The large sieve in Riemann surfaces

Fernando Chamizo

Acta Arithmetica (1996)

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

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Fernando 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

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  1. [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
  2. [Bo] E. Bombieri, Le grand crible dans la théorie analytique des nombres, Soc. Math. France, Astérisque 18 (1974). 
  3. [Ch] F. Chamizo, Topics in Analytic Number Theory, Doctoral Thesis, Universidad Autónoma de Madrid, 1994 (in Spanish). 
  4. [Gi-Tr] D. Gilbarg and N. S. Trudinger, Elliptic Partial Differential Equations of Second Order, 2nd ed., Springer, 1983. 
  5. [He] D. A. Hejhal, The Selberg Trace Formula for PSL₂(ℝ), Vol. I, Lecture Notes in Math. 548, Springer, 1976. 
  6. [Iw1] H. Iwaniec, Non-holomorphic modular forms and their applications, in: Modular Forms, Ellis Horwood Series of Halsted Press, New York, 1984, 157-196. 
  7. [Iw2] H. Iwaniec, Spectral theory of automorphic forms and recent developments in analytic number theory, Proc. I.C.M. Berkeley, 1986. 
  8. [Iw3] H. Iwaniec, Introduction to the Spectral Theory of Automorphic Forms, Bibl. Rev. Mat. Iberoamericana, Madrid, 1995. 
  9. [Ku] T. Kubota, Elementary Theory of Eisenstein Series, Wiley, 1973. Zbl0268.10012
  10. [Mo] H. L. Montgomery, Topics in Multiplicative Number Theory, Lecture Notes in Math. 227, Springer, 1971. Zbl0216.03501
  11. [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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