Averages of twisted elliptic L-functions
A. Perelli ; J. Pomykała
Acta Arithmetica, Tome 80 (1997), p. 149-163 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1997-01-01
EUDML-ID : urn:eudml:doc:207034 
@article{bwmeta1.element.bwnjournal-article-aav80i2p149bwm,
     author = {A. Perelli and J. Pomyka\l a},
     title = {Averages of twisted elliptic L-functions},
     journal = {Acta Arithmetica},
     volume = {80},
     year = {1997},
     pages = {149-163},
     zbl = {0878.11022},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav80i2p149bwm}
}

A. Perelli; J. Pomykała. Averages of twisted elliptic L-functions. Acta Arithmetica, Tome 80 (1997) pp. 149-163. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav80i2p149bwm/

[000] [1] A. Brumer, The average rank of elliptic curves I, Invent. Math. 109 (1992), 445-472. | Zbl 0783.14019

[001] [2] W. Duke, The critical order of vanishing of automorphic L-functions with large level, ibid. 119 (1995), 165-174. | Zbl 0838.11035

[002] [3] S. Fermigier, Annulation de la cohomologie cuspidale de sous-groupes de congruence de GLn(ℤ), Math. Ann. 306 (1996), 247-256.

[003] [4] E. Fouvry et J. Pomykała, Rang des courbes elliptiques et sommes d'exponentielles, Monatsh. Math. 116 (1993), 111-125.

[004] [5] D. Goldfeld, Conjectures on elliptic curves over quadratic fields, in: Proc. Southern Illinois Number Theory Conference, Lecture Notes in Math. 751, Springer, 1979, 108-118.

[005] [6] D. R. Heath-Brown, A mean value estimate for real character sums, Acta Arith. 72 (1995), 235-275. | Zbl 0828.11040

[006] [7] L. Hörmander, The Analysis of Linear Partial Differential Operators I, Springer, 1983. | Zbl 0521.35001

[007] [8] H. Iwaniec, On the order of vanishing of modular L-functions at the critical point, Sém. Théor. Nombres Bordeaux 2 (1990), 365-376. | Zbl 0719.11029

[008] [9] M. Jutila, On the mean value of L(1/2,χ) for real characters, Analysis 1 (1981), 149-161.

[009] [10] J.-F. Mestre, Formules explicites et minorations de conducteurs de variétés algébriques, Compositio Math. 58 (1986), 209-232.

[010] [11] P. Michel, Rang moyen de familles de courbes elliptiques et lois de Sato-Tate, Monatsh. Math. 120 (1995), 127-136.

[011] [12] H. L. Montgomery, Topics in Multiplicative Number Theory, Lecture Notes in Math. 227, Springer, 1971. | Zbl 0216.03501

[012] [13] M. R. Murty, The analytic rank of J0(N)(ℚ), in: Number Theory, K. Dilcher (ed.), Amer. Math. Soc., 1995, 263-279. | Zbl 0851.11036

[013] [14] M. R. Murty and V. K. Murty, Mean values of derivatives of modular L-series, Ann. of Math. 133 (1991), 447-475. | Zbl 0745.11032

[014] [15] Z. Szmydt and B. Ziemian, The Mellin Transformation and Fuchsian Type Partial Differential Equations, Kluwer, 1992. | Zbl 0771.35002

[015] [16] A. Weil, Sur les 'formules explicites' de la théorie des nombres premiers, Comm. Lund (vol. dédié à M. Riesz) (1952), 252-265. | Zbl 0049.03205