On effective determination of cusp forms by \(L\)-values, level aspect

DOI10.1016/j.jnt.2014.03.012zbMath1294.11068OpenAlexW2025146716MaRDI QIDQ403300

Qinghua Pi

Publication date: 29 August 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.03.012

zbMATH Keywords

Rankin-Selberg \(L\)-functioneffective determinationholomorphic newform

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Holomorphic modular forms of integral weight (11F11)

Related Items (1)

Central values of GL(2) ×GL(3) Rankin–Selberg L-functions

Cites Work

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• Determination of cusp forms by central values of Rankin-Selberg \(L\)-functions
• On effective determination of Maass forms from central values of Rankin-Selberg \(L\)-function
• Determination of \(\text{GL}(3)\) cusp forms by central values of \(\text{GL}(3)\times \text{GL}(2)\, L\)-functions, level aspect
• Determining cusp forms by central values of Rankin-Selberg \(L\)-functions
• Determining modular forms on \(\text{SL}_2(\mathbb Z)\) by central values of convolution \(L\)-functions
• On effective determination of modular forms by twists of critical \(L\)-values
• Special \(L\)-values of Rankin-Selberg convolutions
• Determination of modular forms by twists of critical \(L\)-values
• La conjecture de Weil. I
• Rankin-Selberg \(L\)-functions in the level aspect.
• Determination of a \(\text{GL}_2\) automorphic cuspidal representation by twists of critical \(L\)-values
• Determination of GL(3) Cusp Forms by Central Values of GL(3) x GL(2) L-functions
• Determining modular forms of general level by central values of convolution L-functions
• On the Siegel-Tatuzawa theorem

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