Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:compact_Riemann_surfaces
modular surfaces |
| gptkbp:describes |
relationship between lengths of closed geodesics and eigenvalues of Laplacian
|
| gptkbp:field |
gptkb:mathematics
number theory spectral theory automorphic forms |
| gptkbp:generalizes |
gptkb:Poisson_summation_formula
explicit formulas in analytic number theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Selberg trace formula
|
| gptkbp:introducedIn |
1956
|
| gptkbp:namedAfter |
gptkb:Atle_Selberg
|
| gptkbp:relatedTo |
gptkb:Arthur–Selberg_trace_formula
harmonic analysis spectral decomposition |
| gptkbp:type |
trace formula
|
| gptkbp:usedFor |
studying distribution of prime geodesics
studying spectrum of Laplacian |
| gptkbp:usedIn |
gptkb:Langlands_program
representation theory |
| gptkbp:bfsParent |
gptkb:Atle_Selberg
gptkb:Selberg_zeta_function |
| gptkbp:bfsLayer |
5
|