K. Aggarwal

activity

20172019

most cited

t

-aspect subconvexity for

G L (2)

L

-functions

1 citations · 1 across the 2 of their papers we have counts for

collaborators

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7 papers · 1 filter

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.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

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

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…

math.NT2018

The Burgess bound via a trivial delta method

Keshav Aggarwal, Roman Holowinsky, Yongxiao Lin +1

Let $g$ be a fixed Hecke cusp form for $SL (2, Z)$ and $χ$ be a primitive Dirichlet character of conductor $M$ . The best known subconvex bound for $L(1/2,g\otimes χ…

math.NT2017

Subconvexity Bound for Hecke character $L$ -Functions of Imaginary quadratic Number fields

Keshav Aggarwal

Let $K = Q (- D)$ be an imaginary number field, $(p) = p p^{'}$ be a split odd prime and $ψ$ be a Hecke character of conductor $p$ . Let $L(s,…

Level aspect subconvexity for GL(2)×GL(2) 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

The Burgess bound via a trivial delta method

Subconvexity Bound for Hecke character L-Functions of Imaginary quadratic Number fields

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

Subconvexity Bound for Hecke character $L$ -Functions of Imaginary quadratic Number fields