Partition identities from third and sixth order mock theta functions
نویسندگان
چکیده
منابع مشابه
Partition Identities Arising from Theta Function Identities
The authors show that certain theta function identities of Schröter and Ramanujan imply elegant partition identities.
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We consider the fifth order mock theta functions χ0 and χ1, defined by Ramanujan, and find identities for these functions, which relate them to indefinite theta functions. Similar identities have been found by Andrews for the other fifth order mock theta functions and the seventh order functions.
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In this paper we consider the first four of the eight identities between the tenth order mock theta functions, found in Ramanujan’s lost notebook. These were originally proved by Choi. Here we give an alternative proof.
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Using n-color partitions we provide new number theoretic interpretations of four mock theta functions of S. Ramanujan.
متن کاملRamanujan's mock theta functions.
In his famous deathbed letter, Ramanujan introduced the notion of a mock theta function, and he offered some alleged examples. Recent work by Zwegers [Zwegers S (2001) Contemp Math 291:268-277 and Zwegers S (2002) PhD thesis (Univ of Utrecht, Utrecht, The Netherlands)] has elucidated the theory encompassing these examples. They are holomorphic parts of special harmonic weak Maass forms. Despite...
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ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 2012
ISSN: 0195-6698
DOI: 10.1016/j.ejc.2012.04.005