On the dual nature of partial theta functions and Appell–Lerch sums
نویسندگان
چکیده
منابع مشابه
On the Difference of Partial Theta Functions
n≥0(−1) nq (n−1)n 2 xn are called partial theta functions. In his lost noteboook, Ramanujan recorded many identities for these functions. A few years ago Warnaar found an elegant formula for a sum of two partial theta series. Subsequently, Andrews and Warnaar established a similar result for the product of two partial theta functions. In this note we discuss the relation between the Andrews–War...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2014
ISSN: 0001-8708
DOI: 10.1016/j.aim.2014.07.018