On general L-functions

• Autorzy: E. Carletti , G. Monti Bragadin , A. Perelli
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1994
• Tom: 66
• Numer: 2
• Strony: 147-179

Daty

wydano

1994

otrzymano

1993-04-09

Twórcy

autor

E. Carletti

• Dipartimento di Matematica, via L. B. Alberti 4, 16132 Genova, Italy

autor

G. Monti Bragadin

• Dipartimento di Matematica, via L. B. Alberti 4, 16132 Genova, Italy

autor

A. Perelli

• Dipartimento di Matematica, via L. B. Alberti 4, 16132 Genova, Italy

Bibliografia

• [1] P. Deligne, La conjecture de Weil II, Publ. Math. I.H.E.S. 52 (1980), 137-252.
• [2] W. Duke and H. Iwaniec, Estimates for coefficients of L-functions I and II, in: Automorphic Forms and Analytic Number Theory, CMR 1990, 43-47; Proc. Amalfi Conf. on Analytic Number Theory, Università di Salerno, 1992, 71-82.
• [3] S. Gelbart and F. Shahidi, Analytic Properties of Automorphic L-functions, Academic Press, 1988.
• [4] D. Goldfeld and C. Viola, Mean values of L-functions associated to elliptic, Fermat and other curves at the center of the critical strip, J. Number Theory 11 (1979), 305-320.
• [5] J. L. Hafner, On the average order of a class of arithmetical functions, J. Number Theory 15 (1982), 36-76.
• [6] D. Joyner, Distribution Theorems of L-Functions, Pitman, 1986.
• [7] N. Kurokawa, On the meromorphy of Euler products I, II, Proc. London Math. Soc. (3) 53 (1986), 1-47 and 209-236.
• [8] J. C. Lagarias, H. L. Montgomery and A. M. Odlyzko, A lower bound for the least prime ideal in Chebotarev density theorem, Invent. Math. 54 (1979), 271-296.
• [9] S. Lang, On the zeta function of number fields, Invent. Math. 12 (1971), 337-345.
• [10] Yu. V. Linnik, The Dispersion Method in Binary Additive Problems, Transl. Math. Monographs 4, Amer. Math. Soc., 1963.
• [11] I. G. Macdonald, Symmetric Functions and Hall Polynomials, Oxford University Press, 1979.
• [12] T. Mitsui, On the prime ideal theorem, J. Math. Soc. Japan 20 (1968), 233-247.
• [13] C. J. Moreno, The method of Hadamard and de la Vallée-Poussin, Enseign. Math. 29 (1983), 89-128.
• [14] A. Perelli, General L-functions, Ann. Mat. Pura Appl. (4) 130 (1982), 287-306.
• [15] A. Perelli and G. Puglisi, Real zeros of general L-functions, Atti. Accad. Naz. Lincei Rend. (8) 70 (1982), 69-74.
• [16] D. Redmond, Explicit formulae for a class of Dirichlet series, Pacific J. Math. 102 (1982), 413-435.
• [17] A. Selberg, Old and new conjectures and results about a class of Dirichlet series, in: Proc. Amalfi Conf. on Analytic Number Theory, Università di Salerno, 1992, 367-385.
• [18] A. V. Sokolovskiĭ, A theorem on the zeros of Dedekind's zeta function and the distance between 'neighboring' prime ideals, Acta Arith. 13 (1967/68), 321-334 (in Russian).
• [19] V. G. Sprindžuk, The vertical distribution of zeros of the zeta function and the extended Riemann hypothesis, Acta Arith. 27 (1975), 317-332 (in Russian).
• [20] H. M. Stark, Some effective cases of the Brauer-Siegel theorem, Invent. Math. 23 (1974), 135-152.
• [21] E. C. Titchmarsh, The Theory of the Riemann Zeta-Function, Clarendon Press, Oxford, 1951.