71 citations · 395 across the 32 of their papers we have counts for
Showing 2006Show all
3 papers · 1 filter
math.NT2006★ 22 cited
Root numbers of elliptic curves in residue characteristic 2
T. Dokchitser, V. Dokchitser
To determine the global root number of an elliptic curve defined over a number field, one needs to understand all the local root numbers. These have been classified except at place…
math.NT2006★ 63 cited
On the Birch-Swinnerton-Dyer quotients modulo squares
Tim Dokchitser, Vladimir Dokchitser
Let A be an abelian variety over a number field K. An identity between the L-functions L(A/K_i,s) for extensions K_i of K induces a conjectural relation between the Birch-Swinnerto…
math.NT2006★ 35 cited
Parity of ranks for elliptic curves with a cyclic isogeny
Tim Dokchitser, Vladimir Dokchitser
Let E be an elliptic curve over a number field K which admits a cyclic p-isogeny with p odd and semistable at primes above p. We determine the root number and the parity of the p-S…