Sumit Kumar

activity

20182024

GL(3) \times GL(2)

L

-functions:

GL(3)

-spectral aspect

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

collaborators

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10 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.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.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.

math.NT2020

Bounds for del Pezzo surfaces of degree two

Aritra Ghosh, Sumit Kumar, Kummari Mallesham +1

In this article, we obtain an upper bound for the number of integral points on the del Pezzo surfaces of degree two.

math.NT2020★ 3 cited

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

Sumit Kumar

Let $π$ be a Hecke-Maass cusp form for $SL (3, Z)$ and $f$ be a holomorphic cusp form for $SL (2, Z)$ of weight $k$ or a Hecke-Maass cusp form corr…

math.NT2020★ 6 cited

Subconvex bound for $GL(3) \times GL(2)$ $L$ -functions: $GL(3)$ -spectral aspect

Sumit Kumar, Kummari Mallesham, Saurabh Kumar Singh

Let $ϕ$ be a Hecke-Maass cusp form for $SL (3, Z)$ with Langlands parameters $(t_{i})_{i = 1}^{3}$ and $f$ be a holomorphic or Hecke-Maass cusp form for $\math…

math.NT2019

Non-linear additive twist of Fourier coefficients of $G L (3) \times G L (2)$ and $G L (3)$ Maass forms

Sumit Kumar, Kummari Mallesham, Saurabh Kumar Singh

Let $λ_{π} (m, n)$ be the Fourier coefficients of a Hecke-Maass cusp form $π$ for $S L (3, Z)$ and $λ_{f} (n)$ be the Fourier coefficients of Hecke-eigen form $f$ for $SL(2,\mathb…

math.NT2018★ 1 cited

Subconvexity bound for $G L (2)$ L-functions: \lowercase{t}-aspect

Ratnadeep Acharya, Sumit Kumar, Gopal Maiti +1

Let $f$ be a holomorphic Hecke eigenform or a Hecke-Maass cusp form for the full modular group $S L (2, Z)$ . In this paper we shall use circle method to prove the Weyl exp…

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

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

Moments of derivatives of modular L-functions

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

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

Bounds for del Pezzo surfaces of degree two

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

Subconvex bound for GL(3)×GL(2) L-functions: GL(3)-spectral aspect

Non-linear additive twist of Fourier coefficients of GL(3)×GL(2) and GL(3) Maass forms

Subconvexity bound for GL(2) L-functions: \lowercase{t}-aspect

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

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

Moments of derivatives of modular $L$ -functions

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

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

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

Subconvex bound for $GL(3) \times GL(2)$ $L$ -functions: $GL(3)$ -spectral aspect

Non-linear additive twist of Fourier coefficients of $G L (3) \times G L (2)$ and $G L (3)$ Maass forms

Subconvexity bound for $G L (2)$ L-functions: \lowercase{t}-aspect