On the Fourier expansion of Bloch-Okounkov n-point function

نویسندگان

  • Kathrin Bringmann
  • Antun Milas
چکیده

In this paper, we study algebraic and analytic properties of Fourier coefficients, expressed as q-series, of the so-called Bloch-Okounkov n-point function. We prove several results about these series and explain how they relate to Rogers’ false theta function. Then we obtain their full asymptotics, as τ → 0, and use this result to derive asymptotic properties of the coefficients in the q-expansion. At the end, we also introduce and discuss higher rank generalization of Bloch-Okounkov’s functions.

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عنوان ژورنال:
  • J. Comb. Theory, Ser. A

دوره 136  شماره 

صفحات  -

تاریخ انتشار 2015