Questions tagged [l-series]

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Do asymptotic series at roots of unity uniquely determine a $q$-series?

Let $\{a_n\}_{n\geq 0}$ be a sequence of integers. We're interested in specific limits of the formal series $$f(q) = \sum_{n=0}^{\infty}a_n q^n.$$ Let $\zeta$ be a root of unity. Say $\zeta^k=1$. ...