Determination of ${\bf GL}(2)$ Maass forms from twists in the level aspect

DOI10.4064/aa180314-2-9zbMath1441.11122OpenAlexW2943846867MaRDI QIDQ5226445

Biswajyoti Saha, Jyoti Sengupta

Publication date: 31 July 2019

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

Full work available at URL: https://doi.org/10.4064/aa180314-2-9

zbMATH Keywords

central valueRankin-Selberg \(L\)-functionMaass formlevel aspect

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Holomorphic modular forms of integral weight (11F11)

Related Items (1)

First moments of Rankin-Selberg convolutions of automorphic forms on \(\mathrm{GL}(2)\)

Cites Work

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• On effective determination of Maass forms from central values of Rankin-Selberg \(L\)-function
• Determining modular forms on \(\text{SL}_2(\mathbb Z)\) by central values of convolution \(L\)-functions
• Special \(L\)-values of Rankin-Selberg convolutions
• Determination of modular forms by twists of critical \(L\)-values
• The cubic moment of central values of automorphic \(L\)-functions
• Rankin-Selberg \(L\)-functions in the level aspect.
• Comparison of Arakelov and Poincaré metrics on \(X_0(N)\)
• Kloosterman sums in residue classes

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