The circle method and bounds for \(L\)-functions. I

DOI10.1007/s00208-013-0968-4zbMath1312.11037arXiv1202.4068OpenAlexW2109378982WikidataQ115367467 ScholiaQ115367467MaRDI QIDQ2439295

Ritabrata Munshi

Publication date: 14 March 2014

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.4068

zbMATH Keywords

twisted \(L\)-functionHecke-Maass cusp formprimitive charactersubconvex bound

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (15)

Subconvexity for \(\operatorname{GL}(3)\times \operatorname{GL}(2)\) \(L\)-functions in \(t\)-aspect ⋮ Subconvexity for \(\mathrm{GL} (3) \times \mathrm{GL} (2)\) twists (with an appendix by Will Sawin) ⋮ Weyl-type bounds for twisted \(\mathrm{GL}(2)\) short character sums ⋮ Counting integer points on quadrics with arithmetic weights ⋮ Exponential sums with multiplicative coefficients without the Ramanujan conjecture ⋮ The circle method and bounds for \(L\)-functions. IV: Subconvexity for twists of \(\mathrm{GL}(3)\) \(L\)-functions ⋮ Hybrid bounds on twisted \(L\)-functions associated with modular forms ⋮ Weyl bound for GL(2) in \(t\)-aspect via a simple delta method ⋮ Bounds for twists of \(\mathrm{GL}(3)\) \(L\)-functions ⋮ Burgess-like subconvex bounds for \(\mathrm{GL}_{2}\times \mathrm{GL}_{1}\) ⋮ Twists of GL(3) L-functions ⋮ Weyl bound for \(p\)-power twist of \(\mathrm{GL}(2)L\)-functions ⋮ Subconvexity for twisted 𝐿-functions on 𝐺𝐿₃ over the Gaussian number field ⋮ A Note on Burgess Bound ⋮ The circle method and bounds for 𝐿-functions—III: 𝑡-aspect subconvexity for 𝐺𝐿(3) 𝐿-functions

Cites Work

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