Richard Gustavson

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All published works

Action	Title	Year	Authors
+ PDF Chat	Generalized Reynolds algebras from Volterra integrals and their free construction by complete shuffle product	2024	Li Guo Richard Gustavson Yunnan Li
+ PDF Chat	A Reduction Algorithm for Volterra Integral Equations	2023	Richard Gustavson Sarah F. Rosen
+	A reduction algorithm for Volterra integral equations	2023	Richard Gustavson Sarah F. Rosen
+ PDF Chat	An algebraic study of Volterra integral equations and their operator linearity	2021	Li Guo Richard Gustavson Yunnan Li
+	An algebraic study of Volterra integral equations and their operator linearity	2020	Li Guo Richard Gustavson Yunnan Li
+ PDF Chat	Effective bounds for the consistency of differential equations	2017	Richard Gustavson Omar León Sánchez
+	New order bounds in differential elimination algorithms	2017	Richard Gustavson Alexey Ovchinnikov Gleb Pogudin
+	Elimination for Systems of Algebraic Differential Equations	2017	Richard Gustavson
+	Bounds for Orders of Derivatives in Differential Elimination Algorithms	2016	Richard Gustavson Alexey Ovchinnikov Gleb Pogudin
+	New effective differential Nullstellensatz	2016	Richard Gustavson M. V. Kondratieva Alexey Ovchinnikov
+	Bounds for orders of derivatives in differential elimination algorithms	2016	Richard Gustavson Alexey Ovchinnikov Gleb Pogudin
+	Effective bounds for the consistency of differential equations	2016	Richard Gustavson Omar León Sánchez
+	A New Bound for the Existence of Differential Field Extensions	2016	Richard Gustavson Omar León Sánchez
+	Effective bounds for the consistency of differential equations	2016	Richard Gustavson Omar León Sánchez
+	Laplacians of Covering Complexes	2011	Richard Gustavson

