Karl Mahlburg

Generating author description...

All published works

Action	Title	Year	Authors
+ PDF Chat	On a Tauberian theorem of Ingham and Euler–Maclaurin summation	2021	Kathrin Bringmann Chris Jennings-Shaffer Karl Mahlburg
+ PDF Chat	The asymptotic distribution of the rank for unimodal sequences	2020	Kathrin Bringmann Chris Jennings-Shaffer Karl Mahlburg
+ PDF Chat	Higher depth quantum modular forms and plumbed 3-manifolds	2020	Kathrin Bringmann Karl Mahlburg Antun Milas
+	The Asymptotic Distribution of the Rank for Unimodal Sequences	2019	Kathrin Bringmann Chris Jennings-Shaffer Karl Mahlburg
+	On a Tauberian Theorem of Ingham and Euler-Maclaurin Summation	2019	Kathrin Bringmann Chris Jennings-Shaffer Karl Mahlburg
+ PDF Chat	Quantum modular forms and plumbing graphs of 3-manifolds	2019	Kathrin Bringmann Karl Mahlburg Antun Milas
+ PDF Chat	Proofs and reductions of various conjectured partition identities of Kanade and Russell	2019	Kathrin Bringmann Chris Jennings-Shaffer Karl Mahlburg
+	On characters of L𝔰𝔩n(−Λ0)-modules	2019	Kathrin Bringmann Karl Mahlburg Antun Milas
+	Peak positions of strongly unimodal sequences	2019	Kathrin Bringmann Chris Jennings-Shaffer Karl Mahlburg Robert C. Rhoades
+	The Asymptotic Distribution of the Rank for Unimodal Sequences	2019	Kathrin Bringmann Chris Jennings-Shaffer Karl Mahlburg
+	On a Tauberian Theorem of Ingham and Euler-Maclaurin Summation	2019	Kathrin Bringmann Chris Jennings-Shaffer Karl Mahlburg
+	Quantum modular forms and plumbing graphs of 3-manifolds	2018	Kathrin Bringmann Karl Mahlburg Antun Milas
+ PDF Chat	Correction to: Quasimodular forms and $$s\ell (m\vert m)^{\wedge }$$ s ℓ ( m \| m ) ∧ characters	2018	Kathrin Bringmann Amanda Folsom Karl Mahlburg
+	Proofs and Reductions of Kanade and Russell's partition identities	2018	Kathrin Bringmann Chris Jennings-Shaffer Karl Mahlburg
+	Proofs and reductions of various conjectured partition identities of Kanade and Russell	2018	Kathrin Bringmann Chris Jennings-Shaffer Karl Mahlburg
+	Peak positions of strongly unimodal sequences	2018	Kathrin Bringmann Chris Jennings-Shaffer Karl Mahlburg Robert C. Rhoades
+	On characters of $L_{\frak{sl}_n}(-\Lambda_0)$-modules	2018	Kathrin Bringmann Karl Mahlburg Antun Milas
+	Quantum modular forms and plumbing graphs of 3-manifolds	2018	Kathrin Bringmann Karl Mahlburg Antun Milas
+	Proofs and reductions of various conjectured partition identities of Kanade and Russell	2018	Kathrin Bringmann Chris Jennings-Shaffer Karl Mahlburg
+	Peak positions of strongly unimodal sequences	2018	Kathrin Bringmann Chris Jennings-Shaffer Karl Mahlburg Robert W. Rhoades
+	On characters of $L_{\frak{sl}_n}(-Λ_0)$-modules	2018	Kathrin Bringmann Karl Mahlburg Antun Milas
+	On a modularity conjecture of Andrews, Dixit, Schultz, and Yee for a variation of Ramanujan's ω(q)	2017	Kathrin Bringmann Chris Jennings-Shaffer Karl Mahlburg
+	Three-Colored Partitions and Dilated Companions of Capparelli’s Identities	2017	Kathrin Bringmann Karl Mahlburg
