Non-vanishing of n-th derivatives of twisted elliptic L-functions in the critical point
Journal de théorie des nombres de Bordeaux, Volume 9 (1997) no. 1, p. 1-10

Let E be a modular elliptic curve over L (n) (s,E) denote the n-th derivative of its Hasse-Weil L-series. We estimate the number of twisted elliptic curves E d ,dD such that L (n) (1,E d )0.

On note L (n) (s,E) la dérivée n-ième de la série L de Hasse-Weil associée à une courbe elliptique modulaire E définie sur . On évalue dans cet article le nombre de tordues E d ,dD, de la courbe elliptique E telles que L (n) (1,E d )0.

@article{JTNB_1997__9_1_1_0,
     author = {Pomyka\l a, Jacek},
     title = {Non-vanishing of $n$-th derivatives of twisted elliptic $L$-functions in the critical point},
     journal = {Journal de th\'eorie des nombres de Bordeaux},
     publisher = {Universit\'e Bordeaux I},
     volume = {9},
     number = {1},
     year = {1997},
     pages = {1-10},
     zbl = {0889.11016},
     language = {en},
     url = {http://www.numdam.org/item/JTNB_1997__9_1_1_0}
}
Pomykała, Jacek. Non-vanishing of $n$-th derivatives of twisted elliptic $L$-functions in the critical point. Journal de théorie des nombres de Bordeaux, Volume 9 (1997) no. 1, pp. 1-10. http://www.numdam.org/item/JTNB_1997__9_1_1_0/

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