Dirichlet polynomial approximations to zeta functions

E. Bombieri; J. B. Friedlander

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1995)

  • Volume: 22, Issue: 3, page 517-544
  • ISSN: 0391-173X

How to cite

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Bombieri, E., and Friedlander, J. B.. "Dirichlet polynomial approximations to zeta functions." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 22.3 (1995): 517-544. <http://eudml.org/doc/84215>.

@article{Bombieri1995,
author = {Bombieri, E., Friedlander, J. B.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {approximation to ; -functions; Riemann zeta-function; Dirichlet polynomials; generalized Dirichlet polynomial},
language = {eng},
number = {3},
pages = {517-544},
publisher = {Scuola normale superiore},
title = {Dirichlet polynomial approximations to zeta functions},
url = {http://eudml.org/doc/84215},
volume = {22},
year = {1995},
}

TY - JOUR
AU - Bombieri, E.
AU - Friedlander, J. B.
TI - Dirichlet polynomial approximations to zeta functions
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1995
PB - Scuola normale superiore
VL - 22
IS - 3
SP - 517
EP - 544
LA - eng
KW - approximation to ; -functions; Riemann zeta-function; Dirichlet polynomials; generalized Dirichlet polynomial
UR - http://eudml.org/doc/84215
ER -

References

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  1. [B] H. Bohr, Almost Periodic Functions. Translated by H. Cohn and F. Steinhardt, Chelsea, New York, 1951. Zbl0005.20303
  2. [Bo] E. Bombieri, Le Grand Crible dans la Théorie Analytique des Nombres. 2nd ed. Astérisque 18, Société Math. de France, Paris, 1987. Zbl0618.10042MR891718
  3. [H] E. Hille, Analytic Function Theory. Vol. II, Ginn and Co., Boston, 1962. Zbl0102.29401MR201608
  4. [S] A. Selberg, Old and new conjectures and results about a class of Dirichlet series. Proc. of the Amalfi Conference on Analytic Number Theory, September 1989, Univ. of Salerno1992, 367-385(= Collected Papers, vol. II, Springer-Verlag, Berlin, 1991, 47-63). Zbl0787.11037MR1220477
  5. [Si] C.L. Siegel, On the zeros of the Dirichlet L-functions. Ann. of Math., 46 (1945), 409-422(= Gesammelte Abhandlungen, Bd. III, Springer-Verlag, Berlin, 1966, 47-60). Zbl0063.07012MR13397
  6. [T] E.C. Titchmarsh, The Theory of the Riemann Zeta-Function. 2nd ed., revised by D. R. Heath-Brown. Oxford University Press, Oxford, 1986. Zbl0601.10026MR882550

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