activity
20002026
most citedShifted convolution sums for

31 citations · 100 across the 28 of their papers we have counts for

collaborators

30 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

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 cro…

math.NT2023

Subconvexity for Symmetric Square L-functions off-centre

Mayukh Dasaratharaman, Ritabrata Munshi

Let be a prime. Let be a holomorphic modular form of level with trivial nebentypus. We prove the bound $L\left(\text{sym}^2f, \frac{1}{2} + it\right) \ll_{f,ε} p^{1/2+ε…

math.NT2022★ 5 cited

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.NT2021

Beyond the Weyl barrier for exponential sums

Roman Holowinsky, Ritabrata Munshi, Zhi Qi

In this paper, we use the Bessel -method, along with new variants of the van der Corput method in two dimensions, to prove non-trivial bounds for exponential su…

math.NT2021

Sub-convexity bound for -functions: Hybrid level aspect

Sumit Kumar, Ritabrata Munshi, Saurabh Kumar Singh

Let be a Hecke-Maass cusp form of prime level and let be a Hecke-Maass cuspform of prime level . In this article, we will prove a subconvex bou…