K. Aggarwal

activity

20162025

most citedThe Burgess bound via a trivial delta method

10 citations · 29 across the 11 of their papers we have counts for

collaborators

11 papers

math.NT2025

Explicit bounds for the graphicality of the prime gap sequence

Keshav Aggarwal, Robin Frot, Haozhe Gou +1

We establish explicit unconditional results on the graphic properties of the prime gap sequence. Let $p_{n}$ denote the $n$ -th prime number (with $p_{0} = 1$ ) and $\mathrm{PD}_n = (p_\el…

math.NT2024

Level aspect subconvexity for $GL(2) \times GL(2)$ $L$ -functions

Keshav Aggarwal, Sumit Kumar, Chung-Hang Kwan +3

Let $f$ be a newform of prime level $p$ with any central character $χ (mod p)$ , and let $g$ be a fixed cusp form or Eisenstein series for $SL_{2} (Z)$ . We prov…

math.NT2022★ 5 cited

Short second moment bound and Subconvexity for GL(3) $L$ -functions

Keshav Aggarwal, Wing Hong Leung, Ritabrata Munshi

Let $π$ be a Hecke cusp form for $SL_{3} (Z)$ . We bound the second moment average of $L (s, π)$ over a short interval to obtain the subconvexity estimate $$ L(1/2+it,…

math.NT2019

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 $δ$ -method to the theory of exponential sums for $G L_{2}$ . Some results of Jutila on exponential sums are generalized in a less techni…

math.NT2019★ 4 cited

A new subconvex bound for $GL (3)$ $L$ -functions in the $t$ -aspect

Keshav Aggarwal

We revisit Munshi's proof of the $t$ -aspect subconvex bound for $GL (3)$ $L$ -functions, and we are able to remove the `conductor lowering' trick. This simplification along with…

math.NT2018★ 1 cited

Weyl bound for $GL (2)$ in $t$ -aspect via a trivial delta method

Keshav Aggarwal

We use a `trivial' delta method to prove the Weyl bound in $t$ -aspect for the $L$ -function of a holomorphic or a Hecke-Maass cusp form of arbitrary level and nebentypus. In par…

Explicit bounds for the graphicality of the prime gap sequence

Level aspect subconvexity for GL(2)×GL(2) L-functions

Short second moment bound and Subconvexity for GL(3) L-functions

A Bessel delta-method and exponential sums for GL(2)

A new subconvex bound for GL(3) L-functions in the t-aspect

Weyl bound for GL(2) in t-aspect via a trivial delta method

Level aspect subconvexity for $GL(2) \times GL(2)$ $L$ -functions

Short second moment bound and Subconvexity for GL(3) $L$ -functions

A new subconvex bound for $GL (3)$ $L$ -functions in the $t$ -aspect

Weyl bound for $GL (2)$ in $t$ -aspect via a trivial delta method