Notes on the Poisson formula
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Publication:2849071
DOI10.1090/S1061-0022-2012-01218-5zbMath1323.11065MaRDI QIDQ2849071
Publication date: 16 September 2013
Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)
Other Dirichlet series and zeta functions (11M41) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) 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)
Related Items (5)
Representations of the discrete Heisenberg group on distribution spaces of two-dimensional local fields ⋮ Orthogonal to principal ideles ⋮ Harmonic analysis on the space of \(M\)-positive vectors ⋮ Harmonic analysis on the rank- value group of a two-dimensional local field ⋮ Aleksei Nikolaevich Parshin (on his 70th birthday)
Cites Work
- Harmonic analysis and the Riemann-Roch theorem
- On a representation of the idele class group related to primes and zeros of \(L\)-functions
- Explicit formulas
- On holomorphic representations of discrete Heisenberg groups
- Sur la rationalité des représentations d'Artin
- Lectures on the theory of algebraic functions of one variable
- Representations of Higher Adelic Groups and Arithmetic
- Harmonic analysis on local fields and adelic spaces. II
- Lefschetz trace formulas and explicit formulas in analytic number theory.
- Distributions sur un groupe localement compact et applications à l'étude des représentations des groupes $p$-adiques
- Harmonic analysis on local fields and adelic spaces. I
- Genus Change in Inseparable Extensions of Function Fields
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