Author

Jayashree Kalita

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Preprint Jul 2026

Exceptional Sign Pairs in Oscillatory Asymptotics and Conjectures of Andrews

In this paper, we prove an \emph{exceptional sign pair phenomenon} for a general family of integer sequences with exponentially growing oscillatory asymptotics. This resolves, in particular, conjectural sign patterns proposed by Andrews in a 1986 paper for three $q$-series from Ramanujan's Lost Notebook, namely $v_2(q)...

Jayashree Kalita · 0 citations

Preprint Jul 2026

On $v_2(q),v_3(q),v_4(q)$, and Andrews'Conjectures 5 and 6

In this paper, we prove an exceptional sign pair phenomenon for three $q$-series from Ramanujan's Lost Notebook, namely $v_2(q),v_3(q)$, and $v_4(q)$. This was first observed by Andrews in a 1986 paper. Building on the recent work of Kundu, Storzer, Wang, and the author, which established that the coefficients of these...

Jayashree Kalita · 0 citations