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Partition identities arising from theta function identities

✍ Scribed by Nayandeep Deka Baruah; Bruce C. Berndt


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2008
Tongue
English
Weight
271 KB
Volume
24
Category
Article
ISSN
1439-7617

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πŸ“œ SIMILAR VOLUMES


Theta function identities
✍ Ronald J. Evans πŸ“‚ Article πŸ“… 1990 πŸ› Elsevier Science 🌐 English βš– 943 KB
Congruence identities arising from dynam
✍ Bau-Sen Du πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 279 KB

Abstract~By counting the numbers of periodic points of all periods for some interval maps, we obtain infinitely many new congruence identities in number theory.

A New Class of Theta-Function Identities
✍ B.C. Berndt; L.C. Zhang πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 447 KB

In the unorganized pages of his second notebook, Ramanujan offers two new theta-function identities that have a form different from other identities found in the literature. Using the theory of modular forms, we prove a general theorem containing Ramanujan's two identities as special cases. 1994 Aca