S. Singh

activity

20162023

most citedt-Aspect Subconvexity Bound for

G L (2)

L-functions

8 citations · 25 across the 15 of their papers we have counts for

collaborators

15 papers

math.NT2023★ 2 cited

Sum of the $G L (3)$ Fourier coefficients over mixed powers

Himanshi Chanana, Saurabh Kumar Singh

Let $A (n)$ be the $(1, n)$ -th Fourier coefficients of $S L (3, Z)$ Hecke-Maass cusp form, denoted as $A (1, n)$ or the triple divisor function, denoted as $d_{3} (n)$ . Let $k \geqs…

math.NT2023

Hybrid subconvexity bound for $G L (3) \times G L (2)$ $L$ -functions: t and level aspect

Mohd Harun, Sumit Kumar, Saurabh Kumar Singh

\begin{abstract} In this article, we will get non-trivial estimates for the central values of degree six Rankin-Selberg $L$ -functions $L (1/2 + i t, π \times f)$ associated with a ${GL(…

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.NT2022

Shifted Convolution Sum for $G L (3) \times G L (2)$ with Weighted Average

Mohd Harun, Saurabh Kumar Singh

In this paper, we will prove the non-trivial bound for the weighted average version of shifted convolution sum for $G L (3) \times G L (2)$ , i.e. for any $ε > 0$ and $X^{1/4+δ} \leq H \le…

math.NT2021

Sub-convexity bound for $G L (3) \times G L (2)$ $L$ -functions: Hybrid level aspect

Sumit Kumar, Ritabrata Munshi, Saurabh Kumar Singh

Let $F$ be a $G L (3)$ Hecke-Maass cusp form of prime level $P_{1}$ and let $f$ be a $G L (2)$ Hecke-Maass cuspform of prime level $P_{2}$ . In this article, we will prove a subconvex bou…

math.NT2020

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

Sumit Kumar, Kummari Mallesham, Saurabh Kumar Singh

In this article, we will prove subconvex bounds for $G L (3) \times G L (2)$ $L$ -functions in the depth aspect.

Sum of the GL(3) Fourier coefficients over mixed powers

Hybrid subconvexity bound for GL(3)×GL(2) L-functions: t and level aspect

Moments of derivatives of modular L-functions

Shifted Convolution Sum for GL(3)×GL(2) with Weighted Average

Sub-convexity bound for GL(3)×GL(2) L-functions: Hybrid level aspect