David J. Grynkiewicz

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All published works

Action	Title	Year	Authors
+ PDF Chat	The $3k-4$ Theorem modulo a Prime: High Density for $A+B$	2024	David J. Grynkiewicz
+	Structure of a sequence with prescribed zero-sum subsequences: Rank two <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e22" altimg="si22.svg"><mml:mi>p</mml:mi></mml:math>-groups	2023	John J. Ebert David J. Grynkiewicz
+	A Generalization of the Chevalley–Warning and Ax–Katz Theorems with a View Towards Combinatorial Number Theory	2023	David J. Grynkiewicz
+ PDF Chat	A Multiplicative Property for Zero-Sums II	2022	David J. Grynkiewicz Chao Liu
+	A multiplicative property for zero-sums I	2022	David J. Grynkiewicz Chao Liu
+ PDF Chat	The Characterization of Finite Elasticities	2022	David J. Grynkiewicz
+	A Generalization of the Chevalley-Warning and Ax-Katz Theorems with a View Towards Combinatorial Number Theory	2022	David J. Grynkiewicz
+	Structure of a sequence with prescribed zero-sum subsequences: Rank Two $p$-groups	2022	John P. Ebert David J. Grynkiewicz
+	Introduction	2022	David J. Grynkiewicz
+	Finitary Sets	2022	David J. Grynkiewicz
+	Preliminaries and General Notation	2022	David J. Grynkiewicz
+	Asymptotically Filtered Sequences, Encasement and Boundedness	2022	David J. Grynkiewicz
+	Factorization Theory	2022	David J. Grynkiewicz
+	Inverse Zero-Sum Problems III: Addendum	2021	David J. Grynkiewicz
+ PDF Chat	On sets with small sumset and m-sum-free sets in Z/pZ	2021	Pablo Candela David G Gonzalez-Sanchez David J. Grynkiewicz
+ PDF Chat	Representing Sequence Subsums as Sumsets of Near Equal Sized Sets	2021	David J. Grynkiewicz
+	A Multiplicative Property for Zero-Sums II	2021	David J. Grynkiewicz Chao Liu
+	Inverse Zero-Sum Problems III: Addendum	2021	David J. Grynkiewicz
+	A Multiplicative Property for Zero-Sums I	2021	David J. Grynkiewicz Chao Liu
+	On product-one sequences over dihedral groups	2020	Alfred Geroldinger David J. Grynkiewicz Jun Seok Oh Qinghai Zhong
+	A single set improvement to the 3k − 4 theorem	2020	David J. Grynkiewicz
+	The Characterization of Finite Elasticities	2020	David J. Grynkiewicz
+	A Single Set Improvement to the $3k-4$ Theorem	2019	David J. Grynkiewicz
+	Representing Sequence Subsums as Sumsets of Near Equal Sized Sets	2019	David J. Grynkiewicz
+	On sets with small sumset and m-sum-free sets in Z/pZ	2019	Pablo Candela Diego González-Sánchez David J. Grynkiewicz
+ PDF Chat	Iterated sumsets and setpartitions	2019	David J. Grynkiewicz
+	A step towards the 3k-4 conjecture in Z/pZ and an application to m-sum-free sets	2019	Pablo Candela Diego González-Sánchez David J. Grynkiewicz
+	On a conjecture of Fox–Kleitman and additive combinatorics	2019	Sukumar Das Adhikari R. Balasubramanian Shalom Eliahou David J. Grynkiewicz
+	On product-one sequences over dihedral groups	2019	Alfred Geroldinger David J. Grynkiewicz Jun Seok Oh Qinghai Zhong
+	A Single Set Improvement to the $3k-4$ Theorem	2019	David J. Grynkiewicz
