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Czwarty problem milenijny : hipoteza Riemanna

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Tom
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91--120
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Bibliogr. 35 poz.
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Bibliografia
  • [1] J. Вourgain, On large values estimates for Dirichlet polynomials and the density hypothesis for the Riemann zeta function, Internat. Math. Res. Notices 3 (2000), 133-146.
  • [2] E. Воmbieri, Counting points on curves over finite fields (d’après A. Stepanov), Séminaire Bourbaki 430 (1972-1973).
  • [3] E. Воmbieri, H. Iwaniec, On the order of C ζ(l/2 + it), Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 13 (1986), 449-472.
  • [4] J. W. S. Cassels, A. Fröhlich, Algebraic Number Theory, Academic Press, 1967.
  • [5] В. Соnrey, More than two fifths of the zeros of the Riemann zeta function are on the critical line, J. Reine Angew. Math. 399 (1989), 1-26.
  • [6] B. Соnrey, L-functions and random matrices, w: Mathematics Unlimited — 2001 and Beyond, Springer, 2001, 331-352.
  • [7] H. Davenport, Multiplicative Number Theory, 3rd edition, Grad. Texts in Math. 74, Springer, 2000.
  • [8] P. Deligne, La conjecture de Weil, I, Publ. Math. IHES 43 (1974), 273-307.
  • [9] R. Gоdement, H. Jacquet, Zeta Functions of Simple Algebras, Lecture Notes in Math. 260, Springer, 1972.
  • [10] R. Hartshorne, Algebraic Geometry, Springer, 1977.
  • [11] С. Нооley, On Artin’s conjecture, J. Reine Angew. Math. 225 (1967), 209-220.
  • [12] M. N. Huxley, On the difference between consequtive primes, Invent. Math. 15 (1972), 164-170.
  • [13] H. Iwaniec, Topics in Classical Authomorphic Forms, Grad. Stud. in Math. 17, Amer. Math. Soc., 1997.
  • [14] A. Ivić, The Riemann Zeta Function, Wiley-Interscience, 1985.
  • [15] H. Jacquet, Principal L-functions of the linear group, Proc. Sympos. Pure Math. 33 (2) (1979), 63-86.
  • [16] J. Kaczorowski, Boundary values of Dirichlet polynomials and the distribution of primes, w: Proc. ECM (Budapest, 1996), Progr. Math. 168, 1998, 237-254.
  • [17] J. Kaczorowski, VIII problem Hilberta, w: Problemy Hilberta (redaktor: W. Więław), Instytut Historii Nauki PAN, Warszawa, 1997.
  • [18] J. Kaczorowski, A. Perelli, The Selberg class: a survey, w: Number Theory in Progress, Proc. Conf. in Honor of A. Schinzel, ed. by K. Györy et al., de Gruyter, 1999, 953-992.
  • [19] N. Katz, P. Sarnak, Zeros of zeta functions and symmetry, Bull. Amer. Math. Soc. 36 (1999), 1-26.
  • [20] R. Langlands, Problems in the theory of automorphic forms, w: Lecture Notes in Math. 170, Springer, 1970, 18-86.
  • [21] G. L. Miller, Riemann’s hypothesis and tests for primality, J. Comput. Systems Sci. 13 (1976), 300-317.
  • [22] T. Miyake, Modular Forms, Springer, 1989.
  • [23] H. L. Montgomery, Topics in Multiplicative Number Theory, Springer, 1971.
  • [24] H. L. Montgomery, The pair-correlation of zeros of the zeta function, Proc. Sympos. Pure Math. 24, Amer. Math. Soc., 1973, 181-193.
  • [25] W. Narkiewicz, Elementary and Analytic Theory of Algebraic Numbers, Springer-PWN, 1990.
  • [26] W. Narkiewicz, The Development of Prime Number Theory, Springer, 2000.
  • [27] A. Odlyzkо, The 1020-th zero of the Riemann zeta function and 70 million of its neighbors, ATT preprint, 1989.
  • [28] J. C. Lagarias, A. Odlyzkо, Effective versions of the Chebotarev density theorem, w: Algebraic Number Fields, ed. by A. Fröhlich, Academic Press, 1977, 409-464.
  • [29] K. Prachar, Primzahlverteilung, Springer, 1957.
  • [30] A. Selberg, Contributions to the theory of the Riemann zeta-function, Archiv f. Mathematik og Naturvidenskab. 48 (1946), 89-155.
  • [31] A. Selberg, Old and new conjectures and results about a class of Dirichlet series, w: Proc. Amalfi Conf. on Analytic Number Theory, ed. by E. Bombieri et al., 367-385, Universitá di Salerno, 1992; Collected Papers, vol. II, 47-63, Springer, 1991.
  • [32] E. C. Titchmarsh, The Theory of the Riemann Zeta Function, 2nd edition, Clarendon Press, 1986.
  • [33] A. Weil, Sur les Courbes Algébriques et les Variétés qui s’en déduisent, Hermann, Paris, 1948.
  • [34] A. Weil, Courbes Algébriques et les Variétés Abéliennes, Hermann, Paris, 1971.
  • [35] A. Wiles, Modular elliptic curves and Fermat’s last theorem, Ann. of Math. 141 (1995), 443-551.
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Bibliografia
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bwmeta1.element.baztech-article-BUS2-0003-0015
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