On an open problem of Sankaranarayanan

DOI10.1007/s11425-009-0183-7zbMath1217.11043OpenAlexW2058534997MaRDI QIDQ989759

Guangshi Lü

Publication date: 23 August 2010

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0183-7

zbMATH Keywords

Fourier coefficients of cusp formsLanglands programsymmetric power \(L\)-function

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Holomorphic modular forms of integral weight (11F11)

Related Items (10)

Asymptotics for cuspidal representations by functoriality from \(\mathrm{GL}(2)\) ⋮ Tong-type identity and the mean square of the error term for an extended Selberg class ⋮ Sign changes of Fourier coefficients of cusp forms supported on prime power indices ⋮ A short note on sign changes ⋮ Uniform estimates for sums of coefficients of symmetric power \(L\)-functions ⋮ On the mean-square of the error term related to \(\sum_{n\leq x} \lambda^2 (n^j)\) ⋮ Unnamed Item ⋮ Some results on divisor problems related to cusp forms ⋮ A note on signs of Fourier coefficients of two cusp forms ⋮ Sign changes of coefficients of certain Dirichlet series

Cites Work

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• Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. II
• Cuspidality of symmetric powers with applications.
• Functorial products for \(\text{GL}_2\times \text{GL}_3\) and the symmetric cube for \(\text{GL}_2\).
• On a sum involving Fourier coefficients of cusp forms
• Behavior of automorphic \(L\)-functions at the center of the critical strip
• A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$
• Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂

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