+	Representing Sequence Subsums as Sumsets of Near Equal Sized Sets	2019	David J. Grynkiewicz
+	On sets with small sumset and m-sum-free sets in Z/pZ	2019	Pablo Candela Diego González-Sánchez David J. Grynkiewicz
+	Iterated sumsets and subsequence sums	2018	David J. Grynkiewicz
+	Iterated Sumsets and Olson's Generalization of the Erdős-Ginzburg-Ziv Theorem	2018	David J. Grynkiewicz
+	On the degree of regularity of a particular linear equation	2018	Sukumar Das Adhikari R. Balasubramanian Shalom Eliahou David J. Grynkiewicz
+	Iterated Sumsets and Setpartitions	2017	David J. Grynkiewicz
+	Iterated Sumsets and Subsequence Sums	2017	David J. Grynkiewicz
+	Iterated Sumsets and Setpartitions	2017	David J. Grynkiewicz
+	Iterated Sumsets and Subsequence Sums	2017	David J. Grynkiewicz
+	PLANAR SUBSETS WITH SMALL DOUBLING	2016	David J. Grynkiewicz
+	Kummer spaces in symbol algebras of prime degree	2016	Adam Chapman David J. Grynkiewicz Eliyahu Matzri Louis Rowen Uzi Vishne
+	Symmetric Kneser's Theorem with Trios and $3$-Transform	2016	David J. Grynkiewicz Vsevolod F. Lev
+	On<i>n</i>-Sums in an Abelian Group	2015	Weidong Gao David J. Grynkiewicz Xia Xing-wu
+	On three sets with nondecreasing diameter	2015	Daniel Irving Bernstein David J. Grynkiewicz Carl Yerger
+	ON PRODUCTS OF k ATOMS II	2015	Alfred Geroldinger David J. Grynkiewicz Pingzhi Yuan
+	Kummer Spaces in Cyclic Algebras of Prime Degree	2015	Adam Chapman David J. Grynkiewicz Eliyahu Matzri Louis Rowen Uzi Vishne
+	On products of k atoms II	2015	Alfred Geroldinger David J. Grynkiewicz Pingzhi Yuan
+	On Three Sets with Nondecreasing Diameter	2014	Daniel Irving Bernstein David J. Grynkiewicz Carl Yerger
+ PDF Chat	A semigroup-theoretical view of direct-sum decompositions and associated combinatorial problems	2014	Nicholas R. Baeth Alfred Geroldinger David J. Grynkiewicz Daniel Smertnig
+	Kummer Spaces in Cyclic Algebras of Prime Degree	2014	Adam Chapman David J. Grynkiewicz Eliyahu Matzri Louis Rowen Uzi Vishne
+	On Three Sets with Nondecreasing Diameter	2014	Daniel Bernstein David J. Grynkiewicz Carl Yerger
+	Products of two atoms in Krull monoids and arithmetical characterizations of class groups	2013	Paul Baginski Alfred Geroldinger David J. Grynkiewicz Andreas Philipp
+	The large Davenport constant II: General upper bounds	2013	David J. Grynkiewicz
+	Kemperman’s Critical Pair Theory	2013	David J. Grynkiewicz
+	Zero-Sums, Setpartitions and Subsequence Sums	2013	David J. Grynkiewicz
+	Group Algebras: An Upper Bound for the Davenport Constant	2013	David J. Grynkiewicz
+	Compression, Complements and the 3k−4 Theorem	2013	David J. Grynkiewicz
+	Periodic Sets and Kneser’s Theorem	2013	David J. Grynkiewicz
+	The DeVos-Goddyn-Mohar Theorem	2013	David J. Grynkiewicz
+	Long Zero-Sum Free Sequences over Cyclic Groups	2013	David J. Grynkiewicz
+	Freiman Homomorphisms Revisited	2013	David J. Grynkiewicz
+	Character Sum and Fourier Analytic Methods: r-Critical Pairs I	2013	David J. Grynkiewicz
+	Abelian Groups and Character Sums	2013	David J. Grynkiewicz
