# Non-vanishing of modular L-functions on a disc

Acta Arithmetica (2000)

- Volume: 92, Issue: 4, page 303-318
- ISSN: 0065-1036

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top## How to cite

topAmir Akbary. "Non-vanishing of modular L-functions on a disc." Acta Arithmetica 92.4 (2000): 303-318. <http://eudml.org/doc/207390>.

@article{AmirAkbary2000,

author = {Amir Akbary},

journal = {Acta Arithmetica},

keywords = {automorphic -functions; nonvanishing},

language = {eng},

number = {4},

pages = {303-318},

title = {Non-vanishing of modular L-functions on a disc},

url = {http://eudml.org/doc/207390},

volume = {92},

year = {2000},

}

TY - JOUR

AU - Amir Akbary

TI - Non-vanishing of modular L-functions on a disc

JO - Acta Arithmetica

PY - 2000

VL - 92

IS - 4

SP - 303

EP - 318

LA - eng

KW - automorphic -functions; nonvanishing

UR - http://eudml.org/doc/207390

ER -

## References

top- [1] A. Akbary, Non-vanishing of weight k modular L-functions with large level, J. Ramanujan Math. Soc. 14 (1999), 37-54. Zbl1059.11038
- [2] R. Balasubramanian, A note on Dirichlet's L-functions, Acta Arith. 38 (1980), 273-283. Zbl0379.10026
- [3] R. Balasubramanian and V. K. Murty, Zeros of Dirichlet L-functions, Ann. Sci. École. Norm. Sup. 25 (1992), 567-615. Zbl0771.11033
- [4] W. Duke, The critical order of vanishing of automorphic L-functions with large level, Invent. Math. 119 (1995), 165-174. Zbl0838.11035
- [5] W. Duke, J. B. Friedlander and H. Iwaniec, Bounds for automorphic L-functions. II, ibid. 115 (1994), 219-239. Zbl0812.11032
- [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. Zbl0222.10041
- [7] V. K. Murty and T. Stefanicki, Average values of quadratic twists of modular L-functions, unpublished. Zbl0981.11018
- [8] A. Perelli and J. Pomykała, Averages of twisted elliptic L-functions, Acta Arith. 80 (1997), 149-163. Zbl0878.11022
- [9] A. Pizer, Hecke operators for Γ₀(N), J. Algebra 83 (1983), 39-64. Zbl0515.10020

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