3 papers
math.NT2026
Beyond the square-root barrier: cubic forms of Perazzo type
Tim Browning, Ritabrata Munshi, Victor Y. Wang
We show how the circle method can be used to study rational points on a certain cubic fourfold, going beyond the square-root barrier.
math.NT2025
Short second moment bound and Subconvexity for GL(3) -functions
Keshav Aggarwal, Wing Hong Leung, Ritabrata Munshi
Let be a Hecke cusp form for . We bound the second moment average of over a short interval to obtain the subconvexity estimate $$ L(1/2+it…
math.NT2025
Sub-Weyl bound for via trivial delta
Roman Holowinsky, Ritabrata Munshi, Prahlad Sharma +1
For a form , we obtain the sub-Weyl bound \begin{equation*} L(1/2+it,f)\ll_{f,\varepsilon} t^{1/3-δ+\varepsilon}, \end{equation*} where , thereby c…