+	Basic Results for Sumsets with an Infinite Summand	2013	David J. Grynkiewicz
+	Simple Results for Torsion-Free Abelian Groups	2013	David J. Grynkiewicz
+	The Partition Theorem II	2013	David J. Grynkiewicz
+	Character and Linear Algebraic Methods: Snevily’s Conjecture	2013	David J. Grynkiewicz
+	ARITHMETIC-PROGRESSION-WEIGHTED	2013	David J. Grynkiewicz Andreas Philipp Vadim Ponomarenko
+	Additive Energy	2013	David J. Grynkiewicz
+	The Pigeonhole and Multiplicity Bounds	2013	David J. Grynkiewicz
+	The Ψ-Weighted Gao Theorem	2013	David J. Grynkiewicz
+	Pollard’s Theorem for General Abelian Groups	2013	David J. Grynkiewicz
+	Introduction to Sumsets	2013	David J. Grynkiewicz
+	The Polynomial Method: The Erdős-Heilbronn Conjecture	2013	David J. Grynkiewicz
+ PDF Chat	Arithmetic-progression-weighted subsequence sums	2012	David J. Grynkiewicz Andreas Philipp Vadim Ponomarenko
+	The large Davenport constant I: Groups with a cyclic, index <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mn>2</mml:mn></mml:math> subgroup	2012	Alfred Geroldinger David J. Grynkiewicz
+ PDF Chat	A weighted generalization of two theorems of Gao	2012	David J. Grynkiewicz Luz Elimar Marchan Óscar Ordaz
+ PDF Chat	Inverse additive problems for Minkowski sumsets I	2012	Gregory A. Freiman David J. Grynkiewicz Oriol Serra Yonutz V. Stanchescu
+	The Large Davenport Constant II: General Upper Bounds	2012	David J. Grynkiewicz
+	The Large Davenport Constant I: Groups with a Cyclic, Index 2 Subgroup	2012	Alfred Geroldinger David J. Grynkiewicz
+	On weighted zero-sum sequences	2011	Sukumar Das Adhikari David J. Grynkiewicz Zhi‐Wei Sun
+ PDF Chat	Inverse Additive Problems for Minkowski Sumsets II	2011	Gregory A. Freiman David J. Grynkiewicz Oriol Serra Yonutz V. Stanchescu
+	Note on a conjecture of Graham	2011	David J. Grynkiewicz
+	Arithmetic-Progression-Weighted Subsequence Sums	2011	David J. Grynkiewicz Andreas Philipp Vadim Ponomarenko
+ PDF Chat	Zero-sum problems with congruence conditions	2011	Alfred Geroldinger David J. Grynkiewicz Wolfgang Schmid
+ PDF Chat	The catenary degree of Krull monoids I	2011	Alfred Geroldinger David J. Grynkiewicz Wolfgang Schmid
+	Arithmetic-Progression-Weighted Subsequence Sums	2011	David J. Grynkiewicz Andreas Philipp Vadim Ponomarenko
+	Zero-sum problems with congruence conditions	2010	Alfred Geroldinger David J. Grynkiewicz Wolfgang Schmid
+ PDF Chat	On extending Pollard’s theorem for t-representable sums	2010	David J. Grynkiewicz
+ PDF Chat	On the arithmetic of Krull monoids with infinite cyclic class group	2010	A. Geroldinger David J. Grynkiewicz George J. Schaeffer Wolfgang Schmid
+	1-Saturating Sets, Caps, and Doubling-Critical Sets in Binary Spaces	2010	David J. Grynkiewicz Vsevolod F. Lev
+	Long Arithmetic Progressions in Small Sumsets	2010	Itziar Bardají David J. Grynkiewicz
+ PDF Chat	Inverse zero-sum problems III	2010	Weidong Gao Alfred Geroldinger David J. Grynkiewicz
+	On weighted zero-sum sequences	2010	Sukumar Das Adhikari David J. Grynkiewicz Zhi‐Wei Sun
