R. Munshi

activity

20002026

G L (3) \times G L (2)

31 citations · 100 across the 28 of their papers we have counts for

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Showing 2012 · math.NTShow all

7 papers · 2 filters

math.NT2012★ 3 cited

The circle method and bounds for $L$ -functions - II: Subconvexity for twists of GL(3) $L$ -functions

Ritabrata Munshi

Let $π$ be a $S L (3, Z)$ automorphic form. Let $χ = χ_{1} χ_{2}$ be a Dirichlet character with $χ_{i}$ primitive modulo $M_{i}$ . Suppose $M_{1}$ , $M_{2}$ are primes such that $\sqrt{M_2}M^{…

math.NT2012★ 14 cited

Bounds for twisted symmetric square $L$ -functions - III

Ritabrata Munshi

Let $f$ be a newform, and let $χ$ be a primitive character of conductor $q^{ℓ}$ . Assume that $q$ is an odd prime. In this paper we prove the subconvex bound $$ L(\t1/2,\Sym f\ot…

math.NT2012

On effective determination of Maass forms from central values of Rankin-Selberg $L$ -function

Ritabrata Munshi, Jyoti Sengupta

We address the problem of identifying a Hecke-Maass cusp form $f$ of full level from the central values of the Rankin-Selberg $L$ -functions $L (1/2, f \otimes h)$ where $h$ runs throu…

math.NT2012★ 12 cited

Level Aspect Subconvexity For Rankin-Selberg $L$ -functions

Roman Holowinsky, Ritabrata Munshi

Let $M$ be a square-free integer and let $P$ be a prime not dividing $M$ such that $P \sim M^{η}$ with $0 < η < 2/21$ . We prove subconvexity bounds for $L (\frac{1}{2}, f \otimes g)$ whe…

math.NT2012★ 4 cited

Bounds for twisted symmetric square $L$ -functions

Ritabrata Munshi

Let $f \in S_{k} (N, ψ)$ be a newform, and let $χ$ be a primitive character of conductor $q^{ℓ}$ . Assume that $q$ is a prime and $ℓ > 1$ . In this paper we describe a method to estab…

math.NT2012★ 2 cited

The circle method and bounds for $L$ -functions - I

Ritabrata Munshi

Let $f$ be a Hecke-Maass or holomorphic primitive cusp form of arbitrary level and nebentypus, and let $χ$ be a primitive character of conductor $M$ . For the twisted $L$ -function $…

The circle method and bounds for L-functions - II: Subconvexity for twists of GL(3) L-functions

Bounds for twisted symmetric square L-functions - III

On effective determination of Maass forms from central values of Rankin-Selberg L-function

Level Aspect Subconvexity For Rankin-Selberg L-functions

Bounds for twisted symmetric square L-functions

The circle method and bounds for L-functions - I

The circle method and bounds for $L$ -functions - II: Subconvexity for twists of GL(3) $L$ -functions

Bounds for twisted symmetric square $L$ -functions - III

On effective determination of Maass forms from central values of Rankin-Selberg $L$ -function

Level Aspect Subconvexity For Rankin-Selberg $L$ -functions

Bounds for twisted symmetric square $L$ -functions

The circle method and bounds for $L$ -functions - I