Asymptotic expansions of certain partial theta functions
By Bruce C. Berndt, Byungchan Kim. 2011
61 citations recorded by the source corpus.
We establish an asymptotic expansion for a class of partial theta functions generalizing a result found in Ramanujan’s second notebook. Properties of the coefficients in this more general asymptotic expansion are studied, with connections made to combinatorics and a certain Dirichlet series.
Subfields: Algebra and Number Theory, Applied Mathematics, Discrete Mathematics and Combinatorics
View Paper: https://www.semanticscholar.org/paper/873bc28a06869a88ae85b518c465c093bb6e0c3a
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In Algebra and Number Theory
In Applied Mathematics
In Discrete Mathematics and Combinatorics
Citations in the corpus
- HARDY-PETROVITCH-HUTCHINSON'S PROBLEM AND PARTIAL THETA FUNCTION (2011, background): “This function is also of interest in statistical physics and combinatorics, see [24]; in Ramanujan type q-series, see [25]; in asymptotic analysis, see [5]; and in the theory of (mock) modular forms, see [6].”