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Non-abelian $p$-adic $L$-functions and Eisenstein series of unitary groups; the CM method
Eisenstein series unitary groups the CM method Number Theory
2011/8/26
Abstract: In this work we prove the so-called "torsion congruences" between abelian $p$-adic $L$-functions that are related to automorphic representations of definite unitary groups. These congruences...
Accelerating the CM method
CM method
2010/11/30
Given a prime q and a negative discriminant D, the CM method constructs an elliptic curve E/Fq by obtaining a root of the Hilbert class polynomial HD(X) modulo q.
CHOOSING THE CORRECT ELLIPTIC CURVE IN THE CM METHOD
elliptic curves CM method point-counting
2008/8/19
We give easy ways to distinguish between the twists of an ordinary
elliptic curve E over Fp in order to identify one with p + 1 − 2U points, when
p = U2 + dV 2 with 2U, 2V 2 Z and E is constr...