Non-vanishing of modular L-functions on a disc

Amir Akbary

Acta Arithmetica (2000)

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

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Amir 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

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  1. [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. [2] R. Balasubramanian, A note on Dirichlet's L-functions, Acta Arith. 38 (1980), 273-283. Zbl0379.10026
  3. [3] R. Balasubramanian and V. K. Murty, Zeros of Dirichlet L-functions, Ann. Sci. École. Norm. Sup. 25 (1992), 567-615. Zbl0771.11033
  4. [4] W. Duke, The critical order of vanishing of automorphic L-functions with large level, Invent. Math. 119 (1995), 165-174. Zbl0838.11035
  5. [5] W. Duke, J. B. Friedlander and H. Iwaniec, Bounds for automorphic L-functions. II, ibid. 115 (1994), 219-239. Zbl0812.11032
  6. [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. [7] V. K. Murty and T. Stefanicki, Average values of quadratic twists of modular L-functions, unpublished. Zbl0981.11018
  8. [8] A. Perelli and J. Pomykała, Averages of twisted elliptic L-functions, Acta Arith. 80 (1997), 149-163. Zbl0878.11022
  9. [9] A. Pizer, Hecke operators for Γ₀(N), J. Algebra 83 (1983), 39-64. Zbl0515.10020

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