations

Mark van Hoeij, Thomas Cluzeau, T. Cluzeau, 2006, Applicable Algebra in Engineering, Communication and Computing.

Rational solutions of linear difference equations

Mark van Hoeij, M. V. Hoeij, 1998, ISSAC '98.

Solving Order 3 Difference Equations

M. V. Hoeij, Heba Bou KaedBey, Man Cheung Tsui, 2024, 2402.03868.

Hypergeometric Solutions of Linear Difference Systems

M. V. Hoeij, J. Middeke, M. Barkatou, 2024, ArXiv.

Desingularization and p-Curvature of Recurrence Operators

M. V. Hoeij, Yi Zhou, 2022, ISSAC.

Closed Form Solutions for Linear Differential and Difference Equations

Mark van Hoeij, M. V. Hoeij, 2017, ISSAC.

Diagonal Ising susceptibility: elliptic integrals, modular forms and Calabi–Yau equations

B. McCoy, M. V. Hoeij, S. Boukraa, 2011, 1110.1705.

2-descent for second order linear differential equations

Mark van Hoeij, Tingting Fang, M. V. Hoeij, 2011, ISSAC '11.

Finding all bessel type solutions for linear differential equations with rational function coefficients

M. V. Hoeij, Quan Yuan, 2010, ISSAC.

Rational Solutions of the Mixed Differential Equation and Its Application to Factorization of Differential Operators

Mark van Hoeij, M. V. Hoeij, 1996, ISSAC.

Factorization of linear differential operators

M. V. Hoeij, M.H.F. van Hoeij, 1996 .

The ρ parameter at three loops and elliptic integrals

J. Blumlein, M. V. Hoeij, P. Marquard, 2018, Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018).