Praneel Samanta

collaborators

2 papers

math.NT2026

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 $p (n)$ is never a perfect power for $n \geq 2$ . Building on this, Merca, Ono, and Tsai recently observed that for any fixed int…

math.NT2022

Double square moments and bounds for resonance sums of cusp forms

Tim Gillespie, Praneel Samanta, Yangbo Ye

Let $f$ and $g$ be holomorphic cusp forms for the modular group $S L_{2} (Z)$ of weight $k_{1}$ and $k_{2}$ with Fourier coefficients $λ_{f} (n)$ and $λ_{g} (n)$ , respectively. For real…