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Frank Garvan
Frank Garvan
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Title
Cited by
Cited by
Year
Dyson's crank of a partition
GE Andrews, FG Garvan
4391988
Cranks andt-cores
F Garvan, D Kim, D Stanton
Inventiones mathematicae 101 (1), 1-17, 1990
3991990
Ramanujan’s theories of elliptic functions to alternative bases
BC Berndt, S Bhargava, FG Garvan
Transactions of the American Mathematical Society 347 (11), 4163-4244, 1995
2941995
New combinatorial interpretations of Ramanujan’s partition congruences mod 5, 7 and 11
FG Garvan
Transactions of the American Mathematical Society 305 (1), 47-77, 1988
2781988
The MAPLE Book
F Garvan
2162002
Some cubic modular identities of Ramanujan
JM Borwein, PB Borwein, FG Garvan
Transactions of the American Mathematical Society 343 (1), 35-47, 1994
2091994
Cubic analogues of the Jacobian theta function θ (z, q)
M Hirschhorn, F Garvan, J Borwein
Canadian journal of mathematics 45 (4), 673-694, 1993
1511993
Relations between the ranks and cranks of partitions
AOL Atkin, FG Garvan
Number Theory and Modular Forms: Papers in Memory of Robert A. Rankin, 343-366, 2003
1122003
Some observations on Dyson's new symmetries of partitions
A Berkovich, FG Garvan
Journal of Combinatorial Theory, Series A 100 (1), 61-93, 2002
1082002
Ramanujan's “lost” notebook VI: The mock theta conjectures
GE Andrews, FG Garvan
Advances in mathematics 73 (2), 242-255, 1989
1071989
Some Congruences for Partitions that are p-Cores
FG Garvan
Proceedings of the London Mathematical Society 3 (3), 449-478, 1993
691993
A simple proof of Watson's partition congruences for powers of 7
FG Garvan
Journal of the Australian Mathematical Society 36 (3), 316-334, 1984
681984
Higher order spt-functions
FG Garvan
Advances in Mathematics 228 (1), 241-265, 2011
672011
CONGRUENCES FOR ANDREWS'SMALLEST PARTS PARTITION FUNCTION AND NEW CONGRUENCES FOR DYSON'S RANK
FG Garvan
International Journal of Number Theory 6 (02), 281-309, 2010
632010
Partition statistics and quasiharmonic Maass forms
K Bringmann, F Garvan, K Mahlburg
International Mathematics Research Notices 2009 (1), 63-97, 2009
552009
Generalizations of Dyson's rank
FG Garvan
Pennsylvania State University, 1986
541986
Generalizations of Dyson's rank and non-Rogers-Ramanujan partitions
FG Garvan
manuscripta mathematica 84 (1), 343-359, 1994
481994
The crank of partitions mod 8, 9 and 10
FG Garvan
Transactions of the American Mathematical Society 322 (1), 79-94, 1990
481990
Self-conjugate vector partitions and the parity of the spt-function
GE Andrews, FG Garvan, J Liang
Acta Arith 158 (3), 199-218, 2013
472013
Sieved partition functions and 𝑞-binomial coefficients
F Garvan, D Stanton
Mathematics of computation 55 (191), 299-311, 1990
421990
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