Prahlad Sharma

activity

20202025

most cited

t

-aspect subconvexity for

G L (2) \times G L (2)

L

-function

5 citations · 6 across the 5 of their papers we have counts for

collaborators

5 papers

math.NT2025

Sub-Weyl bound for $G L (2)$ via trivial delta

Roman Holowinsky, Ritabrata Munshi, Prahlad Sharma +1

For a $S L (2, Z)$ form $f$ , we obtain the sub-Weyl bound \begin{equation*} L(1/2+it,f)\ll_{f,\varepsilon} t^{1/3-δ+\varepsilon}, \end{equation*} where $δ = 1/174$ , thereby cro…

math.NT2023

Moments of derivatives of modular $L$ -functions

Sumit Kumar, Kummari Mallesham, Prahlad Sharma +1

Let $f$ be an Hecke eigenform for the group $Γ_{0} (q)$ and $χ_{d}$ be a primitive quadratic character of conductor $∣ d ∣$ . In this article, we prove an asymptotic for the second mom…

math.NT2023

Bilinear sums with $G L (2)$ coefficients and the exponent of distribution of $d_{3}$

Prahlad Sharma

We obtain the exponent of distribution $1/2 + 1/30$ for the ternary divisor function $d_{3}$ to square-free and prime power moduli, improving the previous results of Fouvry--Kowalski--…

math.NT2020★ 5 cited

$t$ -aspect subconvexity for $G L (2) \times G L (2)$ $L$ -function

Ratnadeep Acharya, Prahlad Sharma, Saurabh Kumar Singh

In this paper we shall prove a subconvexity bound for $G L (2) \times G L (2)$ $L$ -function in $t$ -aspect by using a $G L (1)$ circle method.

math.NT2020★ 1 cited

Subconvexity for $G L (3) \times G L (2)$ $L$ -functions in $G L (3)$ spectral aspect

Prahlad Sharma

Let $f$ be a $S L (2, Z)$ holomorphic cusp form or the Eisenstien series $E (z, 1/2)$ and $π$ be a $S L (3, Z)$ Hecke-Maass cusp form with its Langlands parameter $μ$ in…

Sub-Weyl bound for GL(2) via trivial delta

Moments of derivatives of modular L-functions

Bilinear sums with GL(2) coefficients and the exponent of distribution of d3​

t-aspect subconvexity for GL(2)×GL(2) L-function

Subconvexity for GL(3)×GL(2) L-functions in GL(3) spectral aspect

Sub-Weyl bound for $G L (2)$ via trivial delta

Moments of derivatives of modular $L$ -functions

Bilinear sums with $G L (2)$ coefficients and the exponent of distribution of $d_{3}$

$t$ -aspect subconvexity for $G L (2) \times G L (2)$ $L$ -function

Subconvexity for $G L (3) \times G L (2)$ $L$ -functions in $G L (3)$ spectral aspect