+	Zero-sum problems with congruence conditions	2010	Alfred Geroldinger David J. Grynkiewicz Wolfgang Schmid
+ PDF Chat	A Step Beyond Kemperman's Structure Theorem	2009	David J. Grynkiewicz
+ PDF Chat	Properties of two-dimensional sets with small sumset	2009	David J. Grynkiewicz Oriol Serra
+	Long Arithmetic Progressions in Sets with Small Sumset	2009	Itziar Bardají David J. Grynkiewicz
+	A Weighted Generalization of Two Theorems of Gao	2009	David J. Grynkiewicz Luz Elimar Marchan Óscar Ordaz
+	ON THE STRUCTURE OF MINIMAL ZERO-SUM SEQUENCES WITH MAXIMAL CROSS NUMBER	2009	Alfred Geroldinger David J. Grynkiewicz
+	Note on a Conjecture of Graham	2009	David J. Grynkiewicz
+	On the arithmetic of Krull monoids with infinite cyclic class group	2009	Alfred Geroldinger David J. Grynkiewicz George J. Schaeffer Wolfgang Schmid
+ PDF Chat	Representation of finite abelian group elements by subsequence sums	2009	David J. Grynkiewicz Luz Elimar Marchan Óscar Ordaz
+	On the arithmetic of Krull monoids with finite Davenport constant	2008	Alfred Geroldinger David J. Grynkiewicz
+ PDF Chat	Connectivity of addition Cayley graphs	2008	David J. Grynkiewicz Vsevolod F. Lev Oriol Serra
+	1-Saturating Sets, Caps and Round Sets in Binary Spaces	2008	David J. Grynkiewicz Vsevolod F. Lev
+	Representation of Finite Abelian Group Elements by Subsequence Sums	2008	David J. Grynkiewicz E. Marchan Óscar Ordaz
+	Inverse Zero-Sum Problems III	2008	Weidong Gao Alfred Geroldinger David J. Grynkiewicz
+	On Extending Pollard's Theorem for t-Representable Sums	2008	David J. Grynkiewicz
+ PDF Chat	The Connectivity of addition Cayley graphs	2007	David J. Grynkiewicz Vsevolod F. Lev Oriol Serra
+	Weighted Sequences in Finite Cyclic Groups	2007	David J. Grynkiewicz Jujuan Zhuang
+	A Step Beyond Kemperman's Structure Theorem	2007	David J. Grynkiewicz
+ PDF Chat	On Erdős–Ginzburg–Ziv inverse theorems	2007	David J. Grynkiewicz Óscar Ordaz Marı́a Teresa Varela Felicia Villarroel
+	Connectivity of Addition Cayley Graphs	2007	David J. Grynkiewicz Oriol Serra Vsevolod F. Lev
+	Properties of two dimensional sets with small sumset	2007	David J. Grynkiewicz Oriol Serra
+	On the Intersection of two m-sets and the Erdos-Ginzburg-Ziv Theorem.	2007	Arie Bialostocki David J. Grynkiewicz
+ PDF Chat	A Weighted Erdős-Ginzburg-Ziv Theorem	2006	David J. Grynkiewicz
+ PDF Chat	Monochromatic and Zero-Sum Sets of Nondecreasing Modified Diameter	2006	David J. Grynkiewicz Rasheed Sabar
+ PDF Chat	On the number of m-term zero-sum subsequences	2006	David J. Grynkiewicz
+	Sumsets, Zero-Sums and Extremal Combinatorics	2006	David J. Grynkiewicz
+	On a Conjecture of Hamidoune for Subsequence Sums	2005	David J. Grynkiewicz
+ PDF Chat	On a Conjecture of Hamidoune for Subsequence Sums	2005	David J. Grynkiewicz
+	On a partition analog of the Cauchy-Davenport theorem	2005	David J. Grynkiewicz
+	On four color monochromatic sets with nondecreasing diameter	2005	David J. Grynkiewicz