+	The Lusztig-Macdonald-Wall polynomial conjectures and 𝑞-difference equations	2017	Kathrin Bringmann Karl Mahlburg Antun Milas
+	On a modularity conjecture of Andrews, Dixit, Schultz, and Yee for a variation of Ramanujan's $\omega(q)$	2016	Kathrin Bringmann Chris Jennings-Shaffer Karl Mahlburg
+ PDF Chat	A monad measure space for logarithmic density	2016	Mauro Di Nasso Isaac Goldbring Renling Jin Steven Leth Martino Lupini Karl Mahlburg
+ PDF Chat	HIGH DENSITY PIECEWISE SYNDETICITY OF PRODUCT SETS IN AMENABLE GROUPS	2016	Mauro Di Nasso Isaac Goldbring Renling Jin Steven Leth Martino Lupini Karl Mahlburg
+ PDF Chat	A partition identity and the universal mock theta function $g_2$	2016	Kathrin Bringmann Jeremy Lovejoy Karl Mahlburg
+	On a modularity conjecture of Andrews, Dixit, Schultz, and Yee for a variation of Ramanujan's $ω(q)$	2016	Kathrin Bringmann Chris Jennings-Shaffer Karl Mahlburg
+	Approximate polynomial structure in additively large sets	2015	Mauro Di Nasso Isaac Goldbring Renling Jin Steven Leth Martino Lupini Karl Mahlburg
+ PDF Chat	Overpartitions with Restricted Odd Differences	2015	Kathrin Bringmann Jehanne Dousse Jeremy Lovejoy Karl Mahlburg
+ PDF Chat	Distinct Parts Partitions without Sequences	2015	Kathrin Bringmann Karl Mahlburg Karthik Nataraj
+	High density piecewise syndeticity of product sets in amenable groups	2015	Mauro Di Nasso Isaac Goldbring Renling Jin Steven Leth Martino Lupini Karl Mahlburg
+	False theta functions and companions to Capparelli's identities	2015	Kathrin Bringmann Karl Mahlburg
+	High density piecewise syndeticity of sumsets	2015	Mauro Di Nasso Isaac Goldbring Renling Jin Steven Leth Martino Lupini Karl Mahlburg
+	Distinct parts partitions without sequences	2015	Kathrin Bringmann Karl Mahlburg Karthik Nataraj
+	Approximate polynomial structure in additively large sets	2015	Mauro Di Nasso Isaac Goldbring Renling Jin Steven Leth Martino Lupini Karl Mahlburg
+	Distinct parts partitions without sequences	2015	Kathrin Bringmann Karl Mahlburg Karthik Nataraj
+	High density piecewise syndeticity of product sets in amenable groups	2015	Mauro Di Nasso Isaac Goldbring Renling Jin Steven Leth Martino Lupini Karl Mahlburg
+	Double series representations for Schur's partition function and related identities	2014	George E. Andrews Kathrin Bringmann Karl Mahlburg
+	Quasimodular forms and $$s\ell (m\|m)^\wedge $$ s ℓ ( m \| m ) ∧ characters	2014	Kathrin Bringmann Amanda Folsom Karl Mahlburg
+	Taylor coefficients of mock-Jacobi forms and moments of partition statistics	2014	Kathrin Bringmann Karl Mahlburg Robert C. Rhoades
+	Double series representations for Schur's partition function and related identities	2014	George E. Andrews Kathrin Bringmann Karl Mahlburg
+	Asymptotic formulas for stacks and unimodal sequences	2014	Kathrin Bringmann Karl Mahlburg
+ PDF Chat	On a Sumset Conjecture of Erdős	2014	Mauro Di Nasso Isaac Goldbring Renling Jin Steven Leth Martino Lupini Karl Mahlburg
+	False theta functions and companions to Capparelli's identities	2014	Kathrin Bringmann Karl Mahlburg
