Non-vanishing of modular L-functions on a disc

• Autorzy: Amir Akbary
• Języki publikacji: EN

Kategorie tematyczne

• 11F67: Special values of automorphic L -series, periods of modular forms, cohomology, modular symbols

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2000
• Tom: 92
• Numer: 4
• Strony: 303-318

Daty

wydano

2000

otrzymano

1998-04-28

poprawiono

1999-12-10

Twórcy

autor

Amir Akbary

• Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve Blvd. West, Montréal, Quebec, H3G 1M8, Canada

Bibliografia

• [1] A. Akbary, Non-vanishing of weight k modular L-functions with large level, J. Ramanujan Math. Soc. 14 (1999), 37-54.
• [2] R. Balasubramanian, A note on Dirichlet's L-functions, Acta Arith. 38 (1980), 273-283.
• [3] R. Balasubramanian and V. K. Murty, Zeros of Dirichlet L-functions, Ann. Sci. École. Norm. Sup. 25 (1992), 567-615.
• [4] W. Duke, The critical order of vanishing of automorphic L-functions with large level, Invent. Math. 119 (1995), 165-174.
• [5] W. Duke, J. B. Friedlander and H. Iwaniec, Bounds for automorphic L-functions. II, ibid. 115 (1994), 219-239.
• [6] P. D. T. A. Elliott, On the distribution of the values of Dirichlet L-series in the half plane σ>1/2, Indag. Math. 33 (1971), 222-234.
• [7] V. K. Murty and T. Stefanicki, Average values of quadratic twists of modular L-functions, unpublished.
• [8] A. Perelli and J. Pomykała, Averages of twisted elliptic L-functions, Acta Arith. 80 (1997), 149-163.
• [9] A. Pizer, Hecke operators for Γ₀(N), J. Algebra 83 (1983), 39-64.