The rank of quotients of \(J_0(N)\)

DOI10.1215/S0012-7094-99-09721-1zbMath1013.11030OpenAlexW2009376638MaRDI QIDQ1974912

Jeffrey M. Vanderkam

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-99-09721-1

zbMATH Keywords

Hecke operatorsmollifiersEichler-Selberg trace formula\(L\)-functions with low-order zeros

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Arithmetic aspects of modular and Shimura varieties (11G18) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items

Mollification and non-vanishing of automorphic \(L\)-functions on \(\mathrm{GL}(3)\), Nonvanishing of central \(L\)-values of Maass forms, Moments of central 𝐿-values for Maass forms over imaginary quadratic fields, Non-vanishing of automorphic \(L\)-functions of prime power level, On quotients of derivatives of \(L\)-functions inside the critical strip, Families of \(L\)-functions of automorphic forms and applications, Non-vanishing of high derivatives of Dirichlet \(L\)-functions at the central point, The analytic rank of \(J_0(q)\) and zeros of automorphic \(L\)-functions., Non-vanishing of Maass form $L$-functions at the central point, On the distribution of values of \(L(1, f)\), On central \(L\)-derivative values of automorphic forms, The first moment of twisted Hecke \(L\)-functions with unbounded shifts, The non-vanishing of central values of automorphic \(L\)-functions and Landau-Siegel zeros, Non-vanishing of \(L\)-functions of Hilbert modular forms at the central point, TWISTS OF AUTOMORPHIC L-FUNCTIONS AT THE CENTRAL POINT, Low lying zeros of families of \(L\)-functions, Moments of \(L\)-functions and the Liouville-Green method, Rankin-Selberg \(L\)-functions in the level aspect., Zeroes of zeta functions and symmetry, An on-average Maeda-type conjecture in the level aspect

Cites Work

• Hecke operators and the weight distributions of certain codes
• Heegner points and derivatives of \(L\)-series
• Heegner points and derivatives of \(L\)-series. II
• Modular curves and the Eisenstein ideal
• The critical order of vanishing of automorphic \(L\)-functions with large level
• Bounds for the torsion of elliptic curves over number fields
• Répartition asymptotique des valeurs propres de l’opérateur de Hecke 𝑇_𝑝
• On Character Sums and L -Series. II
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