+	Double series representations for Schur's partition function and related identities	2014	George E. Andrews Kathrin Bringmann Karl Mahlburg
+	False theta functions and companions to Capparelli's identities	2014	Kathrin Bringmann Karl Mahlburg
+	A partition identity and the universal mock theta function $g_2$	2013	Kathrin Bringmann Jeremy Lovejoy Karl Mahlburg
+ PDF Chat	Symmetric Polynomials and Symmetric Mean Inequalities	2013	Karl Mahlburg Clifford Smyth
+	Asymptotic formulas for stacks and unimodal sequences	2013	Kathrin Bringmann Karl Mahlburg
+	Asymptotic inequalities for positive crank and rank moments	2013	Kathrin Bringmann Karl Mahlburg
+	Progress on a sumset conjecture of Erd\H{o}s	2013	Mauro Di Nasso Isaac Goldbring Renling Jin Steven Leth Martino Lupini Karl Mahlburg
+	Asymptotic formulas for coefficients of Kac–Wakimoto Characters	2013	Kathrin Bringmann Karl Mahlburg
+	Quasimodular forms and sl(m\|m)^ characters	2013	Kathrin Bringmann Amanda Folsom Karl Mahlburg
+	Schur's partition theorem and mixed mock modular forms	2013	Kathrin Bringmann Karl Mahlburg
+	Asymptotic formulas for stacks and unimodal sequences	2013	Kathrin Bringmann Karl Mahlburg
+	A partition identity and the universal mock theta function $g_2$	2013	Kathrin Bringmann Jeremy Lovejoy Karl Mahlburg
+ PDF Chat	K-RUN OVERPARTITIONS AND MOCK THETA FUNCTIONS	2012	Kathrin Bringmann Alexander E. Holroyd Karl Mahlburg Masha Vlasenko
+	Asymptotic inequalities for positive crank and rank moments	2012	Kathrin Bringmann Karl Mahlburg
+	k-Run Overpartitions and Mock Theta Functions	2012	Kathrin Bringmann Alexander E. Holroyd Karl Mahlburg Masha Vlasenko
+ PDF Chat	Improved bounds on metastability thresholds and probabilities for generalized bootstrap percolation	2012	Kathrin Bringmann Karl Mahlburg
+	Convolution Bootstrap Percolation Models, Markov-type Stochastic Processes, and Mock Theta Functions	2012	Kathrin Bringmann Karl Mahlburg Anton Mellit
+	Asymptotic inequalities for positive crank and rank moments	2012	Kathrin Bringmann Karl Mahlburg
+	k-Run Overpartitions and Mock Theta Functions	2012	Kathrin Bringmann Alexander E. Holroyd Karl Mahlburg Masha Vlasenko
+	An extension of the Hardy-Ramanujan circle method and applications to partitions without sequences	2011	Kathrin Bringmann Karl Mahlburg
+ PDF Chat	Asymptotics for rank and crank moments	2011	Kathrin Bringmann Karl Mahlburg Robert C. Rhoades
+ PDF Chat	Enumeration of non-crossing pairings on bit strings	2010	Todd Kemp Karl Mahlburg Amarpreet Rattan Clifford Smyth
+	Improved bounds on metastability thresholds and probabilities for generalized bootstrap percolation	2010	Kathrin Bringmann Karl Mahlburg
+	SYMMETRIC POLYNOMIALS AND A GENERALIZED ARITHMETIC-GEOMETRIC MEAN INEQUALITY	2010	Karl Mahlburg Clifford Smyth
+	Improved bounds on metastability thresholds and probabilities for generalized bootstrap percolation	2010	Kathrin Bringmann Karl Mahlburg
+ PDF Chat	Inequalities between ranks and cranks	2009	Kathrin Bringmann Karl Mahlburg
