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

Munshi, Ritabrata

doi:10.4007/annals.2015.182.2.6

Cited by 65 publications

(118 citation statements)

References 13 publications

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“…For p = 1 this exponent matches the recent result of [1] which improved on the then best known subconvexity bound in the t-aspect, due to Munshi [14], with δ = 1 16 . It also improves, in the allowed range for (t, p), the best known subconvexity bound in the hybrid (t, p)-aspect, due to Lin [11], with δ = 1 36 .…”

supporting

confidence: 88%

Subconvexity for twisted GL$_3$ $L$-functions

Kıral

Kuan²,

Lesesvre

2022

Acta Arith.

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supporting

confidence: 88%

Subconvexity for twisted GL$_3$ $L$-functions

Kıral

Kuan²,

Lesesvre

2022

Acta Arith.

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“…We also mention the work of Munshi [16], where he proved the subconvex bound for L(1/2 + it, φ) as in (1) with θ = 11/8 without the self-dual assumption on φ. The current record in this general case is θ = 27/20 due to Aggarwal [1].…”

Section: Introductionmentioning

confidence: 99%

Strong subconvexity for self-dual $\mathrm{GL} (3)$ $L$-functions

Lin¹,

Nunes²,

Qi³

2021

Preprint

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“…The proof of the above result is similar to Theorem 1.1, see Li [17,Appendix] for example. One can also think about the hybrid subconvexity bounds for GL(3) L-functions in other cases, such as Munshi [21,22,25].…”

Section: Introductionmentioning

confidence: 99%

Hybrid subconvexity bounds for twisted L-functions on GL(3)

Huang

2019

Sci. China Math.

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Let q be a large prime, and χ the quadratic character modulo q. Let φ be a self-dual Hecke-Maass cusp form for SL(3, Z), and u j a Hecke-Maass cusp form for Γ 0 (q) ⊆ SL(2, Z) with spectral parameter t j . We prove, for the first time, some hybrid subconvexity bounds for the twisted L-functions on GL (3), such asfor any ε > 0, where θ = 1/23 is admissible. The proofs depend on the first moment of a family of Lfunctions in short intervals. In order to bound this moment, we first use the approximate functional equations, the Kuznetsov formula, and the Voronoi formula to transform it to a complicated summation; and then we apply different methods to estimate it, which give us strong bounds in different aspects. We also use the stationary phase method and the large sieve inequalities.

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

Cited by 65 publications

References 13 publications

Subconvexity for twisted GL$_3$ $L$-functions

Subconvexity for twisted GL$_3$ $L$-functions

Strong subconvexity for self-dual $\mathrm{GL} (3)$ $L$-functions

Hybrid subconvexity bounds for twisted L-functions on GL(3)

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