A spectral interpretation of the zeros of the constant term of certain Eisenstein series
DOI10.1515/CRELLE.2008.049zbMath1230.11109arXivmath/0703340MaRDI QIDQ3524822
Publication date: 15 September 2008
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0703340
spectral interpretationconstant term of non-normalized Eisenstein serieseigenvalues of self-adjoint operator
Zeta functions and (L)-functions of number fields (11R42) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)
Related Items (2)
Cites Work
- On a result of G. Pólya concerning the Riemann \(\xi\)-function
- The Riemann hypothesis for certain integrals of Eisenstein series
- A complete determination of the complex quadratic fields of class-number one
- Generators and relations for certain special linear groups
- Zeros of the constant term in the Chowla–Selberg formula
- The Determinant of the Eisenstein Matrix and Hilbert Class Fields
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