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Showing 2009 · math.NTShow all
3 papers · 2 filters
math.NT2009★ 2 cited
On the tempered L-function conjecture
Volker Heiermann, Eric Opdam
We give a general proof of Shahidi's tempered L-function conjecture, which has previously been known in all but one case. One of the consequences is the standard modules conjecture…
math.NT2009★ 12 cited
On the existence of dimension zero divisors in algebraic function fields defined over F_q
Stephane Ballet, Christophe Ritzenthaler, Robert Rolland
Let F/F_q be an algebraic function field of genus g defined over a finite field F_q. We obtain new results on the existence, the number and the density of dimension zero divisors o…
math.NT2009★ 5 cited
Faster computation of the Tate pairing
Christophe Arene, Tanja Lange, Michael Naehrig +1
This paper proposes new explicit formulas for the doubling and addition step in Miller's algorithm to compute the Tate pairing. For Edwards curves the formulas come from a new way…