34 citations · 37 across the 8 of their papers we have counts for
9 papers
Repellent properties of perfect powers on partition functions: a heuristic approach
Summer Haag, Praneel Samanta, Swati +3
In 2013, Sun conjectured that the partition function is never a perfect power for . Building on this, Merca, Ono, and Tsai recently observed that for any fixed int…
Exceptional Congruences for Eta-quotient newforms
Eddie O'Sullivan, Henry Stone, Swati +1
In 1973, Swinnerton-Dyer completely classified all congruences for coefficients of normalized eigenforms in weights on $Γ_{0}(1) = \operatorname{…
Explicit images for the Shimura Correspondence
Matthew Boylan, Swati
In 2014, Yang showed that for , we have where $G\in S^{new}_{r+2s - 1}(Γ_{0}(6), - \left( \fra…
Indices of nilpotency in certain spaces of modular forms
Matthew Boylan, Swati
We study the index of nilpotency relative to certain Hecke operators in spaces of modular forms with integer weight and level with integer coefficients modulo primes for $(…
Congruence properties modulo prime powers for a class of partition functions
Matthew Boylan, Swati
Let be prime, and let denote the function whose generating function is . This function and its generalizations $p_{[c^{\ell}…
A resource theory of activity for quantum thermodynamics in the absence of heat baths
Swati, Uttam Singh, Giulio Chiribella
Active states, from which work can be extracted by time-dependent perturbations, are an important resource for quantum thermodynamics in the absence of heat baths. Here we characte…