Modularity of the concave composition generating function
نویسندگان
چکیده
منابع مشابه
Modularity of the Concave Composition Generating Function
A composition of an integer constrained to have decreasing then increasing parts is called concave. We prove that the generating function for the number of concave compositions, denoted v(q), is a mixed mock modular form in a more general sense than is typically used. We relate v(q) to generating functions studied in connection with “Moonshine of the Mathieu group” and the smallest parts of a p...
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ژورنال
عنوان ژورنال: Algebra & Number Theory
سال: 2013
ISSN: 1944-7833,1937-0652
DOI: 10.2140/ant.2013.7.2103