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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
6
votes
1
answer
2k
views
p-adic Gross - Zagier
Let E be an elliptic curve defined over Q. Suppose it has complex multiplication by an order of an imaginary quadratic extension K/Q and p is a prime of good ordinary reduction. Also, suppose that the …
3
votes
1
answer
528
views
Eisenstein series and overconvergence
Can one determine whether a given Eisenstein series ( for GL_{2}(Q)) is overconvergent, just by looking at the associated Galois representation?
2
votes
1
answer
363
views
Mod p theta correspondence
This is a very naive question. Has there been any study in mod p theta correspondence? I am particularly interested in knowing to what extend the results of Harris - Kudla - Sweet's paper - http://www …
1
vote
Two-variable p-adic L-functions of elliptic curves
The conditions on K in Perrin - Riou's paper (Heegner hypothesis) probably exclude the case that we can take K to be the field of complex multiplication.