+	An extension of the Erdős–Ginzburg–Ziv Theorem to hypergraphs	2004	David J. Grynkiewicz
+	Quasi-periodic decompositions and the Kemperman structure theorem	2004	David J. Grynkiewicz
+	On some Rado numbers for generalized arithmetic progressions	2003	David J. Grynkiewicz
+ PDF Chat	On some developments of the Erdős–Ginzburg–Ziv Theorem II	2003	Arie Bialostocki P. Dierker David J. Grynkiewicz Mark Lotspeich
+	On Four Colored Sets with Nondecreasing Diameter and the Erdős–Ginzburg–Ziv Theorem	2002	David J. Grynkiewicz

Common Coauthors

Coauthor	Papers Together
Alfred Geroldinger	17
Oriol Serra	7
Vsevolod F. Lev	6
Wolfgang Schmid	6
Andreas Philipp	5
Óscar Ordaz	5
Vadim Ponomarenko	4
Pablo Candela	4
Sukumar Das Adhikari	4
Louis Rowen	3
Luz Elimar Marchan	3
Eliyahu Matzri	3
Weidong Gao	3
Carl Yerger	3
Uzi Vishne	3
Diego González-Sánchez	3
Adam Chapman	3
Jun Seok Oh	2
Shalom Eliahou	2
Qinghai Zhong	2
Itziar Bardají	2
Arie Bialostocki	2
George J. Schaeffer	2
Pingzhi Yuan	2
Daniel Irving Bernstein	2
Gregory A. Freiman	2
Yonutz V. Stanchescu	2
Zhi‐Wei Sun	2
R. Balasubramanian	2
Rasheed Sabar	1
Felicia Villarroel	1
Xia Xing-wu	1
P. Dierker	1
Nicholas R. Baeth	1
Paul Baginski	1
Chao Liu	1
David G Gonzalez-Sanchez	1
Mark Lotspeich	1
Alfred Geroldinger	1
Chao Liu	1
Chao Liu	1
Jujuan Zhuang	1
E. Marchan	1
John P. Ebert	1
John J. Ebert	1
Chao Liu	1
Marı́a Teresa Varela	1
Daniel Smertnig	1
Daniel Bernstein	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Additive number theory: inverse problems and the geometry of sumsets	1997	Melvyn B. Nathanson	39
+	Non-Unique Factorizations	2006	Alfred Geroldinger Franz Halter‐Koch	29
+	On a Conjecture of Hamidoune for Subsequence Sums	2005	David J. Grynkiewicz	28
+ PDF Chat	On some developments of the Erdős–Ginzburg–Ziv Theorem II	2003	Arie Bialostocki P. Dierker David J. Grynkiewicz Mark Lotspeich	27
+	Combinatorial Number Theory and Additive Group Theory	2009	Alfred Geroldinger Imre Z. Ruzsa	27
+	Ein Satz �ber abelsche Gruppen mit Anwendungen auf die Geometrie der Zahlen	1954	Martin Kneser	25
+	On a partition analog of the Cauchy-Davenport theorem	2005	David J. Grynkiewicz	25
+	Zero-sum problems — A survey	1996	Yair Caro	23
+ PDF Chat	A theorem in additive number theory	1969	Roger Crocker	22
+	Zero-sum problems in finite abelian groups: A survey	2006	Weidong Gao Alfred Geroldinger	21
+ PDF Chat	On small sumsets in an abelian group	1960	J. H. B. Kemperman	20
+ PDF Chat	A Weighted Erdős-Ginzburg-Ziv Theorem	2006	David J. Grynkiewicz	16
+	Absch�tzung der asymptotischen Dichte von Summenmengen	1953	Martin Kneser	16
+	Two addition theorems	1967	Henry B. Mann	15
+	On Four Colored Sets with Nondecreasing Diameter and the Erdős–Ginzburg–Ziv Theorem	2002	David J. Grynkiewicz	15
+	An extension of the Erdős–Ginzburg–Ziv Theorem to hypergraphs	2004	David J. Grynkiewicz	14
+	Quasi-periodic decompositions and the Kemperman structure theorem	2004	David J. Grynkiewicz	14
+	Addition Theorems for Finite Abelian Groups	1995	Weidong Gao	14
+	Non-unique factorizations	2006	Alfred Geroldinger	14
