Existence of a non-entire twist for a class of L-functions

• Autorzy: G. Molteni
• Języki publikacji: EN

Kategorie tematyczne

• 11M41: Other Dirichlet series and zeta functions
• 11M99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2000
• Tom: 93
• Numer: 1
• Strony: 53-65

Daty

wydano

2000

otrzymano

1999-02-03

Twórcy

autor

G. Molteni

• Dipartimento di Matematica, Università di Milano, Via Saldini 50, I-20133 Milano, Italy

Bibliografia

• [1] W. Duke and H. Iwaniec, Convolution L-series, Compositio Math. 91 (1994), 145-158.
• [2] W. Duke and H. Iwaniec, Estimates for coefficients of L-functions II, in: Proc. Amalfi Conf. Analytic Number Theory (1989), E. Bombieri et al. (eds.), Università di Salerno, 1992, 71-82.
• [3] J. Kaczorowski and A. Perelli, On the structure of the Selberg class, I: 0 ≤ d ≤ 1, Acta Math. 182 (1999), 207-241.
• [4] T. Miyake, Modular Forms, Springer, 1989.
• [5] A. Selberg, Old and new conjectures and results about a class of Dirichlet series, in: Collected Papers, Vol. II, Springer, 1991, 47-63; also in: Proc. Amalfi Conf. Analytic Number Theory (1989), E. Bombieri et al. (eds.), Università di Salerno, 1992, 367-385.
• [6] F. Shahidi, On certain L-functions, Amer. J. Math. 103 (1980), 297-355.
• [7] F. Shahidi, Third symmetric power L-functions for GL(2), Compositio Math. 70 (1989), 245-275.
• [8] G. Shimura, On the holomorphy of certain Dirichlet series, Proc. London Math. Soc. 31 (1975), 79-98.