Zero density estimates of L-functions associated with cusp forms

Yuichi Kamiya

Acta Arithmetica (1998)

  • Volume: 85, Issue: 3, page 209-227
  • ISSN: 0065-1036

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Yuichi Kamiya. "Zero density estimates of L-functions associated with cusp forms." Acta Arithmetica 85.3 (1998): 209-227. <http://eudml.org/doc/207164>.

@article{YuichiKamiya1998,
author = {Yuichi Kamiya},
journal = {Acta Arithmetica},
keywords = {holomorphic cusp form; Dirichlet character; primitive character; zero density estimates; approximate functional equation},
language = {eng},
number = {3},
pages = {209-227},
title = {Zero density estimates of L-functions associated with cusp forms},
url = {http://eudml.org/doc/207164},
volume = {85},
year = {1998},
}

TY - JOUR
AU - Yuichi Kamiya
TI - Zero density estimates of L-functions associated with cusp forms
JO - Acta Arithmetica
PY - 1998
VL - 85
IS - 3
SP - 209
EP - 227
LA - eng
KW - holomorphic cusp form; Dirichlet character; primitive character; zero density estimates; approximate functional equation
UR - http://eudml.org/doc/207164
ER -

References

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  1. [1] H. Davenport, Multiplicative Number Theory, 2nd ed., Grad. Texts in Math. 74, Springer, Berlin, 1980. Zbl0453.10002
  2. [2] P. Deligne, La conjecture de Weil, Inst. Hautes Études Sci. Publ. Math. 43 (1974), 273-307. 
  3. [3] A. Good, Approximative Funktionalgleichungen und Mittelwertsätze für Dirichletreihen, die Spitzenformen assoziiert sind, Comment. Math. Helv. 50 (1975), 327-361. Zbl0315.10038
  4. [4] A. Ivić, On zeta-functions associated with Fourier coefficients of cusp forms, in: Proceedings of the Amalfi Conference on Analytic Number Theory, E. Bombieri et al. (eds.), Università di Salerno, 1992, 231-246. Zbl0787.11035
  5. [5] T. Miyake, Modular Forms, Springer, Berlin, 1989. 
  6. [6] H. L. Montgomery, Topics in Multiplicative Number Theory, Lecture Notes in Math. 227, Springer, Berlin, 1971. Zbl0216.03501
  7. [7] R. A. Rankin, Contributions to the theory of Ramanujan's function τ(n) and similar arithmetical functions II, Proc. Cambridge Philos. Soc. 35 (1939), 357-372. Zbl0021.39202

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