Facteurs $\bbfQ$-simples de $J_{0}(N)$ de grande dimension et de grand rang

DOI10.24033/bsmf.2369zbMath0968.11027OpenAlexW2585496832MaRDI QIDQ4486439

Emmanuel Royer

Publication date: 27 June 2000

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_2000__128_2_219_0

zbMATH Keywords

Jacobianmodular formsL-seriesHecke-operatorstrace-formula

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Holomorphic modular forms of integral weight (11F11) Arithmetic aspects of modular and Shimura varieties (11G18) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (11)

Averages of central \(L\)-values of Hilbert modular forms with an application to subconvexity ⋮ Sato-Tate theorem for families and low-lying zeros of automorphic \(L\)-functions. Appendix A by Robert Kottwitz, and Appendix B by Raf Cluckers, Julia Gordon and Immanuel Halupczok. ⋮ Equidistribution theorems for holomorphic Siegel modular forms for \(\mathrm{GSp}_4\); Hecke fields and \(n\)-level density ⋮ Weighted averages of modular 𝐿-values ⋮ On fields of rationality for automorphic representations ⋮ Amplification arguments for large sieve inequalities ⋮ Factoring newparts of Jacobians of certain modular curves ⋮ Effective equidistribution of eigenvalues of Hecke operators ⋮ Relative trace formulas and subconvexity estimates for $L$-functions of Hilbert modular forms ⋮ Equidistribution of Fourier coefficients of square and cube symmetric \(L\)-functions ⋮ Spectral means of central values of automorphic 𝐿-functions for 𝐺𝐿(2)

Cites Work

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• Fourier coefficients and modular forms of half-integral weight
• Heegner points and derivatives of \(L\)-series
• Nonvanishing of \(L\)-functions for \(\mathrm{GL}(2)\)
• Spectra of elements in the group ring of SU(2)
• On the positivity of the central critical values of automorphic \(L\)-functions for \(GL(2)\)
• The analytic rank of \(J_0(q)\) and zeros of automorphic \(L\)-functions.
• The distribution of the eigenvalues of Hecke operators
• On the number of polynomials of bounded measure
• Répartition asymptotique des valeurs propres de l’opérateur de Hecke 𝑇_𝑝
• The non-vanishing of central values of automorphic \(L\)-functions and Landau-Siegel zeros

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