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

DOI10.4064/aa180711-9-5zbMath1452.11057arXiv1805.04892OpenAlexW3010470604MaRDI QIDQ3298855

Saurabh Kumar Singh, Sumit Kumar, Gopal Maiti, Ratnadeep Acharya

Publication date: 16 July 2020

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.04892

zbMATH Keywords

Maass formsPoisson summation formulaHecke eigenformsVoronoi summation formula

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Other Dirichlet series and zeta functions (11M41) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (1)

GL(2) Weyl bound via a multiplicative character delta method

Cites Work

• Lectures on a method in the theory of exponential sums
• Rankin-Selberg \(L\)-functions in the level aspect.
• Distribution of Maass of holomorphic cusp forms
• Decoupling, exponential sums and the Riemann zeta function
• The square mean of Dirichlet series associated with cusp forms
• The circle method and bounds for 𝐿-functions—III: 𝑡-aspect subconvexity for 𝐺𝐿(3) 𝐿-functions
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