Convolution L -series

W. Duke; H. Iwaniec

Compositio Mathematica (1994)

  • Volume: 91, Issue: 2, page 145-158
  • ISSN: 0010-437X

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Duke, W., and Iwaniec, H.. "Convolution $L$-series." Compositio Mathematica 91.2 (1994): 145-158. <http://eudml.org/doc/90286>.

@article{Duke1994,
author = {Duke, W., Iwaniec, H.},
journal = {Compositio Mathematica},
keywords = {convolution -series; convergence; analytic continuation; symmetric power -functions; symmetric cube -function of a Hecke eigenform; meromorphic continuation},
language = {eng},
number = {2},
pages = {145-158},
publisher = {Kluwer Academic Publishers},
title = {Convolution $L$-series},
url = {http://eudml.org/doc/90286},
volume = {91},
year = {1994},
}

TY - JOUR
AU - Duke, W.
AU - Iwaniec, H.
TI - Convolution $L$-series
JO - Compositio Mathematica
PY - 1994
PB - Kluwer Academic Publishers
VL - 91
IS - 2
SP - 145
EP - 158
LA - eng
KW - convolution -series; convergence; analytic continuation; symmetric power -functions; symmetric cube -function of a Hecke eigenform; meromorphic continuation
UR - http://eudml.org/doc/90286
ER -

References

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  1. 1 E. Bombieri: Le grand crible dans la théorie analytique des nombres, Astérisque18 (1973). Zbl0292.10035MR891718
  2. 2 D. Bump: The Rankin-Selberg method. In: Number Theory, Trace Formulas and Discrete Groups. Oslo, Norway (1987), Academic Press (1989). Zbl0668.10034MR993311
  3. 3 P. Deligne: Le conjecture de Weil I, Publ. Math. I.H.E.S.43 (1974), 273-307. Zbl0287.14001MR340258
  4. 4 W. Duke and H. Iwaniec: Estimates for coefficients of L-functions. I. In: Automorphic Forms and Analytic Number Theory. CRM Publications, Montreal (1990) pp. 43-47. Zbl0745.11030MR1111010
  5. 5 W. Duke and H. Iwaniec: Estimates for coefficients of L-functions. II. In: Analytic Number Theory. Proceedings of the Amalfi Conference (1989), Università di Salerno (1992) pp. 71-82. Zbl0787.11020MR1220457
  6. 6 W. Duke and H. Iwaniec, Estimates for coefficients of L-functions. III. In: The Séminaire de Théorie des Nombres. Paris (1989- 90) pp. 113-120. Zbl0763.11024MR1476732
  7. 7 W. Duke and H. Iwaniec: Estimates for coefficients of L-functions. IV. Amer. J. Math.116 (1993) 1-11. Zbl0820.11032MR1262431
  8. 8 F. Shahidi: Automorphic L-functions. In: Automorphic Forms, Shimura Varieties, and L-Functions. Proceedings of the conference in Ann Arbor (1988), Academic Press, Boston (1990) pp. 415-437. Zbl0715.11067MR1044824

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