Extension of analytic number theory and the theory of regularized harmonic series from Dirichlet series to Bessel series

DOI10.1007/BF01445243zbMath0871.11058MaRDI QIDQ1923266

Serge Lang, Jay A. Jorgenson

Publication date: 25 November 1996

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165446

zbMATH Keywords

theta seriesCramér's theoremBessel series

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Other Dirichlet series and zeta functions (11M41) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Spherical harmonics (33C55) Dirichlet series, exponential series and other series in one complex variable (30B50) Harmonic analysis in one variable (42A99) Pseudodifferential operators and other generalizations of partial differential operators (35S99)

Related Items

Hilbert-Asai Eisenstein series, regularized products, and heat kernels ⋮ Explicit formula for the hyperbolic scattering determinant ⋮ Spectral zeta functions of graphs and the Riemann zeta function in the critical strip ⋮ Guinand's theorem and functional equations for the Cramér functions

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