Distinct zeros of L-functions

• Autorzy: E. Bombieri , A. Perelli
• Języki publikacji: EN

Kategorie tematyczne

• 11M41: Other Dirichlet series and zeta functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1998
• Tom: 83
• Numer: 3
• Strony: 271-281

Daty

wydano

1998

otrzymano

1997-03-24

Twórcy

autor

E. Bombieri

• School of Mathematics, Institute for Advanced Study, Princeton, New Jersey 08540, U.S.A.

autor

A. Perelli

• Dipartimento di Matematica, Via Dodecaneso 35, 16146 Genova, Italy

Bibliografia

• [1] E. Bombieri and D. A. Hejhal, On the distribution of zeros of linear combinations of Euler products, Duke Math. J. 80 (1995), 821-862.
• [2] J. B. Conrey and A. Ghosh, On the Selberg class of Dirichlet series: small degrees, Duke Math. J. 72 (1993), 673-693.
• [3] J. B. Conrey, A. Ghosh and S. M. Gonek, Simple zeros of the zeta function of a quadratic number field, I, Invent. Math. 86 (1986), 563-576.
• [4] J. B. Conrey, A. Ghosh and S. M. Gonek, Simple zeros of the zeta function of a quadratic number field, II, in: Analytic Number Theory and Dioph. Probl., A. C. Adolphson et al. (eds.), Birkhäuser, 1987, 87-114.
• [5] A. Fujii, On the zeros of Dirichlet's L-functions. I, Trans. Amer. Math. Soc. 196 (1974), 225-235.
• [6] A. Fujii, On the zeros of Dirichlet's L-functions. V, Acta Arith. 28 (1976), 395-403.
• [7] J. Kaczorowski and A. Perelli, Functional independence of the singularities of a class of Dirichlet series, Amer. J. Math., to appear.
• [8] W. Luo, Zeros of Hecke L-functions associated with cusp forms, Acta Arith. 71 (1995), 139-158.
• [9] A. Selberg, Contributions to the theory of the Riemann zeta-function, Archiv Math. Naturvid. 48 (1946), 89-155; Collected Papers, Vol. I, Springer, 1989, 214-280.
• [10] A. Selberg, Old and new conjectures and results about a class of Dirichlet series, in: Proc. Amalfi Conf. Analytic Number Theory, E. Bombieri et al. (eds.), Università di Salerno, 1992, 367-385; Collected Papers, Vol. II, Springer, 1991, 47-63.