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Zeroes of \(L\)-functions and toric forms

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Publication:1854692
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DOI10.1016/S1631-073X(02)02447-0zbMath1183.11056OpenAlexW2962837064MaRDI QIDQ1854692

Gilles Lachoud

Publication date: 6 February 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02447-0


zbMATH Keywords

Hilbert spacespectrumself-adjoint operatoridele class grouptoric formsZeros of \(L\)-functions


Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)


Related Items (4)

Automorphic forms for elliptic function fields ⋮ Spectral analysis and the Riemann hypothesis. ⋮ Toroidal automorphic forms for function fields ⋮ Toroidal automorphic forms for some function fields



Cites Work

  • On the inner product of truncated Eisenstein series
  • Séries d'Eisenstein, intégrales toroïdales et une formule de Hecke. (Eisenstein series, toroidal integrals and a formula of Hecke)
  • Trace formula in noncommutative geometry and the zeros of the Riemann zeta function
  • Sur les zéros des fonctions L automorphes
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