38 citations · 73 across the 13 of their papers we have counts for
14 papers
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…
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…
A Bessel delta-method and exponential sums for GL(2)
Keshav Aggarwal, Roman Holowinsky, Yongxiao Lin +1
In this paper, we introduce a simple Bessel -method to the theory of exponential sums for . Some results of Jutila on exponential sums are generalized in a less techni…
The Burgess bound via a trivial delta method
Keshav Aggarwal, Roman Holowinsky, Yongxiao Lin +1
Let be a fixed Hecke cusp form for and be a primitive Dirichlet character of conductor . The best known subconvex bound for $L(1/2,g\otimes χ…
Subconvex bounds on GL(3) via degeneration to frequency zero
Roman Holowinsky, Paul D. Nelson
For a fixed cusp form on and a varying Dirichlet character of prime conductor , we prove that the subconvex bound \[ L(π\otimes χ, \tfr…
The amplification method in the GL(3) Hecke algebra
Roman Holowinsky, Guillaume Ricotta, Emmanuel Royer
This article contains all of the technical ingredients required to implement an effective, explicit and unconditional amplifier in the context of GL(3) automorphic forms. In partic…