On effective determination of modular forms by twists of critical \(L\)-values

DOI10.1007/s00208-009-0465-yzbMath1223.11052OpenAlexW2086172801MaRDI QIDQ976782

Ritabrata Munshi

Publication date: 16 June 2010

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

Full work available at URL: https://doi.org/10.1007/s00208-009-0465-y

zbMATH Keywords

modular formscentral valuemean valuestwists

Mathematics Subject Classification ID

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

Related Items (7)

On effective determination of symmetric-square lifts, level aspect ⋮ On effective determination of cusp forms by \(L\)-values, level aspect ⋮ Central values of GL(2) ×GL(3) Rankin–Selberg L-functions ⋮ Determination of \(\mathrm{GL}(3)\) Hecke-Maass forms from twisted central values ⋮ On effective determination of symmetric-square lifts ⋮ On the effective determination of Maass cusp forms by \(L\)-values ⋮ Determining cuspforms from critical values of convolution L-functions and Rankin–Cohen brackets

Cites Work

• Sur les coefficients de Fourier des formes modulaires de poids demi-entier
• Determination of modular forms by twists of critical \(L\)-values
• Determination of a \(\text{GL}_2\) automorphic cuspidal representation by twists of critical \(L\)-values
• The level of distribution of the special values of L-functions
• Effective multiplicity one on GL n and narrow zero-free regions for Rankin-Selberg L- functions
• Averages of twisted elliptic L-functions
• A mean value estimate for real character sums
• On the order of vanishing of modular $L$-functions at the critical point
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