3 papers
math.NT2026
On a conjecture of Andrews and almost alternating sign patterns
Jayashree Kalita, Debanjana Kundu, Matthias Storzer +1
In this paper, we prove a sign phenomenon first observed by Andrews for certain -series from Ramanujan's Lost Notebook. For three of the series considered by Andrews, namely $v_…
math.NT2026
Some convolution identities for mock modular forms arising from the theory of holomorphic projection
Jonathan G. Bradley-Thrush, Frank Garvan, Jayashree Kalita +1
Convolution identities and recursive formulas have long played a role in the theory of holomorphic modular forms and their applications. These have served both as striking formulas…
math.NT2026
Exceptional Sign Pairs in Oscillatory Asymptotics and Conjectures of Andrews
Jayashree Kalita
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 p…