Jeremy Lovejoy



CNRS
LIAFA
Universite Denis Diderot - Paris 7
Case 7014
75205 Paris Cedex 13
FRANCE

lovejoy at liafa dot jussieu dot fr

Phone: +33 (0)952360124


Upcoming Events

Modular forms, mock theta functions, and applications, Cologne

Hypergeometric series and their generalizations in algebra, geometry, number theory and physics, Paris

US-EU conference on automorphic forms and related topics, Aachen

Automorphic forms workshop, March 11-14, 2013, Dublin, Ireland.


Publications

The Bailey chain and mock theta functions (with Robert Osburn)
Preprint.

Ramanujan-type partial theta identities and conjugate Bailey pairs
Ramanujan Journal, to appear.

Automorphic properties of generating functions for generalized odd rank moments and odd Durfee symbols (with Claudia Alfes and Kathrin Bringmann)
Math. Proc. Cambridge Phil. Soc. 151 (2011), 385-406.

l-adic properties of smallest parts functions (with Scott Ahlgren and Kathrin Bringmann)
Adv. Math. 228 (2011), 629-645.

On the modularity of the unified WRT invariants of certain Seifert manifolds (with Kathrin Bringmann and Kazuhiro Hikami)
Adv. Appl. Math. 46 (2011), 86-93.

Quadratic forms and four partition functions modulo 3 (with Robert Osburn)
Integers 11 (2011), 47-53.

Partitions with rounded occurrences and attached parts
Ramanujan J. 23 (2010), 307-313.

M2-rank differences for overpartitions (with Robert Osburn)
Acta Arith. 144 (2010), 193-212.

On identities involving the sixth order mock theta functions
Proc. Amer. Math. Soc. 138 (2010), 2547-2552.

Automorphic properties of generating functions for generalized rank moments and Durfee symbols (with Kathrin Bringmann and Robert Osburn)
Int. Math. Res. Not. (2010), no. 2, 238-260.

Overpartitions and the q-Bailey identity (with Sylvie Corteel)
Proc. Edinburgh Math. Soc. 52 (2009), 297-306.

M2-rank differences for partitions without repeated odd parts (with Robert Osburn)
J. Théor. Nombres Bordeaux 21 no. 2 (2009), 313-334.

Rank and crank moments for overpartitions (with Kathrin Bringmann and Robert Osburn)
J. Number Theory 129 no. 7 (2009), 1758-1772 .

Partitions weighted by the parity of the crank (with Dohoon Choi and Soon-Yi Kang)
J. Combin. Theory Ser. A 116 (2009), 1034-1046.

Overpartitions and class numbers of binary quadratic forms (with Kathrin Bringmann)
Proc. Nat. Acad. Sci. USA vol. 106 no. 14 (2009), 5513-5516.

n-color overpartitions, twisted divisor functions, and Rogers-Ramanujan identities (with Olivier Mallet)
South East Asian J. Math. Math. Sci. (G.E. Andrews' 70th birthday issue) 6 (2008), 23-36.

Rank differences for overpartitions (with Robert Osburn)
Quart. J. Math. (Oxford) 59 (2008) 257-273.

Rank and congruences for overpartition pairs (with Kathrin Bringmann)
Int. J. Number Theory 4 (2008), 303-322.

Rank and conjugation for a second Frobenius representation of an overpartition
Ann. Combin. 12 (2008), 101-113.

Overpartition pairs and two classes of basic hypergeometric series (with Olivier Mallet)
Adv. Math. 217 (2008), 386-418.

An extension to overpartitions of the Rogers-Ramanujan identities for even moduli (with Sylvie Corteel and Olivier Mallet)
J. Number Theory 128 (2008), 1602-1621.

Dyson's rank, overpartitions, and weak Maass forms (with Kathrin Bringmann)
Int. Math. Res. Not. (2007), rnm063.

Partitions and overpartitions with attached parts
Arch. Math. (Basel) 88 (2007), 316-322.

Constant terms, jagged partitions, and partitions with difference two at distance two
Aequationes Math. 72 (2006), 299-312.

Overpartition pairs
Ann. Inst. Fourier (Grenoble) 56 (2006), 781-794.

An iterative-bijective approach to generalizations of Schur's theorem (with Sylvie Corteel)
Europ. J. Combin. 27 (2006), 496-512.

A theorem on seven-colored overpartitions and its applications
Int. J. Number Theory. 1 (2005) 215-224.

Rank and conjugation for the Frobenius representation of an overpartition
Ann. Combin. 9 (2005) 321-334.

Overpartitions and generating functions for generalized Frobenius partitions (with Sylvie Corteel and Ae Ja Yee)
Mathematics and Computer Science III: Algorithms, Trees, Combinatorics, and Probabilities (2004) 15-24.

Overpartitions and real quadratic fields
J. Number Theory 106 (2004), 178-186.

Overpartition theorems of the Rogers-Ramaujan type
J. London Math. Soc. 69 (2004), 562-574.

A Bailey Lattice
Proc. Amer. Math. Soc. 132 (2004), 1507-1516.

Overpartitions (with Sylvie Corteel)
Trans. Amer. Math. Soc. 356 (2004), 1623-1635.

More lacunary partition functions
Illinois J. Math. 47 (2003), 769-773.

Gordon's theorem for overpartitions
J. Combin. Theory Ser. A 103 (2003), 393-401.

Hypergeometric generating functions for values of Dirichlet and other L-functions (with Ken Ono)
Proc. Nat. Acad. Sci. USA vol. 100 no. 12 (2003), 6904-6909.

The number of partitions into distinct parts modulo powers of 5
Bull. London Math. Soc. 35 (2003) no. 1, 41-46.

Partitions with designated summands (with George E. Andrews and Richard P. Lewis)
Acta Arith. 105 (2002) no. 1, 51-66.

Lacunary partition functions
Math. Res. Lett. 9 (2002), 191-198.

Extension of Ramanujan's congruences for the partition function modulo powers of five (with Ken Ono)
J. Reine Angew. Math. 542 (2002), 123-132.

Frobenius partitions and the combinatorics of Ramanujan's 1psi1 summation (with Sylvie Corteel)
J. Combin. Theory Ser. A 97 (2002), 177-183.

The arithmetic of the number of partitions into distinct parts (with Scott Ahlgren)
Mathematika 48 (2001), 203-211.

3-regular partitions and a modular K3 surface (with David Penniston)
Contemp. Math. 291 (2001), 177-182.

The divisibility and distribution of partitions into distinct parts
Adv. Math. 158 (2001), 253-263.

Ramanujan type congruences for three-colored Frobenius partitions
J. Number Theory 85 (2000), 283-290.


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