منابع مشابه
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Since this series is essentially the reciprocal of Dedekind’s weight 1/2 modular form, this provides another example of an Eulerian series which is a modular form. The literature on such identities is extensive, and the pursuit of further identities and their interpretations remains an active area of research largely due to applications in combinatorics, Lie theory, number theory and physics (f...
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upon specializing q = qτ := e 2πiτ , τ ∈ H the upper complex half-plane, where η(τ) := q1/24 ∏ n≥1(1 − qn) is Dedekind’s η-function, a weight 1/2 modular form. More recently, Bringmann and Ono [8] studied the generating function for partition ranks, where the rank of a partition, after Dyson, is defined to be the largest part of the partition minus the number of parts. For example, the rank of ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2015
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-2015-12451-3