+	Enumeration of non-crossing pairings on bit strings	2009	Todd Kemp Karl Mahlburg Amarpreet Rattan Clifford Smyth
+	Partition Statistics and Quasiharmonic Maass Forms	2008	Kathrin Bringmann Frank G. Garvan Karl Mahlburg
+	Partition statistics and quasiweak Maass forms	2008	Kathrin Bringmann Frank G. Garvan Karl Mahlburg
+ PDF Chat	Partition congruences and the Andrews-Garvan-Dyson crank	2005	Karl Mahlburg
+	More congruences for the coefficients of quotients of Eisenstein series	2005	Karl Mahlburg
+	The overpartition function modulo small powers of 2	2004	Karl Mahlburg
+	AN OVERVIEW OF BRAID GROUP CRYPTOGRAPHY	2004	Karl Mahlburg Andrew Bolstad
+ PDF Chat	Arithmetic of certain hypergeometric modular forms	2004	Karl Mahlburg Ken Ono
+	Partition Identities and a Theorem of Zagier	2002	Jayce R. Getz Karl Mahlburg
+ PDF Chat	Random Approaches to Fibonacci Identities	2000	Arthur T. Benjamin Gregory M. Levin Karl Mahlburg Jennifer J. Quinn

Common Coauthors

Coauthor	Papers Together
Kathrin Bringmann	61
Chris Jennings-Shaffer	16
Steven Leth	9
Mauro Di Nasso	9
Martino Lupini	9
Renling Jin	9
Antun Milas	8
Isaac Goldbring	7
Clifford Smyth	4
Jeremy Lovejoy	4
Robert C. Rhoades	4
Masha Vlasenko	3
Karthik Nataraj	3
Amanda Folsom	3
George E. Andrews	3
Alexander E. Holroyd	3
Todd Kemp	2
Frank G. Garvan	2
Isaac Goldbring	2
Amarpreet Rattan	2
Kathrin Bringmann	1
Anton Mellit	1
Jehanne Dousse	1
Andrew Bolstad	1
Gregory M. Levin	1
Jayce R. Getz	1
Arthur T. Benjamin	1
Ken Ono	1
Robert W. Rhoades	1
Jennifer J. Quinn	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The Theory of Partitions	1984	George E. Andrews	24
+	The Final Problem : An Account of the Mock Theta Functions	1936	G. N. Watson	15
+ PDF Chat	Dyson’s ranks and Maass forms	2010	Kathrin Bringmann Ken Ono	13
+	Mock Theta Functions	2002	Sander Zwegers	13
+	An extension of the Hardy-Ramanujan circle method and applications to partitions without sequences	2011	Kathrin Bringmann Karl Mahlburg	13
+	A Tauberian Theorem for Partitions	1941	A. E. Ingham	12
+ PDF Chat	Partitions with short sequences and mock theta functions	2005	George E. Andrews	12
+ PDF Chat	Introduction to Elliptic Curves and Modular Forms	1993	Neal Koblitz	10
+ PDF Chat	Dyson’s crank of a partition	1988	George E. Andrews Frank G. Garvan	10
+ PDF Chat	CONGRUENCES FOR ANDREWS' SMALLEST PARTS PARTITION FUNCTION AND NEW CONGRUENCES FOR DYSON'S RANK	2010	Frank G. Garvan	9
+	Some Properties of Partitions	1954	A. O. L. Atkin Peter Swinnerton‐Dyer	9
+ PDF Chat	New combinatorial interpretations of Ramanujan’s partition congruences mod 5,7 and 11	1988	Frank G. Garvan	9
+	On two geometric theta lifts	2004	Jan Hendrik Bruinier Jens Funke	8
+	The Theory of Jacobi Forms	1985	Martin Eichler Don Zagier	8
+ PDF Chat	On the explicit construction of higher deformations of partition statistics	2008	Kathrin Bringmann	8
+	Integrals, partitions and MacMahon's Theorem	2006	George E. Andrews Henrik Eriksson Fedor Petrov Dan Romik	8
+ PDF Chat	Congruence properties of partitions	1921	S. Ramanujan	7
