expand all |
collapse all

Integer partitions, probabilities, and quantum modular forms

with

preprint

summary | pdf

with

preprint

summary | pdf

Dyson's crank distribution conjecture

with

preprint

summary | pdf

with

preprint

summary | pdf

mock modular forms and quantum modular forms

with and

preprint

summary | pdf

with and

preprint

summary | pdf

Renormalization and Quantum Modular Forms

with and

Part I: Maass Wave Forms

Part II: Mock Theta Functions

summary | Part I | Part II

with and

Part I: Maass Wave Forms

Part II: Mock Theta Functions

summary | Part I | Part II

Unimodal sequences and ``strange'' functions: a family of quantum modular forms

with and

preprint

summary | pdf

with and

preprint

summary | pdf

Asymptotics for the number of row-Fishburn matrices

with and

accepted European Journal of Combinatorics

summary | pdf

with and

accepted European Journal of Combinatorics

summary | pdf

Closed expressions for averages of set partition statistics

with , , and

Research in the Mathematical Sciences

summary | pdf | dimension exponent data | crossing number data | dimension polynomials | crossing polynomials

with , , and

Research in the Mathematical Sciences

summary | pdf | dimension exponent data | crossing number data | dimension polynomials | crossing polynomials

On the distribution of the spt-crank

with and

MDPI-Mathematics 2013,**1** (3), 76-88.

summary | pdf

with and

MDPI-Mathematics 2013,

summary | pdf

Ramanujan's definition of ``mock theta function''

Proceedings of the National Academy of Sciences USA, in press

summary | pdf

Proceedings of the National Academy of Sciences USA, in press

summary | pdf

Ramanujan's radial limits

with and

Proceedings of the Ramanujan 125 Conference at the University of Florida, accepted for publication.

summary | pdf

with and

Proceedings of the Ramanujan 125 Conference at the University of Florida, accepted for publication.

summary | pdf

The Mordell integral, quantum modular forms, and mock Jacobi forms

with

preprint

summary | pdf

with

preprint

summary | pdf

q-series and quantum modular forms

with and

Forum of Mathematics, Pi

summary | pdf

with and

Forum of Mathematics, Pi

summary | pdf

Unimodal sequences and quantum and mock modular forms

with , , and

Proceedings of the National Academy of Sciences, USA,** 109**,
No. 40 (2012), 16063-16067.

summary | pdf

with , , and

Proceedings of the National Academy of Sciences, USA,

summary | pdf

Soft asymptotic for generalized spt-functions

J. Combin. Theory Ser. A**120** (2013), no. 3, 637–643.

summary | pdf

J. Combin. Theory Ser. A

summary | pdf

A proof of Andrews's conjecture and partitions with no short sequences

with

submitted

summary | pdf

with

submitted

summary | pdf

Note on a partition limit theorem for the rank and crank

with and

Bull. London Math. Soc. (2013)**45** (3), 551-553

summary | pdf

with and

Bull. London Math. Soc. (2013)

summary | pdf

Asymptotics for Wilf's partitions with distinct multiplicities

with

unpublished

summary | pdf

with

unpublished

summary | pdf

Modularity of the concave composition generating function

with and

accepted Algebra and Number Theory

summary | pdf

with and

accepted Algebra and Number Theory

summary | pdf

Asymptotics for the number of strongly unimodal sequences

accepted IMRN

summary | pdf | extended version

accepted IMRN

summary | pdf | extended version

A unified approach to partial and mock theta functions

to appear Mathematical Research Letters

summary | pdf | arxiv

to appear Mathematical Research Letters

summary | pdf | arxiv

Taylor coefficients of mock-Jacobi forms and moments of partition statistics

with and

to appear Math. Proc. Camb. Phil. Soc.

summary | pdf

with and

to appear Math. Proc. Camb. Phil. Soc.

summary | pdf

Linear relations among Poincare series via harmonic weak Maass forms

Ramanujan J. (Ramanujan's 125th birthday issue)** 29** (2012), no. 1-3, 311–320.

summary | pdf | arxiv

Ramanujan J. (Ramanujan's 125th birthday issue)

summary | pdf | arxiv

Partial and mock theta functions as q-hypergeometric series

with and

Ramanujan J. (Ramanujan's 125th birthday issue)** 29** (2012), no. 1-3, 295–310.

summary | pdf | arxiv

with and

Ramanujan J. (Ramanujan's 125th birthday issue)

summary | pdf | arxiv

Duality and differential operators for harmonic weak Maass forms

with and

to appear Developments in Mathematics, Ehrenpreis Memorial Volume

summary | pdf

with and

to appear Developments in Mathematics, Ehrenpreis Memorial Volume

summary | pdf

Families of quasimodular forms and Jacobi forms: the crank statistic for partitions

Proc. Amer. Math. Soc.**141** (2013), no. 1, 29–39.

summary | pdf | arxiv

Proc. Amer. Math. Soc.

summary | pdf | arxiv

A Maass lifting of Θ^{3} and class numbers of real
and imaginary quadratic fields

with

Math. Res. Letters**18** No. 5 (2011) 1001-1012.

summary | pdf | arxiv | journal

with

Math. Res. Letters

summary | pdf | arxiv | journal

Asymptotics for rank and crank moments

with and

Bull. London Math. Soc.**43** (2011) 661-672.

summary | pdf | arxiv | journal

with and

Bull. London Math. Soc.

summary | pdf | arxiv | journal

2-Selmer groups and the Birch and Swinnerton-Dyer conjecture via odd graphs

Journal of Number Theory**129** (2009) 1379-1391.

summary | pdf | arxiv | journal

Journal of Number Theory

summary | pdf | arxiv | journal

Statistics of prime divisors in function fields

International Journal of Number Theory vol.5, No. 1 (2009) 141-152.

summary | pdf | journal

International Journal of Number Theory vol.5, No. 1 (2009) 141-152.

summary | pdf | journal

Differential operators for harmonic weak Maass forms and the vanishing of Hecke
eigenvalues

with and

Mathematische Annalen**342** (2008) 673-693.

summary | pdf | corrigendum | arxiv | journal

with and

Mathematische Annalen

summary | pdf | corrigendum | arxiv | journal

Eulerian series as modular forms

with and

Journal Amer. Math. Soc.**21** (2008) 1085-1104.

summary | pdf | journal

with and

Journal Amer. Math. Soc.

summary | pdf | journal

Boundary interpolation with finite Blaschke products

with

Constructive Approximation, vol. 27, no.1 (2008) 75-98.

summary | pdf | journal

with

Constructive Approximation, vol. 27, no.1 (2008) 75-98.

summary | pdf | journal