+	On the Erdős-Ginzburg-Ziv theorem and the Ramsey numbers for stars and matchings	1992	Arie Bialostocki P. Dierker	14
+ PDF Chat	Inverse zero-sum problems III	2010	Weidong Gao Alfred Geroldinger David J. Grynkiewicz	14
+	Additive Combinatorics	2006	Terence Tao Van H. Vu	13
+ PDF Chat	Representation of finite abelian group elements by subsequence sums	2009	David J. Grynkiewicz Luz Elimar Marchan Óscar Ordaz	13
+	Monochromatic and zero-sum sets of nondecreasing diameter	1995	Arie Bialostocki Paul Erdős Hanno Lefmann	13
+	Ideal Systems: An Introduction to Multiplicative Ideal Theory	1998	Franz Halter‐Koch	13
+ PDF Chat	On the Olson and the Strong Davenport constants	2011	Óscar Ordaz Andreas Philipp Irene Santos Wolfgang Schmid	12
+ PDF Chat	Monochromatic and Zero-Sum Sets of Nondecreasing Modified Diameter	2006	David J. Grynkiewicz Rasheed Sabar	12
+	A generalization of Kneser's Addition Theorem	2008	Matt DeVos Luis Goddyn Bojan Mohar	11
+ PDF Chat	On Kemnitz’ conjecture concerning lattice-points in the plane	2006	Christian Reiher	11
+	Sumsets, Zero-Sums and Extremal Combinatorics	2006	David J. Grynkiewicz	11
+	The Number of k-Sums Modulo k	1999	Béla Bollobás Imre Leader	11
+ PDF Chat	Inverse zero-sum problems II	2010	Wolfgang Schmid	10
+	On weighted sums in abelian groups	1996	Yahya Ould Hamidoune	10
+ PDF Chat	The structure of maximal zero-sum free sequences	2010	Gautami Bhowmik Immanuel Halupczok Jan‐Christoph Schlage‐Puchta	10
+ PDF Chat	Remarks on a generalization of the Davenport constant	2010	Michael Freeze Wolfgang Schmid	10
+	On Weighted Sequence Sums	1995	Yahya Ould Hamidoune	10
+	On products of k atoms	2008	Weidong Gao Alfred Geroldinger	9
+	On the arithmetic of tame monoids with applications to Krull monoids and Mori domains	2010	Alfred Geroldinger Florian Kainrath	9
+	Davenport constant with weights and some related questions, II	2007	Sukumar Das Adhikari Yong-Gao Chen	9
+	Weighted sums in finite cyclic groups	2004	Weidong Gao Xue Jin	8
+ PDF Chat	Contributions to zero-sum problems	2005	Sukumar Das Adhikari Yanhan Chen John Friedlander Sergeĭ Konyagin Francesco Pappalardi	8
+	Zero Sums in Abelian Groups	1998	Weidong Gao Yahya Ould Hamidoune	8
+	Davenport constant with weights and some related questions.	2006	Sukumar Das Adhikari Purusottam Rath	8
+	CRITICAL PAIRS IN ABELIAN GROUPS AND KEMPERMAN'S STRUCTURE THEOREM	2006	Vsevolod F. Lev	8
+ PDF Chat	On a variant of the Erdős-Ginzburg-Ziv problem	1999	L. Gallardo Georges Grekos Jukka Pihko	8
+	On Davenport's constant	1992	Alfred Geroldinger Rudolf Schneider	7
+ PDF Chat	On the number of m-term zero-sum subsequences	2006	David J. Grynkiewicz	7
+	The Critical Pairs of Subsets of a Group of Prime Order	1956	A. G. Vosper	7
+ PDF Chat	The Inverse Problem Associated to the Davenport Constant for $C_2\oplus C_2 \oplus C_{2n}$, and Applications to the Arithmetical Characterization of Class Groups	2011	Wolfgang Schmid	7
+	On addition of two distinct sets of integers	1995	Vsevolod F. Lev Pavel Smeliansky	7