Partition identities and a theorem of Zagier

Journal of Combinatorial Theory. Series A

Volumn 100, Issue 1, 2002, Pages 27-43

  Getz, Jayce ^a   Mahlburg, Karl ^a  

^a UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036800452     PISSN: 00973165     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcta.2002.3276     Document Type: Article

References (10)

1. G. E. Andrews, "Number Theory," Dover Publication, New York, 1994.
2. V. G. Kac and M. Wakimoto, Integrable highest weight modules over affine superalgebras and number theory, Lie Theory and Geometry in Honor of Bertram Kostant, Progr. Math. 123 (1994), 415-456.
3. N. Koblitz, "Introduction to Elliptic Curves and Modular Forms," Springer-Verlag, Berlin, 1984.
4. G. Ligozat, Courbes modulaires de genre 1, Bull. Soc. Math. France 43 (1972), 1-80.
5. S. Milne, Infinite families of exact sums of squares formulas, Jacobi elliptic functions, continued fractions, and Schur functions, Ramanujan J. 6 (2002), 7-149.
6. M. Newman, Construction and application of a certain class of modular functions, Proc. London Math. Soc. (3) 9 (1956), 334-350.
7. M. Newman, Construction and application of a certain class of modular functions II, Proc. London Math. Soc. (3) 9 (1959), 373-387.
8. K. Ono, Representations of integers as sums of squares, J. Number Theory, accepted for publication.
9. J.-P. Serre, Divisibilité des coefficients des formes modulaires de poids entier, C.R. Acad. Sci. Paris (A) 279 (1974), 679-682.
10. D. Zagier, A proof of the Kac-Wakimoto affine denominator formula for the strange series, Math. Res. Lett. 7 (2000), 597-604.