Existence of a non-entire twist for a class of L-functions

G. Molteni

Acta Arithmetica (2000)

  • Volume: 93, Issue: 1, page 53-65
  • ISSN: 0065-1036

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G. Molteni. "Existence of a non-entire twist for a class of L-functions." Acta Arithmetica 93.1 (2000): 53-65. <http://eudml.org/doc/207399>.

@article{G2000,
author = {G. Molteni},
journal = {Acta Arithmetica},
keywords = {-function; Dirichlet series; Selberg class; Euler product; functional equation; twists},
language = {eng},
number = {1},
pages = {53-65},
title = {Existence of a non-entire twist for a class of L-functions},
url = {http://eudml.org/doc/207399},
volume = {93},
year = {2000},
}

TY - JOUR
AU - G. Molteni
TI - Existence of a non-entire twist for a class of L-functions
JO - Acta Arithmetica
PY - 2000
VL - 93
IS - 1
SP - 53
EP - 65
LA - eng
KW - -function; Dirichlet series; Selberg class; Euler product; functional equation; twists
UR - http://eudml.org/doc/207399
ER -

References

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  1. [1] W. Duke and H. Iwaniec, Convolution L-series, Compositio Math. 91 (1994), 145-158. 
  2. [2] W. Duke and H. Iwaniec, Estimates for coefficients of L-functions II, in: Proc. Amalfi Conf. Analytic Number Theory (1989), E. Bombieri et al. (eds.), Università di Salerno, 1992, 71-82. Zbl0787.11020
  3. [3] J. Kaczorowski and A. Perelli, On the structure of the Selberg class, I: 0 ≤ d ≤ 1, Acta Math. 182 (1999), 207-241. Zbl1126.11335
  4. [4] T. Miyake, Modular Forms, Springer, 1989. 
  5. [5] A. Selberg, Old and new conjectures and results about a class of Dirichlet series, in: Collected Papers, Vol. II, Springer, 1991, 47-63; also in: Proc. Amalfi Conf. Analytic Number Theory (1989), E. Bombieri et al. (eds.), Università di Salerno, 1992, 367-385. 
  6. [6] F. Shahidi, On certain L-functions, Amer. J. Math. 103 (1980), 297-355. Zbl0467.12013
  7. [7] F. Shahidi, Third symmetric power L-functions for GL(2), Compositio Math. 70 (1989), 245-275. Zbl0684.10026
  8. [8] G. Shimura, On the holomorphy of certain Dirichlet series, Proc. London Math. Soc. 31 (1975), 79-98. Zbl0311.10029

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