The large sieve in Riemann surfaces

• Autorzy: Fernando Chamizo
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1996
• Tom: 77
• Numer: 4
• Strony: 303-313

Daty

wydano

1996

otrzymano

1995-04-25

Twórcy

autor

Fernando Chamizo

• Departamento de Matemáticas, Facultad de Ciencias, Universidad Autónoma de Madrid, 28049 Madrid, Spain

Bibliografia

• [Be-Ga-Ma] M. Berger, P. Gauduchon et E. Mazet, Le Spectre d'une Variété Riemannienne, Lecture Notes in Math. 194, Springer, 1971.
• [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.
• [Mo] H. L. Montgomery, Topics in Multiplicative Number Theory, Lecture Notes in Math. 227, Springer, 1971.
• [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