On the analytic continuation of certain Poincaré series of elliptic modular groups
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Publication:1103664
DOI10.2748/tmj/1178227922zbMath0646.10020OpenAlexW2000292660MaRDI QIDQ1103664
Publication date: 1988
Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2748/tmj/1178227922
integral equationresolvent kernelPoincaré seriesmeromorphic continuationautomorphic formcusp formelliptic modular group
Theta series; Weil representation; theta correspondences (11F27) Automorphic forms in several complex variables (32N10)
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Zur Berechnung des Ranges der Schar der elliptischen Spitzenformen. (On the calculation of the dimension of the vector space of elliptic cusp forms), Über die Scatteringmatrix elliptischer Modulgruppen. (On the scattering matrix of elliptic modular groups)
Cites Work
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- On certain Poincaré series of elliptic modular groups
- The arithmetic and geometry of some hyperbolic three manifolds
- Analytische Fortsetzung der Eisensteinreihen zu den parabolischen Spitzen von Grenzkreisgruppen erster Art
- Lectures on modular functions of one complex variable. Notes by Sunder Lal. Rev. ed
- The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
- On Eisenstein series
- Convolution of the Fourier coefficients of the Eisenstein-Maass series
- Fuchsian groups and small eigenvalues of the Laplace operator
- A postscript to my article Riemann, Betti and the birth of topology
- Beiträge zur Theorie der Dirichletreihen, die Spitzenformen zugeordnet sind
- Kloosterman sums and Fourier coefficients of cusp forms
- Fourier coefficients of cusp forms
- Über die Kloostermanschen Summen \(S(u,v;q)\)
- Darstellung der eigentlich-automorphen Formen (-2)-ter Dimension durch eine Art Poincarescher Reihen bei gewissen Grenzkreisgruppen
- Zur Abschätzung der Fourierkoeffizienten ganzer Modulformen
- Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. I, II. (The eigenvalue problem of automorphic forms in the hyperbolic plane. I. II)
- Über die Anzahl der Spitzen Siegelscher Modulgruppen
- On discontinuous groups operating on the product of the upper half planes
- The Fredholm theory of integral equations
- Über eine neue Art von nichtanalytischen automorphen Funktionen und die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen. (On a new type of nonanalytic automorphic functions and the determination of Dirichlet series by functional equations)
- Die Differentialgleichungen in der Theorie der elliptischen Modulfunktionen. (The differential equations in the theory of elliptic modular functions)
- Über die Darstellung der ganzen Spitzenformen zu den Idealstufen der Hilbertschen Modulgruppe und die Abschätzung ihrer Fourierkoeffizienten
- Estimates for Nonanalytic Cusp Forms
- Character sums and small eigenvalues for Г0(p)
- PETERSSON'S CONJECTURE FOR CUSP FORMS OF WEIGHT ZERO AND LINNIK'S CONJECTURE. SUMS OF KLOOSTERMAN SUMS
- A lattice‐point problem in hyperbolic space
- Fourier coefficients of the resolvent for a Fuchsian group.
- A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$
- A class of nonanalytic automorphic functions
- Some Remarks on Symplectic Groups, Modular Groups and Poincare's Series
- The Confluent Hypergeometric Function
- Resolvente zum Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. I