On Ramanujan's cubic continued fraction as a modular function
نویسندگان
چکیده
منابع مشابه
A Crank Analog on a Certain Kind of Partition Function Arising from the Cubic Continued Fraction
In a series of papers, H.-C. Chan has studied congruence properties of a certain kind of partition function that arises from Ramanujan’s cubic continued fraction. This partition function a(n), is defined by ∑∞ n=0 a(n)q n = 1 (q;q)∞(q2;q2)∞ . In particular, he proved that a(3n + 2) ≡ 0 (mod 3). As Chan mentioned in his paper, it is natural to ask if there exists an analog of the rank or the cra...
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ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 2010
ISSN: 0040-8735
DOI: 10.2748/tmj/1294170348