Ramanujan’s function k(τ)=r(τ)r 2(2τ) and its modularity
نویسندگان
چکیده
منابع مشابه
compactifications and function spaces on weighted semigruops
chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
15 صفحه اولModularity and the distinct rank function
If R(ω,q) denotes Dyson’s partition rank generating function, due to work of Bringmann and Ono, it is known that for roots of unity ω = 1, R(ω,q) is the “holomorphic part” of a harmonic weak Maass form. Dating back to Ramanujan, it is also known that ̂ R(ω,q) := R(ω,q−1) is given by Eichler integrals and modular forms. In analogy to these results, more recently Monks and Ono have shown that modu...
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ژورنال
عنوان ژورنال: Open Mathematics
سال: 2020
ISSN: 2391-5455
DOI: 10.1515/math-2020-0105