Zero density estimates of L-functions associated with cusp forms

• Autorzy: Yuichi Kamiya
• Języki publikacji: EN

Kategorie tematyczne

• 11N75: Applications of automorphic functions and forms to multiplicative problems
• 11M26: Nonreal zeros of ζ ( s ) and L ( s , χ ) ; Riemann and other hypotheses

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1998
• Tom: 85
• Numer: 3
• Strony: 209-227

Daty

wydano

1998

otrzymano

1997-05-05

poprawiono

1998-02-13

Twórcy

autor

Yuichi Kamiya

• Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya 464-01, Japan

Bibliografia

• [1] H. Davenport, Multiplicative Number Theory, 2nd ed., Grad. Texts in Math. 74, Springer, Berlin, 1980.
• [2] P. Deligne, La conjecture de Weil, Inst. Hautes Études Sci. Publ. Math. 43 (1974), 273-307.
• [3] A. Good, Approximative Funktionalgleichungen und Mittelwertsätze für Dirichletreihen, die Spitzenformen assoziiert sind, Comment. Math. Helv. 50 (1975), 327-361.
• [4] A. Ivić, On zeta-functions associated with Fourier coefficients of cusp forms, in: Proceedings of the Amalfi Conference on Analytic Number Theory, E. Bombieri et al. (eds.), Università di Salerno, 1992, 231-246.
• [5] T. Miyake, Modular Forms, Springer, Berlin, 1989.
• [6] H. L. Montgomery, Topics in Multiplicative Number Theory, Lecture Notes in Math. 227, Springer, Berlin, 1971.
• [7] R. A. Rankin, Contributions to the theory of Ramanujan's function τ(n) and similar arithmetical functions II, Proc. Cambridge Philos. Soc. 35 (1939), 357-372.