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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.
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