# The large sieve in Riemann surfaces

Acta Arithmetica (1996)

- Volume: 77, Issue: 4, page 303-313
- ISSN: 0065-1036

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top## How to cite

topFernando Chamizo. "The large sieve in Riemann surfaces." Acta Arithmetica 77.4 (1996): 303-313. <http://eudml.org/doc/206921>.

@article{FernandoChamizo1996,

author = {Fernando Chamizo},

journal = {Acta Arithmetica},

keywords = {spectral theory of automorphic forms; Maass cusps forms; Hecke operators; pretrace formula; Riemann surface; large sieve inequality; eigenvalues of Laplace-Beltrami operator; compact Riemannian manifolds},

language = {eng},

number = {4},

pages = {303-313},

title = {The large sieve in Riemann surfaces},

url = {http://eudml.org/doc/206921},

volume = {77},

year = {1996},

}

TY - JOUR

AU - Fernando Chamizo

TI - The large sieve in Riemann surfaces

JO - Acta Arithmetica

PY - 1996

VL - 77

IS - 4

SP - 303

EP - 313

LA - eng

KW - spectral theory of automorphic forms; Maass cusps forms; Hecke operators; pretrace formula; Riemann surface; large sieve inequality; eigenvalues of Laplace-Beltrami operator; compact Riemannian manifolds

UR - http://eudml.org/doc/206921

ER -

## References

top- [Be-Ga-Ma] M. Berger, P. Gauduchon et E. Mazet, Le Spectre d'une Variété Riemannienne, Lecture Notes in Math. 194, Springer, 1971. Zbl0223.53034
- [Bo] E. Bombieri, Le grand crible dans la théorie analytique des nombres, Soc. Math. France, Astérisque 18 (1974).
- [Ch] F. Chamizo, Topics in Analytic Number Theory, Doctoral Thesis, Universidad Autónoma de Madrid, 1994 (in Spanish).
- [Gi-Tr] D. Gilbarg and N. S. Trudinger, Elliptic Partial Differential Equations of Second Order, 2nd ed., Springer, 1983.
- [He] D. A. Hejhal, The Selberg Trace Formula for PSL₂(ℝ), Vol. I, Lecture Notes in Math. 548, Springer, 1976.
- [Iw1] H. Iwaniec, Non-holomorphic modular forms and their applications, in: Modular Forms, Ellis Horwood Series of Halsted Press, New York, 1984, 157-196.
- [Iw2] H. Iwaniec, Spectral theory of automorphic forms and recent developments in analytic number theory, Proc. I.C.M. Berkeley, 1986.
- [Iw3] H. Iwaniec, Introduction to the Spectral Theory of Automorphic Forms, Bibl. Rev. Mat. Iberoamericana, Madrid, 1995.
- [Ku] T. Kubota, Elementary Theory of Eisenstein Series, Wiley, 1973. Zbl0268.10012
- [Mo] H. L. Montgomery, Topics in Multiplicative Number Theory, Lecture Notes in Math. 227, Springer, 1971. Zbl0216.03501
- [Se] A. Selberg, Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series, J. Indian Math. Soc. 20 (1956), 47-87 Zbl0072.08201

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