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math.NT2026
Tadpole Nahm sum as a Wronskian
Shane Chern, Chanh Tran, Tanay Wakhare
We show that the tadpole Nahm sum is essentially a specialization of a series studied by Bartlett and Warnaar. This overlooked connection was first discovered by the internal model…
math.NT2025
A divisor generating -series and cumulants arising from random graphs
Archit Agarwal, Subhash Chand Bhoria, Pramod Eyyunni +2
Uchimura, in 1987, introduced a probability generating function for a random variable and using properties of this function he discovered an interesting -series identity. He…
math.NT2025
Romik's Conjecture for the Jacobi Theta Function
Tanay Wakhare
Dan Romik recently considered the Taylor coefficients of the Jacobi theta function around the complex multiplication point . He then conjectured that the Taylor coefficients $d(…