# Certain mean values and non-vanishing of automorphic L-functions with large level

Acta Arithmetica (2000)

- Volume: 93, Issue: 2, page 157-176
- ISSN: 0065-1036

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top## How to cite

topYuichi Kamiya. "Certain mean values and non-vanishing of automorphic L-functions with large level." Acta Arithmetica 93.2 (2000): 157-176. <http://eudml.org/doc/207407>.

@article{YuichiKamiya2000,

author = {Yuichi Kamiya},

journal = {Acta Arithmetica},

keywords = {automorpic -functions; mean value; nonvanishing},

language = {eng},

number = {2},

pages = {157-176},

title = {Certain mean values and non-vanishing of automorphic L-functions with large level},

url = {http://eudml.org/doc/207407},

volume = {93},

year = {2000},

}

TY - JOUR

AU - Yuichi Kamiya

TI - Certain mean values and non-vanishing of automorphic L-functions with large level

JO - Acta Arithmetica

PY - 2000

VL - 93

IS - 2

SP - 157

EP - 176

LA - eng

KW - automorpic -functions; mean value; nonvanishing

UR - http://eudml.org/doc/207407

ER -

## References

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- [3] W. Duke, The critical order of vanishing of automorphic L-functions with large level, Invent. Math. 119 (1995), 165-174. Zbl0838.11035
- [4] W. Duke, J. B. Friedlander and H. Iwaniec, Bounds for automorphic L-functions, II, ibid. 115 (1994), 219-239. Zbl0812.11032
- [5] D. Goldfeld, J. Hoffstein and D. Lieman, An effective zero-free region, Appendix to: Coefficients of Maass forms and the Siegel zero, Ann. of Math. 140 (1994), 177-181.
- [6] J. Hoffstein and P. Lockhart, Coefficients of Maass forms and the Siegel zero, ibid. 140 (1994), 161-176. Zbl0814.11032
- [7] H. Iwaniec, Topics in Classical Automorphic Forms, Grad. Studies Math. 17, Amer. Math. Soc., Providence, RI, 1997. Zbl0905.11023
- [8] W. W. Li, Newforms and functional equations, Math. Ann. 212 (1975), 285-315. Zbl0278.10026
- [9] G. Shimura, Introduction to the Arithmetic Theory of Automorphic Functions, Princeton Univ. Press, 1971. Zbl0221.10029
- [10] A. Weil, On some exponential sums, Proc. Nat. Acad. Sci. U.S.A. 34 (1948), 204-207. Zbl0032.26102

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