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edit approved Mar 19, 2022 at 13:50
The Amplitwist
edit approved Mar 19, 2022 at 13:50
The Amplitwist
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In the specific context of elliptic curves $C$ over (any finite extension of) $\mathbf{Q}$, the root number has been analysed by

Rohrlich (David), Galois theory, elliptic curves, and root numbers, Compositio Math. 100 (1996), no. 3, 311–349. Numdam.

Kobayashi (Shin-ichi), The local root number of elliptic curves with wild ramification, Math. Ann. 323 (2002), no. 3, 609–623. Springer.Springer.

and

Dokchitser (Tim) & Dokchitser (Vladimir), Root numbers of elliptic curves in residue characteristic 2, Bull. Lond. Math. Soc. 40 (2008), no. 3, 516–524. Oxford Journals.Oxford Journals.

In the specific context of elliptic curves $C$ over (any finite extension of) $\mathbf{Q}$, the root number has been analysed by

Rohrlich (David), Galois theory, elliptic curves, and root numbers, Compositio Math. 100 (1996), no. 3, 311–349. Numdam.

Kobayashi (Shin-ichi), The local root number of elliptic curves with wild ramification, Math. Ann. 323 (2002), no. 3, 609–623. Springer.

and

Dokchitser (Tim) & Dokchitser (Vladimir), Root numbers of elliptic curves in residue characteristic 2, Bull. Lond. Math. Soc. 40 (2008), no. 3, 516–524. Oxford Journals.

In the specific context of elliptic curves $C$ over (any finite extension of) $\mathbf{Q}$, the root number has been analysed by

Rohrlich (David), Galois theory, elliptic curves, and root numbers, Compositio Math. 100 (1996), no. 3, 311–349. Numdam.

Kobayashi (Shin-ichi), The local root number of elliptic curves with wild ramification, Math. Ann. 323 (2002), no. 3, 609–623. Springer.

and

Dokchitser (Tim) & Dokchitser (Vladimir), Root numbers of elliptic curves in residue characteristic 2, Bull. Lond. Math. Soc. 40 (2008), no. 3, 516–524. Oxford Journals.

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Chandan Singh Dalawat
Chandan Singh Dalawat
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In the specific context of elliptic curves $C$ over (any finite extension of) $\mathbf{Q}$, the root number has been analysed by

Rohrlich (David), Galois theory, elliptic curves, and root numbers, Compositio Math. 100 (1996), no. 3, 311–349. Numdam.

Kobayashi (Shin-ichi), The local root number of elliptic curves with wild ramification, Math. Ann. 323 (2002), no. 3, 609–623. Springer.

and

Dokchitser (Tim) & Dokchitser (Vladimir), Root numbers of elliptic curves in residue characteristic 2, Bull. Lond. Math. Soc. 40 (2008), no. 3, 516–524. Oxford Journals.