Common Coauthors

Coauthor	Papers Together
Alexey Ovchinnikov	4
Omar León Sánchez	4
Yunnan Li	3
Gleb Pogudin	3
Sarah F. Rosen	2
Li Guo	2
M. V. Kondratieva	1
Li Guo	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	FIELDS WITH SEVERAL COMMUTING DERIVATIONS	2014	David A. Pierce	7
+	Differential Algebra and Algebraic Groups	2012	E. R. Kolchin	6
+ PDF Chat	Effective uniform bounding in partial differential fields	2015	James Freitag Omar León Sánchez	5
+	On bounds for the effective differential Nullstellensatz	2015	Omar León Sánchez Alexey Ovchinnikov	5
+	Effective differential Nullstellensatz for ordinary DAE systems with constant coefficients	2014	Lisi D’Alfonso Gabriela Jeronimo Pablo Solernó	4
+	Some Properties of Enumeration in the Theory of Modular Systems	1927	F. S. Macaulay	4
+	A bound for orders in differential Nullstellensatz	2009	Oleg Golubitsky M. V. Kondratieva Alexey Ovchinnikov Ágnes Szántó	4
+	New effective differential Nullstellensatz	2016	Richard Gustavson M. V. Kondratieva Alexey Ovchinnikov	4
+ PDF Chat	Computing representations for radicals of finitely generated differential ideals	2009	François Boulier Daniel Lazard François Ollivier Michel Petitot	3
+	On a combinatorial theorem of Macaulay and its applications to the theory of polynomial ideals	2009	Emanuel Sperner	3
+	An ackermannian polynomial ideal	1991	Guillermo Moreno Socías	3
+	The complexity of formal resolution of linear partial differential equations	1995	Brahim Sadik	3
+ PDF Chat	Jacobi’s bound for the order of systems of first order differential equations	1970	Barbara A. Lando	2
+	An elimination theory for differential algebra	1956	A. Seidenberg	2
+	On the Construction of Groebner Basis of a Polynomial Ideal Based on Riquier—Janet Theory	2006	Wenjun Wu	2
+	Sharp estimates for the arithmetic Nullstellensatz	2001	Térésa Krick Luis Miguel Pardo Martı́n Sombra	2
+ PDF Chat	Representation for the radical of a finitely generated differential ideal	1995	François Boulier Daniel Lazard François Ollivier Michel Petitot	2
+ PDF Chat	Notes on Triangular Sets and Triangulation-Decomposition Algorithms II: Differential Systems	2003	Évelyne Hubert	2
+	Corrigendum to “On bounds for the effective differential Nullstellensatz” [J. Algebra 449 (2016) 1–21]	2018	Omar León Sánchez Alexey Ovchinnikov	2
+ PDF Chat	Ackermannian and Primitive-Recursive Bounds with Dickson's Lemma	2011	Diego Figueira Santiago Figueira Sylvain Schmitz Philippe Schnoebelen	2
+	Cohen-Macaulay Rings	1998	Winfried Bruns H. Jürgen Herzog	2
+ PDF Chat	Jet and prolongation spaces	2010	Rahim Moosa Thomas Scanlon	2
+	Bounds for the Degrees in the Nullstellensatz	1987	W. Dale Brownawell	2
+	Iterated integrals in quantum field theory	2013	Francis Brown	2
+ PDF Chat	Complexity of a standard basis of a $D$-module	2009	Dima Grigoriev A. L. Chistov	2
+ PDF Chat	Commutative matching Rota-Baxter operators, shuffle products with decorations and matching Zinbiel algebras	2021	Xing Gao Li Guo Yi Zhang	2
+	A bound for the Rosenfeld–Gröbner algorithm	2008	Oleg Golubitsky M. V. Kondratieva Marc Moreno Maza Alexey Ovchinnikov	2
+	Linear and Nonlinear Integral Equations: Methods and Applications	2012	Abdul‐Majid Wazwaz	2
+	An upper bound for minimizing coefficients of dimension Kolchin polynomial	2010	M. V. Kondratieva	1
+ PDF Chat	On the Betti Numbers of Chessboard Complexes	1998	Joel Friedman Phil Hanlon	1
+ PDF Chat	Derivation and double shuffle relations for multiple zeta values	2006	Kentaro Ihara Masanobu Kaneko Don Zagier	1
+	Shifted simplicial complexes are Laplacian integral	2002	Art M. Duval Victor Reiner	1
+	The modified decomposition method and Padé approximants for solving the Thomas–Fermi equation	1999	Abdul‐Majid Wazwaz	1
+ PDF Chat	Operated semigroups, Motzkin paths and rooted trees	2008	Li Guo	1
+	Factorization-free Decomposition Algorithms in Differential Algebra	2000	Évelyne Hubert	1
+	Effective bounds for the consistency of differential equations	2016	Richard Gustavson Omar León Sánchez	1
+	Model Theory of Differential Fields	2005		1
+ PDF Chat	Sparse Differential Resultant for Laurent Differential Polynomials	2015	Wei Li Chun-Ming Yuan Xiao-Shan Gao	1
+	Bounds for Orders of Derivatives in Differential Elimination Algorithms	2016	Richard Gustavson Alexey Ovchinnikov Gleb Pogudin	1
+	Iterated Integrals of Differential Forms and Loop Space Homology	1973	Kuo-Tsai Chen	1
+ PDF Chat	Sur une classe d’équations fonctionnelles	1903	Ivar Fredholm	1
+	Gian-Carlo Rota on Analysis and Probability	2003		1
+ PDF Chat	On Symbolic Approaches to Integro-Differential Equations	2020	François Boulier François Lemaire Markus Rosenkranz Rosane Ushirobira Nathalie Verdière	1
+ PDF Chat	Algebraic renormalisation of regularity structures	2018	Yvain Bruned Martin Hairer Lorenzo Zambotti	1
+ PDF Chat	Renormalisation and locality: branched zeta values	2020	Pierre J. Clavier Li Guo Sylvie Paycha Bin Zhang	1
+ PDF Chat	CONSTRUCTION OF FREE COMMUTATIVE INTEGRO-DIFFERENTIAL ALGEBRAS BY THE METHOD OF GRÖBNER–SHIRSHOV BASES	2013	Xing Gao Li Guo Shanghua Zheng	1
+	Nonstandard methods for bounds in differential polynomial rings	2012	Matthew Harrison‐Trainor Jack Klys Rahim Moosa	1
+	Matching Rota-Baxter algebras, matching dendriform algebras and matching pre-Lie algebras	2020	Yi Zhang Xing Gao Li Guo	1
+ PDF Chat	An algebraic study of Volterra integral equations and their operator linearity	2021	Li Guo Richard Gustavson Yunnan Li	1
+ PDF Chat	A Differential Analog of the Noether Normalization Lemma	2016	Gleb Pogudin	1