+ PDF Chat	Asymptotic Formulaae in Combinatory Analysis	1918	G. H. Hardy S. Ramanujan	7
+	Higher order spt-functions	2011	Frank G. Garvan	7
+	On the Expansion of the Partition Function in a Series	1943	Hans Rademacher	7
+ PDF Chat	Partitions, Durfee symbols, and the Atkin–Garvan moments of ranks	2007	George E. Andrews	7
+ PDF Chat	Partition congruences and the Andrews-Garvan-Dyson crank	2005	Karl Mahlburg	7
+ PDF Chat	MOCK THETA FUNCTIONS AND QUANTUM MODULAR FORMS	2013	Amanda Folsom Ken Ono Robert C. Rhoades	6
+	Concave and convex compositions	2012	George E. Andrews	6
+	Partition statistics and quasiweak Maass forms	2008	Kathrin Bringmann Frank G. Garvan Karl Mahlburg	6
+	Quantum modular forms	2017	Kathrin Bringmann Amanda Folsom Ken Ono Larry Rolen	6
+	Integrals, partitions, and cellular automata	2003	Alexander E. Holroyd Thomas M. Liggett Dan Romik	6
+ PDF Chat	A new family of algebras underlying the Rogers-Ramanujan identities and generalizations	1981	James Lepowsky Robert Lee Wilson	6
+	The number of smallest parts in the partitions of n	2008	George E. Andrews	6
+ PDF Chat	K-RUN OVERPARTITIONS AND MOCK THETA FUNCTIONS	2012	Kathrin Bringmann Alexander E. Holroyd Karl Mahlburg Masha Vlasenko	5
+	On series expansions of Capparelli's infinite product	2004	Andrew V. Sills	5
+	Sumset phenomenon in countable amenable groups	2009	Mathias Beiglböck Vitaly Bergelson Alexander Fish	5
+	Basic Hypergeometric Series	2004	George Gasper Mizan Rahman	5
+ PDF Chat	A Construction of the Level 3 Modules for the Affine Lie Algebra 𝐴₂⁽²⁾ and a New Combinatorial Identity of the Rogers-Ramanujan Type	1996	Stefano Capparelli	5
+	On Modular Forms of Half Integral Weight	1973	Goro Shimura	5
+ PDF Chat	Note on a partition limit theorem for rank and crank	2013	Persi Diaconis Svante Janson Robert C. Rhoades	5
+	A Combinatorial Generalization of the Rogers-Ramanujan Identities	1961	Basil Gordon	5
+	Modular Functions and Dirichlet Series in Number Theory	1990	Tom M. Apostol	5
+ PDF Chat	Asymptotics for rank partition functions	2009	Kathrin Bringmann	5
+ PDF Chat	Some asymptotic formulae for the mock theta series of Ramanujan	1952	Leila A. Dragonette	4
+ PDF Chat	Some characters of Kac and Wakimoto and nonholomorphic modular functions	2009	Kathrin Bringmann Ken Ono	4
+	Lie algebraic approaches to classical partition identities	1978	James Lepowsky Stephen C. Milne	4
+	The distribution of the number of summands in the partitions of a positive integer	1941	P. Erdős Joseph Lehner	4
+	Partition bijections, a survey	2006	Igor Pak	4
+ PDF Chat	Construction of the affine Lie algebraA 1 (1)	1978	James Lepowsky Robert Lee Wilson	4
+ PDF Chat	Relations Between the Ranks and Cranks of Partitions	2003	A. O. L. Atkin Frank G. Garvan	4
+	On the Partition Function <i>p</i> (<i>n</i> )	1938	Hans Rademacher	4
+	Asymptotic formulas for stacks and unimodal sequences	2014	Kathrin Bringmann Karl Mahlburg	4
+ PDF Chat	Inequalities between ranks and cranks	2009	Kathrin Bringmann Karl Mahlburg	4
+ PDF Chat	The sumset phenomenon	2001	Renling Jin	4