Partition congruences and the Andrews-Garvan-Dyson crank

Proceedings of the National Academy of Sciences of the United States of America

Volumn 102, Issue 43, 2005, Pages 15373-15376

  Mahlburg, Karl ^a  

^a UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARITHMETIC; ARTICLE; MATHEMATICAL ANALYSIS; PARTITION COEFFICIENT; PRIORITY JOURNAL; THEORY;

EID: 27344441826     PISSN: 00278424     EISSN: None     Source Type: Journal    
DOI: 10.1073/pnas.0506702102     Document Type: Article

References (11)

1. Dyson, F. (1944) Eureka (Cambridge, U.K.) 8, 10-15.
2. Ono, K. (2004) The Web of Modularity, CBMS Regional Conference Series in Mathematics (American Mathematical Society, Providence, RI), Vol. 102.
3. Ono, K. (2000) Ann. Math. 151, 293-307.
4. Ahlgren, S. (2000) Math. Ann. 318, 795-803.
5. Ahlgren, S. & Ono, K. (2001) Proc. Natl. Acad. Sci. USA 98, 12882-12884.
6. Atkin, A. L. & Swinnerton-Dyer, P. (1954) Proc. London Math. Soc. 4, 84-106.
7. Garvan, F. (1988) Trans. Am. Math. Soc. 305, 47-77.
8. Andrews, O. & Garvan, F. (1988) Bull. Am. Math. Soc. 18, 167-171.
9. Ono, K. (2001) J. Reine Angew. Math. 533, 81-97.
10. Serre, J.-P. (1976) L'Ens. Math. 22, 227-260.
11. Kubert, D. & Lang, S. (1981) Modular Units, Grundlehren der mathematischen Wissenschaften (Springer, New York), Vol. 244.