Averages of twisted elliptic L-functions

A. Perelli; J. Pomykała

Acta Arithmetica (1997)

  • Volume: 80, Issue: 2, page 149-163
  • ISSN: 0065-1036

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A. Perelli, and J. Pomykała. "Averages of twisted elliptic L-functions." Acta Arithmetica 80.2 (1997): 149-163. <http://eudml.org/doc/207034>.

@article{A1997,
author = {A. Perelli, J. Pomykała},
journal = {Acta Arithmetica},
keywords = {large sieve estimates; twisted elliptic -functions; analytic rank; Weil explicit formulas; test function},
language = {eng},
number = {2},
pages = {149-163},
title = {Averages of twisted elliptic L-functions},
url = {http://eudml.org/doc/207034},
volume = {80},
year = {1997},
}

TY - JOUR
AU - A. Perelli
AU - J. Pomykała
TI - Averages of twisted elliptic L-functions
JO - Acta Arithmetica
PY - 1997
VL - 80
IS - 2
SP - 149
EP - 163
LA - eng
KW - large sieve estimates; twisted elliptic -functions; analytic rank; Weil explicit formulas; test function
UR - http://eudml.org/doc/207034
ER -

References

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  7. [7] L. Hörmander, The Analysis of Linear Partial Differential Operators I, Springer, 1983. Zbl0521.35001
  8. [8] H. Iwaniec, On the order of vanishing of modular L-functions at the critical point, Sém. Théor. Nombres Bordeaux 2 (1990), 365-376. Zbl0719.11029
  9. [9] M. Jutila, On the mean value of L(1/2,χ) for real characters, Analysis 1 (1981), 149-161. 
  10. [10] J.-F. Mestre, Formules explicites et minorations de conducteurs de variétés algébriques, Compositio Math. 58 (1986), 209-232. 
  11. [11] P. Michel, Rang moyen de familles de courbes elliptiques et lois de Sato-Tate, Monatsh. Math. 120 (1995), 127-136. 
  12. [12] H. L. Montgomery, Topics in Multiplicative Number Theory, Lecture Notes in Math. 227, Springer, 1971. Zbl0216.03501
  13. [13] M. R. Murty, The analytic rank of J 0 ( N ) ( ) , in: Number Theory, K. Dilcher (ed.), Amer. Math. Soc., 1995, 263-279. Zbl0851.11036
  14. [14] M. R. Murty and V. K. Murty, Mean values of derivatives of modular L-series, Ann. of Math. 133 (1991), 447-475. Zbl0745.11032
  15. [15] Z. Szmydt and B. Ziemian, The Mellin Transformation and Fuchsian Type Partial Differential Equations, Kluwer, 1992. Zbl0771.35002
  16. [16] A. Weil, Sur les 'formules explicites' de la théorie des nombres premiers, Comm. Lund (vol. dédié à M. Riesz) (1952), 252-265. Zbl0049.03205

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