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1

Partial theta functions and mock modular forms asq-hypergeometric series

Kathrin Bringmann, Amanda Folsom, Robert C. Rhoades

Journal:

The Ramanujan Journal

Year:

2012

Language:

english

File:

PDF, 568 KB

english, 2012

2

ON THE BOUNDARY BEHAVIOR OF AUTOMORPHIC FORMS

BRINGMANN, KATHRIN, KANE, BENJAMIN, KOHNEN, WINFRIED

Journal:

International Journal of Number Theory

Year:

2006

Language:

english

File:

PDF, 145 KB

english, 2006

3

RANK AND CONGRUENCES FOR OVERPARTITION PAIRS

BRINGMANN, KATHRIN, LOVEJOY, JEREMY

Journal:

International Journal of Number Theory

Year:

2008

Language:

english

File:

PDF, 289 KB

english, 2008

4

Dyson’s ranks and Maass forms

Bringmann, Kathrin, Ono, Ken

Journal:

Annals of Mathematics

Year:

2010

Language:

english

File:

PDF, 872 KB

english, 2010

5

CONGRUENCES FOR DYSON'S RANKS

BRINGMANN, KATHRIN

Journal:

International Journal of Number Theory

Year:

2009

Language:

english

File:

PDF, 191 KB

english, 2009

6

On a modularity conjecture of Andrews, Dixit, Schultz, and Yee for a variation of Ramanujan's ω ( q )

Bringmann, Kathrin, Jennings-Shaffer, Chris, Mahlburg, Karl

Journal:

Advances in Mathematics

Year:

2018

Language:

english

File:

PDF, 467 KB

english, 2018

7

Thef(q) mock theta function conjecture and partition ranks

Kathrin Bringmann, Ken Ono

Journal:

Inventiones mathematicae

Year:

2006

Language:

english

File:

PDF, 472 KB

english, 2006

8

EXACT FORMULAS FOR COEFFICIENTS OF JACOBI FORMS

BRINGMANN, KATHRIN, RICHTER, OLAV K.

Journal:

International Journal of Number Theory

Year:

2011

Language:

english

File:

PDF, 162 KB

english, 2011

9

Harmonic Maass-Jacobi forms with singularities and a theta-like decomposition

Bringmann, Kathrin, Raum, Martin, Richter, Olav K.

Journal:

Transactions of the American Mathematical Society

Year:

2015

Language:

english

File:

PDF, 361 KB

english, 2015

10

On the explicit construction of higher deformations of partition statistics

Bringmann, Kathrin

Journal:

Duke Mathematical Journal

Year:

2008

Language:

english

File:

PDF, 339 KB

english, 2008

11

Zagier-type dualities and lifting maps for harmonic Maass–Jacobi forms

Kathrin Bringmann, Olav K. Richter

Journal:

Advances in Mathematics

Year:

2010

Language:

english

File:

PDF, 198 KB

english, 2010

12

ℓ-adic properties of smallest parts functions

Scott Ahlgren, Kathrin Bringmann, Jeremy Lovejoy

Journal:

Advances in Mathematics

Year:

2011

Language:

english

File:

PDF, 156 KB

english, 2011

13

Rank and crank moments for overpartitions

Kathrin Bringmann, Jeremy Lovejoy, Robert Osburn

Journal:

Journal of Number Theory

Year:

2009

Language:

english

File:

PDF, 202 KB

english, 2009

14

Arithmetic properties of coefficients of half-integral weight Maass–Poincaré series

Kathrin Bringmann, Ken Ono

Journal:

Mathematische Annalen

Year:

2007

Language:

english

File:

PDF, 280 KB

english, 2007

15

Some characters of Kac and Wakimoto and nonholomorphic modular functions

Kathrin Bringmann, Ken Ono

Journal:

Mathematische Annalen

Year:

2009

Language:

english

File:

PDF, 171 KB

english, 2009

16

Asymptotic formulas for some retricted partition functions

Kathrin Bringmann

Journal:

The Ramanujan Journal

Year:

2006

Language:

english

File:

PDF, 301 KB

english, 2006

17

New identities involving sums of the tails related to

Kathrin Bringmann, Ben Kane

Journal:

The Ramanujan Journal

Year:

2010

Language:

english

File:

PDF, 338 KB

english, 2010

18

An extension of the Hardy-Ramanujan circle method and applications to partitions without sequences

Bringmann, Kathrin, Mahlburg, Karl

Journal:

American Journal of Mathematics

Year:

2011

Language:

english

File:

PDF, 466 KB

english, 2011

19

Eichler–Shimura theory for mock modular forms

Bringmann, Kathrin, Guerzhoy, Pavel, Kent, Zachary, Ono, Ken

Journal:

Mathematische Annalen

Year:

2013

Language:

english

File:

PDF, 365 KB

english, 2013

20

Kohnen’s limit process for real-analytic Siegel modular forms

Kathrin Bringmann, Martin Raum, Olav K. Richter

Journal:

Advances in Mathematics

Year:

2012

Language:

english

File:

PDF, 264 KB

english, 2012

21

Mock period functions, sesquiharmonic Maass forms, and non-critical values of -functions

Kathrin Bringmann, Nikolaos Diamantis, Martin Raum

Journal:

Advances in Mathematics

Year:

2013

Language:

english

File:

PDF, 248 KB

english, 2013

22

q-series and weight 3/2 Maass forms

Bringmann, Kathrin, Folsom, Amanda, Ono, Ken

Journal:

Compositio Mathematica

Year:

2009

Language:

english

File:

PDF, 638 KB

english, 2009

23

Secord-order cusp forms and mixed mock modular forms

Kathrin Bringmann, Ben Kane

Journal:

The Ramanujan Journal

Year:

2013

Language:

english

File:

PDF, 563 KB

english, 2013

24

On a conjecture of B. Berndt and B. Kim

Kathrin Bringmann, Amanda Folsom

Journal:

The Ramanujan Journal

Year:

2013

Language:

english

File:

PDF, 271 KB

english, 2013

25

Shintani lifts and fractional derivatives for harmonic weak Maass forms

Bringmann, Kathrin, Guerzhoy, Pavel, Kane, Ben

Journal:

Advances in Mathematics

Year:

2014

Language:

english

File:

PDF, 443 KB

english, 2014

26

Eulerian Series as Modular Forms

Kathrin Bringmann, Ken Ono and Robert C. Rhoades

Journal:

Journal of the American Mathematical Society

Year:

2008

Language:

english

File:

PDF, 1.51 MB

english, 2008

27

False theta functions and companions to Capparelli's identities

Bringmann, Kathrin, Mahlburg, Karl

Journal:

Advances in Mathematics

Year:

2015

Language:

english

File:

PDF, 356 KB

english, 2015

28

Quasimodular forms and\(s\ell (m|m)^\wedge \)characters

Bringmann, Kathrin, Folsom, Amanda, Mahlburg, Karl

Journal:

The Ramanujan Journal

Year:

2015

Language:

english

File:

PDF, 212 KB

english, 2015

29

From sheaves on P2 to a generalization of the Rademacher expansion

Bringmann, Kathrin, Manschot, Jan

Journal:

American Journal of Mathematics

Year:

2013

Language:

english

File:

PDF, 463 KB

english, 2013

30

Almost harmonic Maass forms and Kac–Wakimoto characters

Bringmann, Kathrin, Folsom, Amanda

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

2014

Language:

english

File:

PDF, 360 KB

english, 2014

31

On a completed generating function of locally harmonic Maass forms

Bringmann, Kathrin, Kane, Ben, Zwegers, Sander

Journal:

Compositio Mathematica

Year:

2014

Language:

english

File:

PDF, 647 KB

english, 2014

32

Multiplicative $q$-hypergeometric series arising from real quadratic fields

Bringmann, Kathrin, Kane, Ben

Journal:

Transactions of the American Mathematical Society

Year:

2011

Language:

english

File:

PDF, 542 KB

english, 2011

33

Mock modular forms as $p$-adic modular forms

Bringmann, Kathrin, Guerzhoy, Pavel, Kane, Ben

Journal:

Transactions of the American Mathematical Society

Year:

2012

Language:

english

File:

PDF, 279 KB

english, 2012

34

Asymptotic inequalities for positive crank and rank moments

Bringmann, Kathrin, Mahlburg, Karl

Journal:

Transactions of the American Mathematical Society

Year:

2013

Language:

english

File:

PDF, 305 KB

english, 2013

35

ESTIMATES OF FOURIER COEFFICIENTS OF SIEGEL CUSP FORMS FOR SUBGROUPS AND IN THE CASE OF SMALL WEIGHT

BRINGMANN, KATHRIN

Journal:

Journal of the London Mathematical Society

Year:

2006

Language:

english

File:

PDF, 227 KB

english, 2006

36

Maass–Jacobi Poincaré series and Mathieu Moonshine

Bringmann, Kathrin, Duncan, John, Rolen, Larry

Journal:

Advances in Mathematics

Year:

2015

Language:

english

File:

PDF, 589 KB

english, 2015

37

Tropical mirror symmetry for elliptic curves

Böhm, Janko, Bringmann, Kathrin, Buchholz, Arne, Markwig, Hannah

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

2015

Language:

english

File:

PDF, 671 KB

english, 2015

38

Asymptotics for rank partition functions

Bringmann, Kathrin

Journal:

Transactions of the American Mathematical Society

Year:

2009

Language:

english

File:

PDF, 287 KB

english, 2009

39

W-algebras, higher rank false theta functions, and quantum dimensions

Bringmann, Kathrin, Milas, Antun

Journal:

Selecta Mathematica

Year:

2017

Language:

english

File:

PDF, 649 KB

english, 2017

40

Asymptotic behavior of partial and false theta functions arising from Jacobi forms and regularized characters

Bringmann, Kathrin, Folsom, Amanda, Milas, Antun

Journal:

Journal of Mathematical Physics

Year:

2017

Language:

english

File:

PDF, 545 KB

english, 2017

41

On the Andrews–Zagier asymptotics for partitions without sequences

Bringmann, Kathrin, Kane, Ben, Parry, Daniel, Rhoades, Robert

Journal:

Advances in Mathematics

Year:

2017

Language:

english

File:

PDF, 342 KB

english, 2017

42

Eulerian series as modular forms

Bringmann, Kathrin, Ono, Ken, Rhoades, Robert C.

Journal:

Journal of the American Mathematical Society

Year:

2007

Language:

english

File:

PDF, 307 KB

english, 2007

43

Quantum Jacobi forms and finite evaluations of unimodal rank generating functions

Kathrin Bringmann,Amanda Folsom

Journal:

Archiv der Mathematik

Year:

2016

Language:

english

File:

PDF, 517 KB

english, 2016

44

An arithmetic formula for the partition function

Bringmann, Kathrin, Ono, Ken

Journal:

Proceedings of the American Mathematical Society

Year:

2007

Language:

english

File:

PDF, 157 KB

english, 2007

45

On divisors of modular forms

Bringmann, Kathrin, Kane, Ben, Löbrich, Steffen, Ono, Ken, Rolen, Larry

Journal:

Advances in Mathematics

Year:

2018

Language:

english

File:

PDF, 367 KB

english, 2018

46

On Dyson’s crank conjecture and the uniform asymptotic behavior of certain inverse theta functions

Bringmann, Kathrin, Dousse, Jehanne

Journal:

Transactions of the American Mathematical Society

Year:

2015

Language:

english

File:

PDF, 230 KB

english, 2015

47

On the modularity of certain functions from the Gromov–Witten theory of elliptic orbifolds

Bringmann, Kathrin, Rolen, Larry, Zwegers, Sander

Journal:

Royal Society Open Science

Year:

2015

Language:

english

File:

PDF, 374 KB

english, 2015

48

Correction to: Quasimodular forms and $$s\ell (m\vert m)^{\wedge }$$sℓ(m|m)∧ characters

Bringmann, Kathrin, Folsom, Amanda, Mahlburg, Karl

Journal:

The Ramanujan Journal

Year:

2018

Language:

english

File:

PDF, 360 KB

english, 2018

49

Improved bounds on metastability thresholds and probabilities for generalized bootstrap percolation

Bringmann, Kathrin, Mahlburg, Karl

Journal:

Transactions of the American Mathematical Society

Year:

2012

Language:

english

File:

PDF, 355 KB

english, 2012

50

Unimodal sequence generating functions arising from partition ranks

Bringmann, Kathrin, Jennings-Shaffer, Chris

Journal:

Research in Number Theory

Year:

2019

Language:

english

File:

PDF, 418 KB

english, 2019

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